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AP Physics 1 β Review of Major Concepts **This document is intended to help you begin reviewing for both the AP Physics Midterm Exam and the AP Physics 1 test. It is NOT all-inclusive, and so it should not be the only resource you use to study for either exam.** AP Physics 1 Midterm β 40 points total Friday, January 8th (in class): 2 Free Response Questions Monday, January 11th (during testing): 26 Multiple Choice Questions 14 points 26 points Unit 1 β Kinematics Summary: The entire goal of motion analysis is to describe, calculate, and predict where an object is, how fast itβs moving, and how much its speed is changing. Vocabulary: position, displacement, speed, velocity, acceleration, free fall, projectile Equations: π£π = π£0 + ππ‘ 1 βπ₯ = π£0 π‘ + 2 ππ‘ 2 π£π 2 = π£0 2 + 2πβπ₯ (All on AP sheet) Key Ideas ο· In a position-vs-time graph, the objectβs position is read from the vertical axis, and the objectβs velocity is the slope of the graph. The steeper the slope, the faster the object moves. Positive slope means the object is moving in the positive direction, and negative slope means the object is moving in the negative direction. ο· In a velocity-vs-time graph, the objectβs velocity is read from the vertical axis, and the objectβs acceleration is the slope of the graph. The objectβs displacement is given by the area under the curve. The location of the object canβt be determined, only how far it moved. ο· Common Pitfall: Acceleration is different than velocity. The +/- for acceleration doesnβt say anything about which way something is moving, unless you know whether it is speeding up or slowing down. (Ex: negative acceleration can mean slowing down in the positive direction or speeding up in the negative direction) ο· The five motion variables are initial velocity, final velocity, displacement, acceleration, and time. If you know any 3 of these variables, you can use the kinematic equations to solve for the others. ο· When an object is in free fall, its acceleration is about 10 m/s2 towards the ground. βFree fallβ means no other forces other than gravity are acting on the object. ο· A projectile has no horizontal acceleration and so moves at constant speed horizontally. A projectile is in free fall, so its vertical acceleration is about -10 m/s2. ο· To find the vertical component of a velocity at an angle, multiply the speed by the sine of the angle. To find the horizontal component, use cosine. This works as long as the angle is measured from the horizontal (as usual). ο· Time is the bridge between horizontal and vertical parts of projectile motion. ο· Common Pitfall: For horizontally launched projectiles, the height is the only thing that determines the time the object takes to fall. (Remember the bullet fired vs. dropped Mythbusters?) Both height and initial speed control the range of the projectile. Unit 2 β Dynamics Summary: A force is a push or pull applied by one object on another object. Vocabulary: force, net force, weight, friction, static friction, kinetic friction, normal force, coefficient of friction, Newtonβs Laws (1st β inertia, 2nd β acceleration, 3rd β action/reaction), centripetal acceleration, centripetal force Equations: π = πΉπππ‘ π πΉπ = ππΉπ ππ = π£2 π (on AP Sheet) You may also want to use weight = mg Key Ideas: ο· When drawing a free-body diagram, remember that only gravitational and electrical forces act without contact. Surfaces exert 2 forces on objects β normal forces are perpendicular and friction forces are parallel to the surface. Friction is a resistive force, so it always points opposite the motion. ο· When an object moves along a surface, the acceleration in a direction perpendicular to that surface must be zero. Therefore, the net force perpendicular to the surface is also 0. (Ex: for horizontal motion, the upward and downward forces must balance out) ο· Common Pitfall: Static friction is a maximum amount of force that must be overcome to get an object to start moving. So, if you are drawing a free-body diagram of a situation where the force is not great enough to overcome static friction, you should make the static friction force equal to the push or pull. ο· Newtonβs 3rd law states that the force of Object A on Object B is equal in amount and opposite in direction to the force of Object B on Object A. The accelerations that the objects will experience due to these forces are not necessarily equal. ο· If the net force has both a vertical and horizontal component, use the Pythagorean Theorem to determine the magnitude of the net force, and use inverse tangent to find the direction. ο· When a force at an angle measured from the horizontal, the vertical component is the amount of force times the sine of the angle, and the horizontal component is the amount of force time the cosine of the angle. ο· Newtonβs 2nd law states that net force acting on an object is equal to the objectβs mass times its acceleration. Be sure to consider net force. ο· On an inclined plane at an angle, break the weight into its components. The parallel component is equal to the weight times the sine of the angle. The perpendicular component is weight times the cosine of the angle. ο· When an object moves in a circle, it has centripetal acceleration directed toward the center of the circle. The force that keeps an object moving in a circle is also directed towards the center of the circle, and it is called centripetal force. Unit 3 β Gravitation Summary: The force on an object due to gravity is mg, where m is mass and g is the gravitational field. The gravitational field produced by an object depends on the mass of the object and the distance from the objectβs center. Vocabulary: gravitational field, gravitational force, gravitation constant (G), free-fall acceleration (AKA acceleration due to gravity), gravitational and inertial mass. Equations: πΉπ = πΊ π1 π2 π2 (on AP Sheet) You can solve for gravitational field g by dividing both sides by m, so π that you have the equation π = πΊ π2 . We also set the gravitational force equal to centripetal force to find the πΊπ . π equation for orbital speed π£ = β Key Ideas ο· The amount of gravitational field depends on 2 things: the mass of the planet creating the field (M) and the distance you are from that planetβs center (r). ο· The weight of an object β that is, the gravitational force of a planet on that object β is given by mg. ο· Any two object exert gravitational forces (although sometimes miniscule ones) on each other. The gravitational force between two objects is given by the equation for Fg above. ο· Gravitational mass indicates how an object responds to a gravitational field. Inertial mass indicates how an object accelerates in response to a new force. In every experiment ever conducted, an objectβs gravitational mass is equal to its inertial mass. Unit 4 β Work, Energy, and Power Summary: An object possesses kinetic energy by moving. Interactions with other objects can create potential energy. Work is done when a force acts over a distance parallel to that force. When work is done on an object (or system of objects), kinetic energy can change. Vocabulary: kinetic energy, gravitational potential energy, mechanical energy, work, power 1 Equations: πΎ = 2 ππ£ 2 βπΈ = π = πΉπ cos π π= βπΈ π‘ βππ = ππβπ¦ (on AP Sheet) th The 4 equation is for gravitational potential energy, but looks slightly different than how we learned it. Key Ideas: ο· Work is done when a force is exerted on an object and that object moves parallel to the direction of the force. When force is directed in the same direction as the objectβs motion, the work done is positive, and when the force is exerted in the opposite direction (such as resistive forces) the work is negative. ο· To lift an object to a greater height at a constant speed, the work done is calculated by W=Fd = mgd since the force would be equal to the weight. As you lift something, you are doing positive work on the object, while gravity is doing negative work. ο· A βconservativeβ force convert potential energy to other forms of mechanical energy when it does work. Thus, a conservative force does not change the energy of a system. Gravity is an example of a conservative force. ο· A βnonconservativeβ force can change the mechanical energy of a system. Friction is an example of a nonconservative force that decreases the mechanical energy of a system. The propeller of an airplane could provide a nonconservative force that would increase the mechanical energy of the system. ο· ο· The work-energy theorem can be stated in many different ways. One useful way to look at it might be πππ = βπΎπΈ + βππΈ. If mechanical energy is conserved, then this means that as kinetic energy goes up, potential energy must go down by the same amount (and vice versa) to balance out to 0. If there are nonconservative forces, they must equal the balance of the change in mechanical energy. Power = work/time. If two students are climbing the same set of stairs, their power will depend on their masses (since they are lifting themselves to a higher height) and the time it takes them to climb the stairs. Unit 5 β Impulse and Momentum Summary: Whenever you see a collision, the techniques of impulse and momentum are likely to be useful in describing or predicting the result of the collision. In particular, momentum is conserved in all collisions β this means that the total momentum of all objects is the same before and after the collision. When an object (or a system of objects) experiences a net force, the impulse momentum theorem can be used for predictions and calculations. Vocabulary: momentum, impulse, system, elastic collision, inelastic collision, explosion, center of mass Equations: π = ππ£ βπ = πΉβπ‘ (on AP Sheet) You may also want to combine these into πβπ£ = πΉβπ‘. We also used 2 equations for collisions (π1 π£10 + π2 π£20 = π1 π£1π + π2 π£2π and π1 π£10 + π2 π£20 = ππ‘ππ‘ππ π£π ) and one for explosions (ππ‘ππ‘ππ π£0 = π1 π£1π + π2 π£2π ) but these are all just conservation of momentum in algebraic form. Key Ideas: ο· In any system in which the only force acting are between objects in that system, momentum is conserved. This effectively means that momentum is conserved in all collisions. ο· In elastic collisions, kinetic energy is conserved, as well as momentum. ο· The center of mass of a system of objects obeys Newtonβs second law. So if no external forces act on colliding objects, the center of mass must stay at rest.