A satellite is in a circular orbit around a planet, M. Give two expressions for the satellite’s acceleration.

Two rockets of differing mass are launched from a planet. Which one requires the greater velocity to escape the planet?

A pendulum of length ℓ swings to a maximum angle, θ. How high does it swing from its lowest position?

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?

When does v_t = rω or a_t = rα?

Two objects push off of each other. One object is more massive than the other. Which one has more momentum afterwards?

What is the moment of inertia of the disc when pivoted at its edge?

Two objects push off of each other. What major concept should you use to solve this problem and why?

What is the acceleration of an object on a frictionless ramp?

Give three ways to calculate power.

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?

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?

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?

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?

Two satellites of different masses are in the same orbit around a planet. Which one has the most gravitational potential energy?

Define impulse.

When must you use the integral form of work?

What happens when a net external force acts on an object?

A graph has force on the y-axis and displacement on the x-axis. What does the area of this graph give?

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.

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?

What happens when a force acts on an object, but not at its center-of-mass?

Two rockets of differing mass are launched from a planet. Which one requires the greater kinetic energy to escape the planet?

What equation equates frequency and angular frequency?

Two objects collide with each other. What major concept should you use to solve this problem and why?

Two identical objects collide elastically. One is initially at rest. Their final trajectories must form either of what two angles?

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?

What is a differential equation?

A satellite moves from apogee to perigee. What concept would you use to calculate its new velocity?

At a given moment in time an object has a velocity of zero.
What is its acceleration?

When can you use the kinematic equations?
(15)

When does v_cm = rω and a_cm = rα?
(36)

Two objects push off of each other. One object is more massive than the other. Which one has more kinetic energy afterwards?

Give two expressions for the normal force acting on the above mass.

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?

Given d²x/dt² = −Cx. What is its angular frequency, ω?

When can you use Conservation of Angular Momentum?

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?

An object moves between two positions. Only conservative forces act on the object. What major concept should you use to solve this problem?

An object moving with constant speed experiences a force that is always perpendicular to its motion. Describe its path.

Of the following forces, which ones are conservative?
Friction, gravity, a spring, you pushing on an object.
(10)

Given d²x/dt² = −Cx. What is true of this object's motion?

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)

A mass of M is on a table with coefficient of static friction, μ_s. 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.

What does net work always equal?

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?

Which quantities affect the period of a simple pendulum?

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.

Two objects push off of each other. One object is more massive than the other. Which one exerts the greater force on the other?

Two satellites of different masses are in the same orbit around a planet. Which one has the fastest period around the planet?

A ramp that is tilted at an angle of θ. What is the magnitude of the normal force for an object on the ramp?

What happens when a net external force acts on a system of objects?

The amplitude of oscillation doubles for a spring. By how much does the total energy change?

A graph has force on the y-axis and time on the x-axis. What does the area of this graph give?

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?

A pendulum is swinging back and forth. After it passes its lowest position, what force propels it back up?