* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Download Motion Notes
Modified Newtonian dynamics wikipedia , lookup
Jerk (physics) wikipedia , lookup
Coriolis force wikipedia , lookup
Classical mechanics wikipedia , lookup
Seismometer wikipedia , lookup
Newton's theorem of revolving orbits wikipedia , lookup
Rigid body dynamics wikipedia , lookup
Equations of motion wikipedia , lookup
Fictitious force wikipedia , lookup
Hunting oscillation wikipedia , lookup
Centrifugal force wikipedia , lookup
Mass versus weight wikipedia , lookup
Classical central-force problem wikipedia , lookup
Page 41 Motion What is motion and how can I determine if motion has occurred? What is the difference between distance and displacement? Motion is the change in position or condition of an object. A point of reference is an object that appears to remain at rest in relation to an object that is in motion. Examples – building, street, traffic signal. There are two types of quantities that are used to describe motion: vector and scalar. Vectors are quantities that are described by both a magnitude and a direction. Scalars are quantities described only by a magnitude. On page 40 of your INB, make two columns and categorize the following descriptions as scalar or vector: 3 feet 2 miles 43 miles west 27 inches north 78 meters northwest Scalar 187 meters east 16 feet 1 foot Vector Page 43 Distance is how much ground an object has covered during its motion (for example 20 meters) Displacement is how far out of place an object is, or the object’s change in position (for example, 8 meters south east) 10m 5m START 15m 8m 20m END On top half of page of your INB, write the directions from this class to the cafeteria . On bottom half of page of your INB, write the directions from your home to school using appropriate points of reference: Page 45 Speed is the rate that an object moves. (How fast something moves). It is scalar quantity. Speed is measured in meters per second (m/s), kilometers per hour (km/hr) and miles per hour (mph) There are two types of speed: instantaneous and average. Instantaneous speed is the speed in that particular moment (in a car) Average speed is the speed of a total distance divided by the total time it takes to travel the distance. Average speed is calculated using the formula: Speed = distance traveled time of travel Page 47 Velocity is the rate that an object changes its position. It is a vector quantity. Velocity is measured in meters per second (m/s), Kilometers per hour (km/hr) and miles per hour (mph) with a direction. For example: 40 m/s west Velocity is useful for airplanes, helicopters and boats. Velocity is calculated by dividing the amount of displacement by the time it takes to travel the distance. Velocity = displacement / time of travel SPEED AND VELOCITY ARE NOT THE SAME On page of your INB, make two columns and categorize the following descriptions as speed or velocity: car moving at 35mph bird flying at 40mph north jogger running at 10m/s jogger running at 10m/s south a vehicle racing at 125mph Speed Velocity Page S8P3a. Motion What is the relationship between velocity and acceleration? Acceleration is the rate at which an object’s velocity changes. There are 3 ways that acceleration can occur: 1. speeding up (acceleration or positive acceleration) 2. slowing down (deceleration or negative acceleration) 3. Changing direction Acceleration is expressed in units like meters per second squared (m/s2) The formula for calculating acceleration is: Average acceleration= final velocity-initial velocity time Summary On the top half of pg. of your Science NoteBook Identify which is an example of acceleration and which is not: Acceleration Not Acceleration A train traveling 65 miles per hour north A boat sailing west at 5 knots A person jogging at 3 meters/second along a curved path A car stopped at a stop light A car stopping at a stop light A truck speeding up from 55mph to 75mph A person jogging at a constant speed along a straight path Page S8P3a. Graphing Motion How can motion be visually represented through graphs? Graphing is a way to represent the motion of objects. They are useful to see trends, understand past movements and to predict future movements. When plotting motion, time is always plotted on the X-axis (bottom of the graph). The further to the right on the axis, the longer the time from the start. Distance or speed (depending on the graph) is plotted on the Y-axis (side of the graph). Page 51 Graphing is a way to represent the motion of objects. They are useful to see trends, understand past movements and to predict future movements. When plotting motion, time is always plotted on the X-axis (bottom of the graph). The further to the right on the axis, the longer the time from the start. Distance or speed (depending on the graph) is plotted on the Y-axis (side of the graph). For Distance-Time Graphs: •The steeper the graph, the faster the motion. •A horizontal line means the object is not moving. It is stationary.. •A curved line means the speed is changing by speeding up or slowing down. A steeper line indicates a larger distance moved in a given time. In other words, higher speed. Both lines are straight, so both speeds are constant. Time is increasing to the right, but its distance does not change. It is not moving. We say it is At Rest. The line on this graph is curving upwards. This shows an increase in speed, since the line is getting steeper: Page For Speed-Time Graphs: •The steeper the graph, the greater the acceleration. •A horizontal line means the object is moving at a constant speed •A downward (negative) sloping line means the object is slowing down (decelerating). Both the dashed and solid line show increasing speed. Both lines reach the same top speed, but the solid one takes longer. The dashed line shows a greater acceleration. A straight horizontal line on a speed-time graph means that speed is constant. It is not changing over time. A straight line does not mean that the object is not moving! This graph shows decreasing speed. The moving object is decelerating. Page 49 A force is a push or pull on an object. There are many different types of forces in nature that act on objects. They include: gravity, friction and inertia. Gravity is an attractive force that works to pull objects together. The law of universal gravitation states that a force of gravity acts between all objects in the universe. There are two factors that affect the force of gravity between objects: 1. the objects’ masses (mass is the amount of matter in an object). and 2. the distance between them. Page 49 The larger the mass, the more the gravitational attraction. For example, the sun has a greater ability to “pull” objects towards it than Mars because of its mass. The shorter the distance between the objects, the more the gravitational attraction. The Earth and Mars have more attraction than the Earth and Venus. Inertia is the tendency of an object to resist a change in motion. Mass affects inertia. An object with a large mass has more inertia than an object with a small mass. On page Draw/write the following 3 questions and determine which has a greater gravitational “pull” and WHY. 1. 25kg 3. 25kg 25kg 35kg 25kg 2. 25kg Set A (red) 25kg Set B (green) 5kg The force that brings nearly everything to a stop is called friction. Page 51 Friction is the force that opposes the motion of an object. This contact force acts whenever an object in motion rubs against a surface. Friction opposes motion when two surfaces touch. The contact reduces the speed of the moving object and releases heat. There are 3 types of friction: sliding friction, rolling friction and static friction Sliding friction is friction that slows down an object that slides. Example: brake pads on a bicycle that rub against the wheel Static friction is friction that acts on an object at rest. Example: trying to move a refrigerator Rolling friction is friction that acts when an object rolls across a surface. Example: rolling a cart around All motion is due to forces acting on objects. Force is a vector quantity and is measured in a unit called Newtons (N). Page 53 The net force is a total combination (sum) of all forces acting on an object. A balanced force is one in which the net forces equal zero. The motion does not change. An unbalanced force has a net force greater than zero. Only an unbalanced force can change the motion of an object. An unbalanced force acting on an object at rest will cause it to move. Page 53 An unbalanced force that acts on an object already in motion can change the speed OR direction of an object. Unbalanced forces can act in the same direction or in opposite directions. If forces are in the same direction, you add them. If forces are acting in the opposite direction, you subtract them. 5N 3N Net force = 8N east 5N 5N 9N Net force = 4N west 5N Net force = 0N On page 50 Draw an illustration of friction in action. Your illustration must be neat and colored. You must identify the two surfaces that are interacting and what is occurring in order for it to be friction. You must also identify the type of friction. On pg.52 of your Science INB Draw the figures below and calculate the net force. Remember to include the direction of motion. 6N 4N 1N 9N 10N 2N 6N 4N 2N 5N 5N 8N 8N 7N 9N 5N 5N 9N 5N 5N 5N 5N 1N 4N 5N Question 1 • What happens to the motion of an object when the forces are balanced? – A. The motion changes. – B. The motion does not change. – C. The motion speeds up. – D. The motion slows down. On pg.78 of your Science INB During the game of tug-of-war What happens when the two teams pull with equal force? What type of forces are these called? How would you represent this with force arrows? Illustrate and color. What happens when one team pulls with a greater force? What type of forces are these called? How would you represent this with force arrows? Illustrate and color. Make an Inference: What would have happened if the game has been played on ice? Question 2 • What happens to an object if the forces acting upon it are unbalanced? – A. Its motion will not change. – B. The motion will come to a stop. – C. The net force will be zero. – D. Its motion will change. Top of page 82 Earth Moon Actual Orbit Gravity and inertia work together to keep the Moon orbiting Earth. First, the Moon’s inertia pushes it to travel continuously in a straight line. At the same time, Earth’s gravity is pulling the Moon toward Earth. These combined forces cause the Moon to move in a curved path (orbit) around Earth. Without gravity, the Moon would fly off into space. The Moon is able to continuously orbit Earth because the Moon’s inertia and the Earth’s gravity are balanced. Question 3 • What happens to an object moving in the same direction as the net force? – A. It will speed up. – B. Its motion will not change. – C. It will stop moving. – D. It will slow down. Question 4 • Which pair of objects will have the greatest gravitational attraction to each other? – A. two cinder blocks 6 centimeters apart – B. two marbles 12 centimeters apart – C. a cinder block and marble 6 centimeters apart – D. a cinder block and marble 12 centimeters apart Page 5 S8P3b. Laws of Motion Since gravity works to pull objects toward each other, what keeps the planets from crashing into the Sun? Newton’s first law of motion states that an object at rest will stay at rest, and an object in motion will continue in motion in a straight line at the same speed (same velocity) unless an unbalanced force acts on the object. This law is sometimes called the Law of Inertia. This means if the net force acting on an object is zero, the object remains at rest, or if the object is already moving, continues to move in a straight line with constant speed. Page 7 S8P3b. Newton’s laws What is the relationship between force, mass and acceleration? Newton’s second law of motion states that the acceleration of an object depends on the mass of the object and the amount of force applied. Example: It takes more force to accelerate a full grocery cart than an empty grocery cart. OR To use the same magnitude of force, you could take the groceries out of the full cart (decrease the mass) to make the masses equal. This law can be expressed mathematically with: Force = mass x acceleration (newton) = (kilogram) x (meters/second2) The acceleration of a falling object is 9.8m/s2 Top of page 6 – 1st period How much force is needed to accelerate a 2 kilogramobject at a rate of 2 m/s2? What is the mass of an object that requires a force of 30N to accelerate at a rate of 5 m/s2? Calculate the acceleration of a 6.4kg bowling ball if a force of 12N is applied to it. page 8 How much force is needed to accelerate an 8 kilogramobject at a rate of 2 m/s2? Top of page 6 3rd, 4th and 5th periods How much force is needed to accelerate an 8 kilogramobject at a rate of 2 m/s2? Top of page 6 3rd, 4th and 5th periods How much force is needed to accelerate an 8 kilogramobject at a rate of 2 m/s2? What is the mass of an object that requires a force of 30N to accelerate at a rate of 5 m/s2? Top of page 8 How much force is needed to accelerate an 8 kilogramobject at a rate of 2 m/s2? What is the mass of an object that requires a force of 30N to accelerate at a rate of 5 m/s2? Calculate the acceleration of a 6.4kg bowling ball if a force of 12N is applied to it. Top of page 6 6th period Newton’s Second Law & Air Resistance • Air Resistance • The force of air exerted on a falling object • Fluid Friction • The air pushes up as gravity pulls down • Depends on shape, size, and surface area of the falling object • Terminal Velocity • The highest velocity a falling object will reach • An object reaches its terminal velocity when the force of air resistance = the force of gravity Bottom of page 6 Write the question and answer: Name two ways to increase the acceleration of an object. 1. 2. What force is necessary to accelerate a 1,250kg car at a rate of 40m/s2? Page 9 When a person pushes on a wall, the wall pushes back. How does this relate to Newton’s 3rd law? Newton’s third law of motion states that for every action there is an opposite and equal reaction. Forces act in equal and opposite pairs. Example: pushing on a wall, a rocket launching, diving off the side of a pool. • A bowling ball hits the pins sending the pins flying for a STRIKE! • In a plane taking off you feel pushed back into your seat (1st Law or 3rd Law) • An object at rest stays at rest unless acted on by an outside force • An object in motion stays in motion unless acted on by an outside force • Seatbelt stops you from hitting the windshield if you hit the brakes quickly • A soccer ball will not move until a player kicks it • Someone crashes their bike into a rock & is thrown over it to the ground • 12 lb bowling ball goes faster down the lane than a 15 lb bowling ball • A boy can throw a football farther than his friend because he uses more force • Force = mass times acceleration • It takes less force to move a DVD than a DVD player • It takes less force to push a bike than a motorcycle • More force = more acceleration • Push a large box & a small box with the same force, the small box will go faster • You have to push a heavy ball harder to get it to move as fast as a small one • Feet push down on the floor & the floor pushes up at feet as you walk • A fireman turns on his hose & is knocked backwards • For every action there is an = and opposite reaction • If air is let out of a balloon quickly, air pushes down & balloon goes up • In a plane taking off you feel pushed back into your seat (1st Law or 3rd Law) • When you push on a door it pushes back with = and opposite force Page 11 S8P3c. What is work? Work is the transfer of energy to an object. In science, work is done when a force causes an object to move in the direction of the force. Applying forces does not always result in work. Work requires two things: •a force applied to an object •the object must move in the direction of the force. Example of work: pushing a lawnmower Example of NO WORK: carrying a bag of groceries to the car. The equation for work is: Work = Force x Distance (Joule) = (Newton) x (Meters) The unit for work is the Joule (J). 1 Newton Meter = 1 Joule Page 13 What is Power? Power is the rate at which energy is transferred to an object. (The rate that work is done.) Power can be calculated using the formula Power = Work (Watt)=(Joule) time second The unit of measure for Power is the Watt (W). 1 Watt = 1Joule/second Practice Question: A set of pulleys is used to lift a piano weighing 1,000 newtons. The piano is lifted 3 meters in 60 seconds. How much power is used? Page 10 A book with a force of 1.0 Newtons is lifted 2 meters. How much work was done? A force of 15 Newtons is used to push a box along the floor a distance of 3 meters. How much work was done? It took 500 Newtons of force to push a car 4 meters. How much work was done? Page 15 S8P3c. What are simple machines and how do they make work easier? A simple machine is a device that makes work easier by 1. changing the size of a force OR 2. changing the direction of a force. The six simple machines are: Pulley, Inclined plane, Wedge, Wheel and Axle, Screw, and Lever •When you use a machine, you do work (work input) on the machine and the machine does the work (work output) on something else. The “work output” can never be more than the “work input”. It will always be the equal. •The input force may be less than the output force. Page 90 An inclined plane is a straight, slanted surface. They make work easier because it is easier to push an object up a ramp than to lift the same object straight up to the same height. Ex. a ramp Page 90 A wedge is an inclined plane that is wider or thicker at one end than at the other. A wedge makes work easier because when moved, a wedge is used to cut, split, or pry apart objects. Ex. knife blade or axe. Page 90 A screw is an inclined plane that is wrapped around a cylinder. When a screw is turned, a small force is applied over the long distance of the screw’s threads. Page 91 A lever is a simple machine that consists of a bar that pivots at a fixed point called a fulcrum. The force applied to a lever is called the effort. The object being moved is called a load. There are three classes of levers: 1st class, 2nd class and 3rd class. Page 92 A wheel and axle is a simple machine that consists of a shaft called the axle, inside the middle of a wheel. Ex. bicycle wheel Any force that is applied to the wheel gets transferred to the axle and vice versa. When force is applied to the wheel, the difference in size between the wheel and axle causes the force to increase as it is transferred to the axle. page 93 A pulley is a rope or chain wrapped around a wheel. A load is attached to one end of the rope. A force is applied to the other end of the rope. There are 2 kinds of pulleys: fixed and movable. A fixed pulley is one that does not move. They are often used to lift something. A fixed pulley changes the direction of force, but does not reduce the amount of force needed to lift the load. On page 17 Mechanical advantage is the number of times the input force is multiplied by a machine. Mechanical advantage = output force (Newtons) input force (Newtons) Efficiency is a measure of how well a machine does work. Efficiency = output work (joules) X 100% input work (joules) On pages 94 A man expends 100 Joules of work to move a box up an inclined plane. The amount of work produced is 80 Joules. What is the efficiency? A box with a force of 100 Newtons is pushed up an inclined plane that is 5 meters long. It takes a force of 75 Newtons to push it to the top, which has a height of 3 meters. What is the efficiency of the machine. MOMENTUM On page 94 Momentum = mass x velocity A 10,000kg train is traveling east at 15 m/s. Calculate the momentum of the train. What is the momentum of a car with a mass of 900kg traveling north at 27m/s Page A movable pulley is a pulley that moves. One end of the rope is tied to a stationary object and the other is free for you to pull on. The load is attached directly to the pulley. The pulley moves along the rope as the free end is pulled. They reduce the amount of force needed to move an object, but you must pull the rope farther. page A block and tackle is a system (combination) of pulleys.