What is the acceleration of an object on a frictionless ramp?
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A ramp that is tilted at an angle of θ. What is the magnitude of the normal force for an object on the ramp?
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A mass M is on a frictionless table. It is connected to a hanging mass by a string over a massless, frictionless pulley. The tension in the rope is equal to, greater than, or less than the weight of the dropping mass.
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A object swings on a rope. At the bottom of its swing it has a velocity of v. What is the tension in the rope at the bottom?
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A pendulum of length ℓ swings to a maximum angle, θ. How high does it swing from its lowest position?
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Given d2x/dt2 = −Cx. What is true of this object's motion?
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Given d2x/dt2 = −Cx. What is its angular frequency, ω?
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What equation equates frequency and angular frequency?
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An object of mass m is moving in a circle of radius R at constant speed, v. It is held in the circle by a rope that has a tension of T. How much work is done by the rope in one circle?
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Of the following forces, which ones are conservative? Friction, gravity, a spring, you pushing on an object. (10)
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Two objects push off of each other. What major concept should you use to solve this problem and why?
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Two objects collide with each other. What major concept should you use to solve this problem and why?
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An object moves between two positions. Only conservative forces act on the object. What major concept should you use to solve this problem?
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Two objects are at rest while on a frictionless surface. They push off of each other. The heavier object moves to the right. The center of mass of the two object system moves which direction?
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When can you use the kinematic equations? (15)
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An object moves with a velocity of v. It enters a region where the force on the object is in a constant direction. What major concept should you use to solve this problem?
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What does net work always equal?
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The force acting on an object becomes more perpendicular to the object’s displacement over time. How does the power delivered to the object change over time?
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Define impulse.
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When must you use the integral form of work?
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What is a differential equation?
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A graph has force on the y-axis and displacement on the x-axis. What does the area of this graph give?
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A graph has force on the y-axis and time on the x-axis. What does the area of this graph give?
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What happens when a net external force acts on an object?
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What happens when a net external force acts on a system of objects?
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What happens when a force acts on an object, but not at its center-of-mass?
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When can you use Conservation of Angular Momentum?
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Two objects push off of each other. One object is more massive than the other. Which one has more momentum afterwards?
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Two objects push off of each other. One object is more massive than the other. Which one has more kinetic energy afterwards?
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Two objects push off of each other. One object is more massive than the other. Which one exerts the greater force on the other?
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A conservative force does 16 J of work on an object. If only this force has acted on the object, what is its change of potential energy?
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An object moving with constant speed experiences a force that is always perpendicular to its motion. Describe its path.
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Give three ways to calculate power.
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Two identical objects collide elastically. One is initially at rest. Their final trajectories must form either of what two angles?
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When does vt = rω or at = rα?
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When does vcm = rω and acm = rα? (36)
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A satellite moves from apogee to perigee. What concept would you use to calculate its new velocity?
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Which quantities affect the period of a simple pendulum?
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The amplitude of oscillation doubles for a spring. By how much does the total energy change?
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At a given moment in time an object has a velocity of zero. What is its acceleration?
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An object in static equilibrium has a net torque of zero when measured about its center of mass. When measured at a point away from the center of mass the net torque will increase, decrease, or remain zero?
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A mass of M is on a table with coefficient of static friction, μs. M is attached via a rope and frictionless pulley to a hanging mass, m. If it is not moving, what is the force of static friction on M.
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Two satellites of different masses are in the same orbit around a planet. Which one has the fastest period around the planet?
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Two rockets of differing mass are launched from a planet. Which one requires the greater velocity to escape the planet?
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Two rockets of differing mass are launched from a planet. Which one requires the greater kinetic energy to escape the planet?
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Two satellites of different masses are in the same orbit around a planet. Which one has the most gravitational potential energy?
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A satellite is in a circular orbit around a planet, M. Give two expressions for the satellite’s acceleration.
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An object is launched at an angle of θ near the surface of the earth. At its top most position, what is it’s velocity?
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A pendulum is swinging back and forth. After it passes its lowest position, what force propels it back up?
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Two stars of equal mass are rotating about their common center of mass. What distance is R in the following formulas: mv2/Rc and Gmm/Rg2?
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An disk is suspended from its center of mass so that it can rotate freely. A mass is attached to the rim of the disk, as shown above. As the mass falls, how does the net force and net torque on the disk change?
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Give two expressions for the normal force acting on the above mass.
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What is the moment of inertia of the disc when pivoted at its edge?
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Four objects are at the top of equal ramps. If all objects roll without slipping, which object will get to the bottom of the ramp first and why? (54)
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Four objects are at the top of equal ramps. If all four ramps are frictionless, which object will get to the bottom of the ramp first and why?
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An object bounces elastically off of a wall. Its final speed is the same as its initial speed. Give the following: The magnitude of the change of speed. The change of the magnitudes of the momentum. The magnitude of the change of momentum.