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Objective 5 Motion, Forces & Energy Physics the Study of Energy Why things MOVE • The faster things move the more energy they use. • Moving objects have momentum (mass x velocity).. • A force is required to change motion of an object. • Work is done when motion is changed. Forces change the energy of an object when they change its motion. • Power is the rate at which work is done, thus power is the rate at which energy is consumed. Motion can be described as • a change in an object’s position A Force is a push or a pull • Forces can create changes in motion Balanced Force • A force that produces no change in an object’s motion because it is balanced by an equal, opposite force. Unbalanced Forces Are forces that results in an object’s motion being changed. Vectors • A vector is an arrow ---------->, it has both magnitude, (length) and direction. • <---------- is the same magnitude (length) as the earlier vector, it's not the same because it's pointing in the opposition direction. • ---> is not the same as the first one because the two magnitudes are different Scalar • A scalar quantities do not include direction. They include the magnitude (length) only, and are represented by a single number. • The speed a car is driving is a scalar quantity • The speed is 64 mph Friction • A force that acts in a direction opposite to the motion of two surfaces in contact with each other. • Friction causes an object to slow down and stop. • Since the amount of energy stays constant, the energy becomes heat. Momentum Momentum is a property of a moving object that depends on the object mass and its velocity. The bigger and/or faster it is the harder it is to stop The formula for Momentum is as follows: Momentum = mass x velocity The units; kilograms x meters per second (Kg x m/s) Momentum A bullet has a large momentum because of its high velocity. ___________________________________________________________________________________________________________________________________________________________________________________________________________________________ Two trains have the same mass but different velocities. The train with the greater momentum will be more difficult to stop. ***The train on the bottom would be harder to stop** Law of Conservation of Momentum The momentum remains the same unless outside forces (like friction) act on the object The momentum lost by one object is gained by another when they collide. A ball moving at 30 m/s has a momentum of 15 kg·m/s. The mass of the ball is — A 45 kg B 15 kg C 2.0 kg Momentum = Mass x Velocity D 0.5 kg So 15 kg.m/s = M x 30 m/s solving for M it is: D WORK Work is done when a force acts on an object in the same direction that the object moves. Work • • • • • • Work: a force for a distance W=Fxd (The object must move) if work =0 then no work is done Work and Energy are measured in Joules 1 Joule=1 Newton • meter How much work is performed when a 50 kg crate is pushed 15 m with a force of 20 N? F 300 J Use the formula Work = Force x distance G 750 J H 1,000 J Force of 20 N x 15 meters = 300 Joules J 15,000 J Answer: If a force of 100 newtons was exerted on an object and no work was done, the object must have — A accelerated Work = Force x Distance rapidly Work = 0 Force = 100 N B remained so motionless 0 J = 100 N x d C decreased its distance must be 0 velocity D gained It did not move! momentum Mechanical Advantage • Man first started using machines to make work easier and faster. How much easier and faster a machine makes your work is the mechanical advantage of that machine. • Mechanical Advantage (M.A.) – the number of times a machine multiplies the effort force. Efficiency of a machine The comparison of work output to work input. It is expressed as a percent. No machine is 100% efficient. Because of friction, work output is always less than work input The diagram shows an electric motor lifting a 6 N block a distance of 3 m. The total amount of electrical energy used by the motor is 30 J. How much energy does the motor convert to heat? F 9J G 12 J H 18 J J 21 J Answer on next slide Work Output = Resistance Force x Resistance Distance Work Input = 30J done by the motor Workout = 18J = 6N x 3m The difference is lost as heat due to friction, which is 30J – 18J = 12J Answer G Machines use power • Power: the rate at which energy is used (work is done) • P=Work/time • Power is measured in H.P. or watts • 1 watt = 1 Joule 1 sec Machines One horsepower (hp) equals about 750 watts (745.56 W), the weight a strong horse could move a distance of 1 meter in 1 second. 6 Types of simple machines Some Simple Machines: • Inclined planes • Screws • Pulleys • Wheel and axle • Wedge • Levers Newton’s Three Laws of Motion Newton’s 1st Law of Motion Object in motion stays in motion Objects at rest stay at rest Until they are acted upon by unbalanced forces. Also known as inertia The mass of an object determines its inertia Newton’s 2nd Law of Motion The greater the mass or acceleration of an object, the greater the force required to change its motion. • Force = Mass X Acceleration • F=ma Newton’s 3rd Law of Motion • For every action force there is an equal and opposite reaction force. The frog leaps from its resting position at the lake’s bank onto a lily pad. If the frog has a mass of 0.5 kg and the acceleration of the leap is 3 m/s2, what is the force the frog exerts on the lake’s bank when leaping? • • • • A 0.2 N B 0.8 N C 1.5 N D 6.0 N F=ma, m is mass in kg, a is acceleration in m/s2. .5 kg x 3 m/s2= 1.5 N answer- C how fast an object is moving Speed • Speed – the distance traveled by a moving object per unit of time. • speed units: m / sec , km / hr , miles / hr Speed = Distance Time S=D T Velocity Velocity is speed with a direction • Velocity = Distance/Time • S= D/T • The units for velodity are meters per second (m/s) • Example; Bill drove west at 45mph. Velocity/Speed Graphs V = distance time • Velocity (v) is the slope (rise over run) of a position (d) vs. time (t) graph The slope of the graph is related to speed. The steeper the slope the faster the speed. Constant speed speed that does not change The graph for constant speed is a straight line. At any point on the line if you divide distance by time you get the same answer. Average Speed is the total distance divided by total time Speed that changes is not constant speed. Average speed is not the speed at any one instant. 40 The diagram represents the total travel of a teacher on a Saturday. Which part of the trip is made at the greatest average speed? FQ How do we work this one? GR Calculate v = d/t for each segment. HS J T Acceleration is a change in an objects velocity (speed or direction) • Speeding up, slowing down or turning • When an object’s speed changes over time it is accelerating (or decelerating) • A = vfinal – vinitial time • Units for acceleration m/s/s or m/s2 Circular Motion velocity is continuously changing because the direction of motion is continuously changing. An object in circular motion is accelerating even though its speed may be constant because the direction of velocity is continuously changing Centripetal acceleration Centrifuge acceleration that is directed toward the center of a circular path. Example: swinging a ball on a string in a circle. The acceleration is in the direction of the center of the circle. Velocities that are in opposite directions combine by subtraction. Suppose a boat is going upstream at 10 km / hr and the river is flowing downstream at 5 km / hr. Subtract the speed of the river from the speed of the boat. Then velocity = 10 km / hr – 5 km / hr = 5 km / hr Velocities that have the same direction combine by addition. Suppose a boat is going down a river at 10 km / hr, and the river is flowing in the same direction at 5 km / hr. Add the speed of the river to the speed of the boat. Then velocity = 10 km / hr + 5 km / hr = 15 km / hr the ability to do work The Law of Conservation of energy energy can be neither created nor destroyed. Energy can only be converted from one form to another. Einstein’s equation C = speed of light shows that mass and energy are two forms of the same thing and can be converted into each other. If a small amount of matter is destroyed, a large amount of energy is created as happens in a nuclear bomb explosion. If a large amount of energy is destroyed, a small amount of matter is created Five main forms of energy -mechanical, heat, chemical, electromagnetic, nuclear Mechanical energy -- energy associated with motion Heat energy -- the internal motion of particles of matter Chemical energy -- the energy that bonds atoms or ions together. Electromagnetic energy – moving electrical charges Examples: electricity, light, X-rays, radiowaves, laser light Nuclear energy – energy in the nucleus of the atom. Released during nuclear fission (splitting) or nuclear fusion (combining). Example: sun’s energy Heat energy to electricity Energy Is defined as the ability to do Work Energy has Two Types: -Kinetic (Energy of Motion) - Potential (Stored Energy) Exogonic - more energy is given off than is used to start Endogonic reaction absorbs energy and causes cooling Energy Conversions Changes from one form of energy to another. Examples of conversions between kinetic and potential energy: Example: a swinging pendulum, ball thown in the air A falling object speeds up as it falls to the ground; PE decreases as KE increases, KE decreases as PE increases the KE at impact with the ground is equal to the PE it had before it fell Potential Energy – stored energy PE = mgh 41 What is the potential energy of the rock? A 59,900 joules B 64,600 joules C 93,100 joules D 121,600 joules m = 95 kg g = 9.8 m/s2 h = 100 m 95 kg x 9.8 m/s2 x 100 = 93,100 joules C Kinetic Energy- moving energy A moving car has the ability to do work on the light pole if it hits it. KE = ½ m v 2 Gravity a natural phenomenon by which physical bodies attract with a force proportional to their mass. Universal Law of Gravitation Gravity varies depending on two factors 1) the mass of the object : doing the pulling, and 2) the distance from the center of that object On Earth gravity = 9.8 m/s/s For every second that an object falls its speed increases by 9.8 m/s all objects dropped from the same height will land at the same time Weight= Mass (m) X gravity (g) Weight is due to gravity • Weight Unit of mass = kg • Unit of acceleration = m/s/s • Unit of weight = Newton • 1 Newton= about ¼ pound Electricity Flow of electrons that provide power to your home Electrical Energy - Electricity • Electrical Energy - Moving electrons in a path is electricity Electric Current (I) • The flow of electric charges • This charge is carried by moving electrons in a conductor such as wire • measured in Amperes electricity flows • electricity flows from the positive (+) terminal of a battery to the negative (-) terminal of the battery Volt - Electrical Potential Difference • The positive terminal of the battery has an electric potential that is equal to the voltage rating of the battery. Resistance (R) • Resistance is a measure of how much an object opposes the passage of electrons. • The unit of electrical resistance is the ohm Volt V=IR V- volt, I- current, R-resistance • What is the current in a copper wire that has a resistance of 2 ohms and is connected to a 9 volt electrical source? A. 0.22 amp V- volt, I- current, R-resistance B. 4.5 amps V = I R so, C. 11.0 amps 9V = I x 2 ohms or 4.5 amps D. 18.0 amps Series circuits • are the most simple. • One path for the current to travel. • Contains an energy source, a path, and a load (like a lamp) Parallel circuits • provide more than one path for the current to travel. • Most circuits are parallel, since if one lamp goes out, the others can stay lit. Notice the symbols used 6. Which switches, if opened, will cause the light bulb to stop glowing? F. Q G. R H. S J. T Q It is the only switch in series to both the battery and light. Static electricity • the build-up of electrical charge on the surface of objects. The static charges remain on an object until it is quickly neutralized by a discharge Heat is energy When you add heat to a substance, you are adding energy. • When heat (energy) goes into a substance one of two things can happen: • 1. The substance can experience a rise in temperature- an increase in the kinetic energy of the molecules.. • 2. The substance can change state. Thermal Energy - Heat A body contains internal KE due to the motion of its atoms (they are constantly wiggling and jiggling) Thermal Energy is the total internal KE of a body Temperature a measure of the average kinetic (moving) energy of molecules. Adding heat to something increases –. its temperature Heat is not temperature Temperature scales Fahrenheit - the freezing of water to ice is 32 degrees, boiling point of water is 212 degrees Celsius (°C )– metric unit -the boiling point of water (100 °C) freezing point of water (0 °C) Kelvin ( K ) – another metric unit of temperature based on absolute zero, the lowest possible temperature Calorie – a unit of heat. • Calorie – a unit of heat. • The amount of heat needed to raise the temperature of one gram of liquid water one degree Celsius. • 20 calories will raise the temp. of 1 g of water by 20 °C. • 20 calories will raise the temp. of 10 g of water by 2 °C. • The amount of heat needed depends on the mass. Heat transfer - Movement of heat from a warmer object to a colder one, by conduction, convection, or radiation. Warmer molecules move faster than cooler ones. When warmer molecules collide with cooler ones, energy is transferred. Heat Transfer of Thermal Energy 1. Conduction-direct contact (Usually Solids) 2. Convection- heating by circulating fluids 3. Radiation – Transfer of Electromagnetic (E.M.) Energy The primary way liquids and gases transmit heat is by the process of — J Fluid heat movement is F reflection convection. G conduction Fluid motion occurs in liquids and gases. H radiation J convection Phase change Phase change– the physical change of matter from one state (Solid, liquid, or gas) to another. Melting – solid to liquid Freezing – liquid to solid Vaporization – liquid to gas Condensation – gas to liquid Sublimation - solid to gas Deposition - gas to solid Heat convection occurs in gases and liquids. Heat convection does not occur in solids because solids are unable to — A absorb heat by vibrating B transfer heat by fluid motion C emit radiation by reflecting light D exchange heat by direct contact B - Heat moves by conduction in solids since the particles are close together and vibrate. . Heat Formula Heat gained or lost = Mass x change ( ) in temperature(T) x specific heat (SH) H = m x T x SH • Example: H = 4g x 5°C x 0.22cal / g x °C = 4.4cal WAVES Waves: How energy moves • Waves - traveling disturbances that carry energy from one place to another. • They can move through matter but do not carry matter with them. • Waves get their energy from a source of repeated motion called a vibration. • Examples: ocean waves, waves on a rope, sound waves, microwaves Some wave types require a medium through which they are transmitted. Water is a medium for ocean waves. Air is a medium for sound waves. All phases of matter (solid, liquid, or gas) can act as a medium. Waves that require a medium are called mechanical waves electromagnetic waves. • Other waves do not require a medium. They can be transmitted through a vacuum. (space) • Instead of matter these waves disturb electric and magnetic fields. • Examples include radio waves, visible light, infrared, ultraviolet, microwaves, and X-rays. Waves - 2 Types Transverse Waves • In Transverse Waves particles vibrate at right angles to the direction the wave travels. • E. M. Waves, rope coil, ocean waves Longitudinal or Compression Waves Vibrating particles move back and forth along the direction of the wave velocity Parts consist of compressions and rarefactions Ex. Sound Waves At 0°C sound travels through air at a speed of 330 m/s. If a sound wave is produced with a wavelength of 0.10 m, what is the wave’s frequency? F 0.0033 Hz G 33 Hz H 330 Hz J 3300 Hz Velocity = f λ OR 330 m/s = f x 0.10 m And the answer is? J 3300 Hz Sound acts like other waves • Echoes are reflected sound waves • Sonar uses echoes to judge distance to obstructions • Human hearing is 20-20,000 Hz, below 10 Hz is infrasonic, and above 20,000 Hz is ultrasonic. the Doppler effect • Heard an ambulance go? Remember how the siren's pitch changed as the vehicle raced towards, then away from you? First the pitch became higher, then lower resonance when two things vibrate with same frequency, Interference of Waves • when two waves collide Constructive / destructive interference Constructive • Waves add together to make a bigger wave Destructive • Waves cancel each other out Standing Wave • A stationary wave – is a wave that remains in a constant position Standing waves- Nodes and Antinodes • Areas on a standing wave that appear to stand still One tuning fork is struck and placed next to an identical fork. The two forks do not touch. The second tuning fork starts to vibrate because of — F interference G the Doppler effect H resonance J standing waves Resonance is the vibration of another object struck by a wave of the correct frequency. Since the forks are identical, the second one receives the correct frequency to begin vibrating Electromagnetic Radiation Electromagnetic Spectrum Is a name that scientists give a bunch of types of radiation when they want to talk about them as a group. Radiation is energy that travels and spreads out as it goes -visible light that comes from a lamp in your house -radio waves that come from a radio station - Infrared and Ultraviolet light, X-rays and Gamma Rays . Speed of light • All radiant energy travels at 3.0 x 108 m/sec in space Reflection • Reflection involves a change in direction of waves when they bounce off a barrier. Refraction Refraction- waves change direction when going thru media of different densities Diffraction • Diffraction is the slight bending of light as it passes around the edge of an object. Visual Spectrum • The part of the electromagnetic spectrum we can see as color Color is refection of light • White is the reflection of all colors • Color a reflection of one wave length • Black is the absorption of all color Lens Reduces size and flips them over – your eyes Magnifiesmagnifying glass