* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project
Download P3 Booklet FINAL - Highfields School, Wolverhampton
Theoretical and experimental justification for the Schrödinger equation wikipedia , lookup
Jerk (physics) wikipedia , lookup
Specific impulse wikipedia , lookup
Equations of motion wikipedia , lookup
Classical mechanics wikipedia , lookup
Mass versus weight wikipedia , lookup
Newton's laws of motion wikipedia , lookup
Variable speed of light wikipedia , lookup
Faster-than-light wikipedia , lookup
Relativistic mechanics wikipedia , lookup
Classical central-force problem wikipedia , lookup
HIGHFIELDS SCHOOL Physics Department OCR GCSE Physics P3 – Forces for Transport Student Support Booklet Equations Take the value of g to be 10 m/s2 or 10 N/kg unless stated otherwise in the question. P3 – Key Words ABS Braking system known as advance braking system which helps to control a skidding car Accelerate An object accelerates if it speeds up Acceleration A measure of how quickly the speed of a moving object changes (if speed is in m/s then acceleration is in m/s2) Air bags Cushions which inflate with gas to protect people in a vehicle accident Air resistance The force exerted by air to any object passing through it Average speed Total distance travelled divided by the total time taken for a journey Balanced forces Forces acting in opposite directions that are equal in size Braking distance Distance travelled while a car is braking. Conservation of energy Principle stating that energy can neither be created nor destroyed, but can be transferred from one form into another Crash barrier Barrier used to prevent vehicles crossing from one carriageway to the other, causing a head-on collision. Crash testing Deliberately crashing vehicles and analysing results to improve car safety Cruise control System that automatically controls the speed of a vehicle Crumple zones Areas of a car that absorb the energy of a crash to protect the centre part of the vehicle Decelerates An object decelerates if it slows down. Deceleration A measure of how quickly the speed of a moving object decreases Distance-time graph A plot of the distance moved against the time taken for a journey Drag Energy losses caused by the continual pushing of an object against the air or a liquid Dummies Used in crash testing to learn what would happen to the occupants in the event of a crash Electric cars Cars running on solar power or batteries Electric windows Windows that can be opened or closed at the push of a button Energy The ability to ‘do work’ – the human body needs energy to function Escape lane Rough surfaced uphill path adjacent to a steep downhill road enabling vehicles with braking problems to stop Force Fossil fuels Free-fall Friction Gradient Gravitational field strength Gravitational potential energy Gravity Hybrid cars Impact Instantaneous speed Joule Kilogram (kg) Kinetic energy Linear Magnitude Mass Momentum Net force Newtons Paddle shift controls Power Primary safety features Reaction time Relative velocity Resultant force Safety cage safely A push or a pull which is able to change the velocity or shape of a body Fuels such as coal, oil and natural gas A body falling through the atmosphere without an open parachute Energy losses caused by two or more surfaces rubbing against each other Rate of change of two quantities on a graph; change in y divided by change in x The force of attraction between two masses The energy a body has because of its position in a gravitational field e.g. an object An attractive force between objects (dependent on their masses and the distance between them) Cars powered by electric batteries which also have fuel engines Collision between two moving objects or a moving object and a stationary object The speed of a moving object at one particular moment Unit of work done and energy Unit of mass The energy that moving object have A line of constant gradient on a graph Size of something Describes the amount of something, measured in kilograms (kg) The product of mass and velocity Same as resultant force Unit of force (abbreviated to N) Controls attached to the steering wheel of a car so that the driver can use them without taking their eyes off the road. Rate of transfer of energy, units are Watts (W) Help to prevent a crash e.g. ABS brakes, traction control The time it takes for the driver to step on the brake after seeing an obstacle Vector difference between the velocities of two objects The combined effect of forces acting on an object A car’s rigid frame that protects occupants in a roll-over accident Seat belts Secondary safety features Side impact beams Speed Speed camera Speed-time graph Stopping distance Streamlining Terminal speed or velocity Thinking distance Traction control Tread Unbalanced forces Velocity Watt Weight Work done Harness worn by occupants of motor vehicles to prevent them from being thrown about in a collision Protect occupants in the event of a crash e.g. crumple zones, air bags, seatbelts Bars in the side of a car to lessen the amount of bodywork distortion inside the car How fast an object travels: speed = distance ÷ time Device used to measure the speed of a moving vehicle A plot of how the speed of an object varies with time Sum of the thinking and braking distances Shaping an object to reduce resistance to motion The top speed reached when drag matches driving force Distance travelled while the driver reacts before braking Helps limit tyre slip in acceleration on slippery surfaces Pattern on part of tyre that comes into contact with road surface to provide traction Forces acting in opposite directions that are unequal in size How fast an object is travelling in a particular direction; velocity = displacement ÷ time A unit of power, 1W = 1 joule of energy being transferred per second The force of gravity acting on a body Product of the force and distance moved in the direction of the force Module P3: Forces for Transport P3a: Speed Transport and road safety provide the context for this module. The abilities to describe and measure motion are used in the treatment of issues involving everyday transport. Speed is studied in this item; how it can be measured and calculated and how distance and time can be graphically represented. GRADE G - D Use the equation: to include change of units from km to m. Understand why one type of speed camera takes two photographs: • a certain time apart GRADE C Interpret the relationship between speed, distance and time including: • increasing the speed, which increases the distance travelled in the same time GRADE B – A* Interpret the relationship between speed, distance and time to include the effect of changing any one or both of the quantities. Use the equation, including a change of subject and/or units: • increasing the speed reduces the time needed to cover the same distance. Use the equation, including a change of subject: • when the vehicle moves over marked lines a known distance apart on the road. Understand how average speed cameras work. Draw and interpret qualitatively graphs of distance against time. Describe and interpret the gradient (steepness) of a distance-time graph as speed (higher speed gives steeper gradient). Draw and interpret graphs of distance against time: • qualitatively for non-uniform speed • calculations of speed from the gradient of distance-time graph for uniform speed. Targets for Improvement P3a Activities Time (s) Distance (m) Distance Distance (m) (m) Distance (m) 1. Describe the motion of an object in each of the following distance-time graphs: Time (s) Time (s) 2. Work out the speed on the graph at each stage below (show your working out): Stage 1: ……………………………………………………………………………………………… Stage 2: ……………………………………………………………………………………………… Stage 3: ……………………………………………………………………………………………… Stage 4: ……………………………………………………………………………………………… 3. Answer the following calculations: a. A plane on a short internal flight covers 400 km in 30 minutes. (i) What is the average speed in km/hour? …………………………………………………………………………………………………………... …………………………………………………………………………………………………………... …………………………………………………………………………………………………………... (ii) What is the speed in m/s? …………………………………………………………………………………………………………... …………………………………………………………………………………………………………... …………………………………………………………………………………………………………... b. A car speeds up from 15 m/s to 30 m/s in 20 s. What is the distance travelled? …………………………………………………………………………………………………………... …………………………………………………………………………………………………………... …………………………………………………………………………………………………………... …………………………………………………………………………………………………………... c. Find the speed in m/s of a walker who travels 12 km in 2.5 hours. …………………………………………………………………………………………………………... …………………………………………………………………………………………………………... …………………………………………………………………………………………………………... d. How long does it take light to travel from the Sun to the Earth (150 000 000 km) at a speed of 300 000 km/s? Provide the answer in minutes and seconds. …………………………………………………………………………………………………………... …………………………………………………………………………………………………………... …………………………………………………………………………………………………………... …………………………………………………………………………………………………………... Module P3: Forces for Transport P3b: Changing Speed In this item the idea of acceleration is developed. The concept of velocity is introduced here, and is developed further in P5. Accelerations (involving the change in speed) of cars can be used and graphically illustrated and studied. GRADE G - D GRADE C GRADE B – A* Describe the trends in speed and time from a simple speedtime graph: • horizontal line – constant speed • straight line positive gradient – increasing speed • straight line negative gradient – decreasing speed. Describe, draw and interpret qualitatively, graphs of speed against time for uniform acceleration to include: • greater acceleration shown by a higher gradient • the significance of a positive or negative gradient • calculations of distance travelled from a simple speedtime graph for uniform acceleration. Describe, draw and interpret graphs of speed against time including: • quantitatively for uniform acceleration • calculations of distance travelled from a speed-time graph for uniform acceleration • calculations of acceleration from a speed-time graph for uniform acceleration • qualitative interpretation of speed-time graphs for nonuniform acceleration. Targets for Improvement Recognise that acceleration involves a change in speed (limited to motion in a straight line): • speeding up involves an acceleration • slowing down involves a deceleration • greater change in speed (in a given time) results in higher acceleration. Recall that acceleration is measured in metres per second squared (m/s2). Use the equation: when given the change in speed. Recognise that direction is important when describing the motion of an object. Understand that the velocity of an object is its speed combined with its direction. Describe acceleration as change in speed per unit time and that: • increase in speed results from a positive acceleration • decrease in speed results from a negative acceleration or deceleration. Explain how acceleration can involve either a change: • in speed • in direction • in both speed and direction. Interpret the relationship between acceleration, change of speed and time to include the effect of changing Use the equation including any one or two of the prior calculation of the change quantities. in speed: Use the equation, including a change of subject: Recognise that for two objects moving in opposite directions at the same speed, their velocities will have identical magnitude but opposite signs. Calculate the relative velocity of objects moving in parallel. P3b Activities Time (s) Velocity (m/s) Velocity (m/s) Velocity (m/s) 1. Describe motion shown in each of the following velocity-time graphs: Time (s) Time (s) 2. Sketch a velocity-time graph in the box below to show a car that starts from rest. The car then increases acceleration for 15 seconds before travelling at a steady speed of 14 m/s for 180 seconds. The car then decelerates at a constant rate before coming to a stop after a total of 240 seconds of travel. 3. Complete the following calculations: a) A cyclist accelerates from 10 to 20m/s in 5 seconds. What is her acceleration? …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… b) A car accelerates from 15 to 30m/s with an acceleration of 2m/s2. How long did this take? …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… c) A ball is dropped and accelerates downwards at a rate of 10m/s2 for 15 seconds. How much will the ball’s velocity increase by? …………………………………………………………………………………… …………………………………………………………………………………… …………………………………………………………………………………… 4. What is the distance travelled in the first 40 seconds of Jessica’s training run? Module P3: Forces for Transport P3c: Forces and Motion Before taking your driving test you need to pass a theory test. Part of this involves driving safely and knowledge of car stopping distances. Driving fast may be tempting but stopping safely is more important. In this item we start to understand the effects of forces on braking and the factors which affect stopping distances. The experiments using elastics, light gates and trolleys allow the opportunity to collect and analyse scientific data using ICT tools and the interpretation of the data using creative thought to develop theories. Work on stopping distances provides the opportunity to discuss how and why decisions about science and technology are made, including ethical issues and the social, economic and environmental effects of such decisions. GRADE G - D Recognise situations where forces cause things to: • speed up • slow down • stay at the same speed. Use the equation: GRADE C Describe and interpret the relationship between force, mass and acceleration in everyday examples. Use the equation, including a change of subject and the need to previously calculate the accelerating force: Use the equation, including a change of subject: force = mass × acceleration force = mass × acceleration force = mass × acceleration when given mass and acceleration. GRADE B – A* Targets for Improvement Describe thinking distance as: • the distance travelled between the need for braking occurring and the brakes starting to act. Describe braking distance as: • the distance taken to stop once the brakes have been applied. Describe stopping distance as: • thinking distance + braking distance. Explain how certain factors may increase thinking distance: • driver tiredness • influence of alcohol or other drugs • greater speed • distractions or lack of concentration. Explain how certain factors may increase braking distance: • road conditions • car conditions • greater speed. Calculate stopping distance given values for thinking distance and braking distance. Interpret data about thinking distances and braking Explain why thinking, braking distances. and stopping distances are significant for road safety. Explain the implications of stopping distances in road safety: • driving too close to the car in front (i.e. inside thinking distance) • speed limits • road conditions. Explain qualitatively everyday situations where braking distance is changed including: • friction • mass • speed • braking force. Draw and interpret the shapes of graphs for thinking and braking distance against speed. Explain the effects of increased speed on: • thinking distance – increases linearly • braking distance – increases as a squared relationship e.g. if speed doubles braking distance increases by a factor of four, if speed trebles braking distance increases by a factor of nine. P3c Activities 1. Put the equation: Force = mass x acceleration into a formulae triangle and label with the correct units. 2. Use the formulae triangle to complete the following calculations: a) A force of 2000N is applied to push a mass of 500kg. How quickly does it accelerate? ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… b) A force of 6000N acts on a car to make it accelerate by 1.5m/s2. How heavy is the car? ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… c) A car accelerates at a rate of 3.5m/s2. If it has a mass is 750kg how much driving force is the engine applying? ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… ………………………………………………………………………………………………………… 3. Look at the two vehicles pictured. If they have the same force, which will accelerate faster and why? (Try to describe the relationship in as much detail as you can). ………………………………………………………………………………… ………………………………………………………………………………… ………………………………………………………………………………… ………………………………………………………………………………… 4. “There is a proportional relationship between force and acceleration.” What does this statement mean? ......................................................................................... .................................................................................................................................................. .................................................................................................................................................. 5. What factors affect thinking distance and braking distance? Complete the table below: Thinking Distance Braking Distance 6. Describe the relationship between (a) thinking distance (b) braking distance and speed? a).................................................................... ........................................................................ ........................................................................ ........................................................................ b).................................................................... ........................................................................ ........................................................................ ........................................................................ ....... Module P3: Forces for Transport P3d: Work and Power Work is done whenever a force moves something. Transport, by its nature, is always moving and energy is being transferred all the time. In this item we will learn about power and the energy we use to provide it. Different power ratings, fuel consumption, engine size costs and associated environmental issues about car use can be used to develop the skills of presenting information, developing an argument and drawing a conclusion using scientific terms. This also provides the opportunity to discuss how scientific knowledge and ideas change over time. GRADE G - D GRADE C Recall everyday examples in which work is done and power is developed to include: • lifting weights • climbing stairs • pulling a sledge • pushing a shopping trolley. Use the equation: Describe how energy is transferred when work is done. Use the equation, including a change of subject: Understand that the amount of work done depends on: • the size of the force in newtons (N) • the distance travelled in metres (m). work done = force × distance weight = mass × gravitational field strength GRADE B – A* Use the equation, including a change of subject: weight = mass × gravitational field strength Use the equation: work done = force × distance then use the value for work done in the power equation below. Targets for Improvement Recall that the joule is the unit for both work and energy. Use the equation: work done = force × distance Describe power as a measurement of how quickly work is being done. Recall that power is measured in watts (W). Recognise that cars: • have different power ratings • have different engine sizes and these relate to fuel consumption. Use the equation: Interpret fuel consumption figures from data on cars to include: • environmental issues • costs. Use the equation, including a change of subject: when work has been calculated. Use and understand the derivation of the power equation in the form: power = force × speed P3d Activities 1. Circle the two things needed for work to be done: Distance Acceleration Time Force Velocity Mass 2. Which of these are examples of doing work? a) A ball rolling across a playground b) A parent picking up a baby. c) A lift going up a block of flats. d) Someone sawing a piece of wood. e) Standing at a bus stop with a bag on your back. 3. Complete the following table: Mass (kg) 60 Weight (N) 750 1.5 4. Complete the following calculations: a) Jane is stacking a food shelf with tins, each weighing 15N. When she has put 16 tins on the shelf she calculates that she has done 360J of work. How high is the shelf? .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... b) The brakes in a car produce a force of 9000N and the car has to lose 450 000J of kinetic energy to come to a complete stop. What is the braking distance? .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... c) A boy weighing 550N runs up the stairs, (i) in 5 seconds, and then (ii) in 10 seconds. The vertical height of the stairs is 5m. What is his power output in each case? .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... 5. Show that the work done equation and power equation can be combined to derive: power = force x speed 6. Match up each variable with the correct units: Power metre, m Work Done Watt, W Force Joule, J Distance Metres per second, m/s Speed Newton, N 7. Why do more powerful cars have a greater fuel consumption? What are the economic and environmental impacts of having a greater fuel consumption? .................................................................................................................................................. .................................................................................................................................................. .................................................................................................................................................. .................................................................................................................................................. .................................................................................................................................................. Module P3: Forces for Transport P3e: Energy on the Move Transport is essential to modern life whether it be bus, train, tram, bicycle, walking or car. All these need a source of energy which is transferred to kinetic energy. Some vehicles use more fossil fuels than others and this has implications for cost, pollution in our cities and future energy reserves. Other vehicles may use bio-fuels or solar power which are renewable energy sources. GRADE G - D Understand that kinetic energy (KE) depends on the mass and speed of an object. Recognise and describe (derivatives of) fossil fuels as the main fuels in road transport: • petrol • diesel. Recall that bio-fuels and solar energy are possible GRADE C Use and apply the equation: 1 𝐾𝐸 = 𝑚𝑣 2 2 GRADE B – A* Use and apply the equation: 1 𝐾𝐸 = 𝑚𝑣 2 2 including a change of subject. Apply the ideas of kinetic energy to: • relationship between braking distances and speed • everyday situations involving objects moving. Describe arguments for and Explain how bio-fuelled and against the use of battery solar powered vehicles: powered cars. • reduce pollution at the point of use Explain why electrically • produce pollution in their powered cars do not pollute at production the point of use whereas fossil • may lead to an overall fuel cars do. reduction in CO2 emissions. Targets for Improvement alternatives to fossil fuels. Recognise that battery driven cars need to have the battery Describe how electricity can recharged: be used for road transport, and • this uses electricity produced how its use could affect from a power station different groups of people and • power stations cause the environment: pollution. • battery driven cars • solar power/cars with solar Explain why we may have to panels. rely on bio-fuelled and solar powered vehicles in the future. Draw conclusions from basic Interpret data about fuel data about fuel consumption, consumption, including including emissions (no recall emissions. required). Recognise that the shape of a moving object can influence its top speed and fuel consumption: • wedge shape of sports car • deflectors on lorries and caravans • roof boxes on cars • driving with car windows open. Explain how car fuel consumption figures depend on: • energy required to increase KE • energy required to do work against friction • driving styles and speeds • road conditions. Evaluate and compare data about fuel consumption and emissions. P3e Activities 1. Rearrange the equation for KE to make (i) mass and (ii) velocity the subject. (i) making mass the subject: (ii) making velocity the subject: 2. Complete the following calculations: a) A 70 kg skydiver falls with a terminal velocity of 50 m/s. How much Kinetic Energy does he have? .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... b) A shark swims with a velocity of 10 m/s and has 50 kJ of Kinetic Energy. What is its mass? .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... c) An 8 g bullet is fired from a gun where it gains 490 J of kinetic energy. How fast is it moving? .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... 3. Which factor – mass or velocity – has the greatest effect on the kinetic energy of a moving object? Use the data below and explain in as much scientific detail as you can using key terminology. .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... 4. What are the advantages and disadvantages of using electric cars? Advantages Disadvantages 5. What factors can affect the top speed of a car and its fuel consumption? Explain each factor. _________________ ...................................................................................................... _________________ ...................................................................................................... _________________ ...................................................................................................... _________________ ...................................................................................................... Module P3: Forces for Transport P3f: Crumple Zones When cars stop energy is absorbed. This happens during braking and in collisions. Injuries in collisions can be reduced by clever car design and this unit explores the science behind the safety features of modern vehicles. Collisions are studied here in terms of energy, acceleration, force and momentum. GRADE G - D Use the equation: GRADE C Use the equation including a change of subject: GRADE B – A* Use and apply the equation including a change of subject: momentum = mass × velocity momentum = mass × velocity to calculate momentum. Describe why the greater the mass of an object and/or the greater the velocity, the more momentum the object has in the direction of motion. Use the equation: 𝑓𝑜𝑟𝑐𝑒 = 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑚𝑜𝑚𝑒𝑛𝑡𝑢𝑚 𝑡𝑖𝑚𝑒 to calculate force. 𝑓𝑜𝑟𝑐𝑒 = 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑚𝑜𝑚𝑒𝑛𝑡𝑢𝑚 𝑡𝑖𝑚𝑒 Use Newton’s second law of motion to explain the above points: F = ma Targets for Improvement Recall that a sudden change in momentum in a collision, results in a large force that can cause injury. Explain how spreading the change in momentum over a longer time reduces the likelihood of injury. Explain, using the ideas about momentum, the use of crumple zones, seatbelts and airbags in cars. Describe the typical safety features of modern cars that require energy to be absorbed when vehicles stop: • heating in brakes, crumple zones, seatbelts, airbags. Describe how seatbelts, crumple zones and airbags are useful in a crash because they: • change shape • absorb energy • reduce injuries. Explain why seatbelts have to be replaced after a crash. Describe how test data may be gathered and used to identify and develop safety features for cars. Recognise the risks and benefits arising from the use of seatbelts. Recall and distinguish between typical safety features of cars which: • are intended to prevent accidents, or • are intended to protect occupants in the event of an accident. Explain why forces can be reduced when stopping (e.g. crumple zones, braking distances, escape lanes, crash barriers, seatbelts and airbags) by: • increasing stopping or collision time • increasing stopping or collision distance • decreasing acceleration. Evaluate the effectiveness of given safety features in terms of saving lives and reducing injuries. Describe how ABS brakes: • make it possible to keep control of the steering of a vehicle in hazardous situations (e.g. when braking hard or going into a skid) • work by the brakes automatically pumping on and off to avoid skidding • sometimes reduce braking distances. Analyse personal and social choices in terms of risk and benefits of wearing seatbelts. P3f Activities 1. If two cars have the same mass but one is quicker than the other, which has the most momentum? .................................................................................................................................................. .................................................................................................................................................. 2. If both cars travel at the same velocity, but one is full with luggage and the other is empty, which will have the most momentum? .................................................................................................................................................. .................................................................................................................................................. 3. Complete the following calculations: a) A snooker ball with a mass of 200 g moves with a velocity of 2 m/s. What is its momentum? .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... b) A car with a momentum of 50 000 kg m/s moves with a velocity of 20 m/s. What is the mass of the car? .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... c) A man with a mass of 70 kg walks with a momentum of 140 kg m/s. What is his velocity? .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... d) A car with a mass of 1000 kg accelerates from rest to a velocity of 15 m/s in 15 s. What force is required to do this? …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… e) If a force of 10 kN acts on a helicopter for 15 seconds, what is the change in momentum? .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... 4. Two ice skaters at rest push off from each other. Jason has a mass of 60 kg and Jo has a mass of 40 kg. If Jo moves away at +3 m/s then how fast does Jason move away? (show all of your working out) 5. (a) safety features intended to prevent accidents (b) safety features intended to protect occupants in the event of an accident 6. How does an air bag reduce the risk of injury? .................................................................................................................................................... .................................................................................................................................................... .................................................................................................................................................... Module P3: Forces for Transport P3g: Falling Safely Falling objects are usually subject to at least two forces - weight and drag. Some cars have similar engines to others yet have very different top speeds. This is to do with pairs of forces which may or may not balance. These ideas are of vital importance to the parachutist and drag-racer who want to slow down in time - safely! Investigating falling whirligig, parachutes or plasticine shapes provides the opportunity to explain phenomena by developing and using scientific theories. Work on the balance of forces illustrates the use of modelling in developing scientific understanding. GRADE G - D Recognise that frictional forces (drag, friction, air resistance): • act against the movement • lead to energy loss and inefficiency • can be reduced (shape, lubricant). Explain how objects falling through the Earth’s atmosphere reach a terminal speed. Understand why falling objects do not experience drag when there is no atmosphere. GRADE C GRADE B – A* Explain in terms of the balance of forces how moving objects: • increase speed • decrease speed • maintain steady speed. Explain, in terms of balance of forces, why objects reach a terminal speed: • higher speed = more drag • larger area = more drag • weight (falling object) or driving force (e.g. a car) = drag when travelling at terminal speed. Recognise that acceleration due to gravity (g) is the same for any object at a given point on the Earth’s surface. Understand that gravitational field strength or acceleration due to gravity: • is unaffected by atmospheric changes • varies slightly at different points on the Earth’s surface • will be slightly different on the top of a mountain or down a mineshaft. Targets for Improvement P3g Activities 1. Add force arrows and labels to each diagram below to show (i) increasing speed (ii) decreasing speed (iii) steady speed: (i) Increasing speed (ii) Decreasing speed (iii) Steady speed 2. Explain in terms of forces acting, why objects reach a terminal speed: …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… 3. Tick whether the following statements are true or false: Statement Acceleration due to gravity is the same for any object at a given point on the Earth’s surface. Acceleration due to gravity is affected by atmospheric changes. Acceleration due to gravity does not vary across the Earth’s surface. Acceleration due to gravity is less at the Equator than at the poles. Acceleration due to gravity is 9.81 m/s2 but we often use 10 m/s2 for calculations. TRUE FALSE 4. Label the graph for a skydiver below with as much detail as you can: 5. Describe a situation where drag is increased: …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… 6. Describe a situation where drag is reduced: …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… 7. What would happen if you dropped a hammer and a feather at the same time on: (i) the Earth: …………………………………………………………………………………………... …………………………………………………………………………………………………………… (ii) the Moon: ………………………………………………………………………………………... …………………………………………………………………………………………………………… Module P3: Forces for Transport P3h: Energy of Games and Theme Rides Rides at theme parks are designed to thrill and frighten you in a safe way. We pay good money to have our ‘gravity’ distorted. Theme ride designers are experts on energy and forces. Their simple trick is to use gravity and potential energy as the source of movement. This item will help you understand the science of theme rides and how scientific understanding can be applied by society. GRADE G - D Recognise that objects have gravitational potential energy (GPE) because of their mass and position in Earth’s gravitational field. GRADE C GRADE B – A* Describe everyday examples in which objects have gravitational potential energy (GPE). Understand that for a body falling through the atmosphere at terminal speed: • kinetic energy (KE) does not increase • gravitational potential energy (GPE) is transferred to increased internal or thermal energy of the surrounding air particles through the mechanism of friction. Use the equation: GPE = mgh Recognise and interpret examples of energy transfer between gravitational potential energy (GPE) and kinetic energy (KE). Use and apply the equation, including a change of subject: GPE = mgh Targets for Improvement Recognise everyday examples in which objects use gravitational potential energy (GPE). Interpret a gravity ride (rollercoaster) in terms of: • kinetic energy (KE) • gravitational potential energy (GPE) • energy transfer. Describe the effect of changing mass and speed on kinetic energy (KE): • doubling mass doubles KE • doubling speed quadruples KE. Use and apply the relationship 𝑚𝑔ℎ = 1 𝑚𝑣 2 2 Show that for a given object falling to Earth, this relationship can be expressed as h = v2 ÷ 2g and give an example of how this formula could be used. P3h Activities 1. Give 3 examples of where objects have Gravitational Potential Energy (GPE): 2. When an object falls the kinetic energy gained is equal to the potential energy lost: KE gained = GPE lost Substitute the equations from the formula sheet and rearrange to get an expression for (i) v and (ii) h: (i) (ii) 3. Complete the following calculations: a) The maximum number of people that a lift can safely take is 6 (each person is assumed to have a mass of 80 kg). The mass of the lift is 300 kg. The lift goes up 10 floors, each 8 metres apart. How much work will the lift’s motor have to do to lift a full safe mass up 10 floors? …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… b) i) A car is driving along a mountain road. The combined mass of the car and the luggage is 2920 kg. The car has a velocity of 23 m/s. How much kinetic energy does the car have? …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… (ii) At the top of the road, the car has gained a total height of 1200 m. Calculate the potential energy the car has gained? …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… (iii) As the car rounds a bend at the top of the mountain, a suitcase falls from the roof into the valley below. The suitcase has a mass of 20 kg. Work out the potential energy the suitcase lost when it had fallen a distance of 60 m. …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… (iv)If all the potential energy of the suitcase is converted into kinetic energy, how fast will it be travelling when it has fallen 60 m? …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… (v) Explain why it will not actually be travelling as fast as this. …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… …………………………………………………………………………………………………………… 4. If you double the mass, what effect will this have on the KE? …………………………………………………………………………………………………………… 5. If you double the speed, what effect will this have on the KE? …………………………………………………………………………………………………………… P3 Equation Practice Use the Equation sheet to complete the following questions: 1) 1m/s is an easy walking speed. How far would you cover in an hour at this rate? 2) The braking distance is 35m for the car. If the stopping distance is 50m, how far did the car travel before the driver put their foot on the brakes? 3) A car is travelling at 40 m/s. a) How far would it go in 1 minute? (Remember to turn this to seconds.) b) How long would it take to go 1000m? 4) Put the vehicles in order of acceleration. 5) When John pushes a lawnmower 20 m, he does 800 J of work. What force did he apply? 6) The brakes in a car produce a force of 7000N and the car has to lose 385000 J of kinetic energy. What is the braking distance? 7) A mother pushes a trolley with a force of 45N for a distance of 12m in 50s. What is her power output? 8) A car speeds up from 20 m/s to 35 m/s in 40s. What distance is travelled? These are six mark questions. You will also be assessed on the quality of your written communication (spelling, punctuation and grammar). The 6 mark question template Science – write down the key words/points you will use: (you can photocopy this page and use it to practice each of the questions) Structure – Write a brief plan of the order you will write your points : 1. 2. 3. 4. 5. 6. 6 marks? No problem! Just remember SSS... Now you are ready to write your answer! SPAG (spelling, punctuation and grammar). Make sure you have used full stops, commas, and other punctuation correctly.