This exam asesses course standards 20–31. If you can do the tasks described below, you will satisfy the standards on the exam.
Given one find the other two: the radius of a circle, its circumference, and its diameter.
Given one of the following characteristics of a repeating process, find the other two: period, angular speed, and frequency.
Given two of the following characteristics of motion with constant speed in a circular path, find the third: radius, speed, and period.
Convert angles between revolutions, degrees, and radians.
Convert angular speeds between revolutions per second, revolutions per minute, degrees per second, and radians per second.
Identify the direction of acceleration in uniform circular motion.
Find the magnitude of uniform circular motion given the radius and (speed or frequency or period or angular speed).
Given two vectors' magnitudes and the angle between them, find their dot and cross products.
Given two vectors as Cartesian components, find their dot product.
Identify the properties of dot and cross products of vectors that are in the same direction, in opposite directions, or perpendicular.
Classify dot products as vectors or scalars.
Classify cross products as vectors or scalars.
Identify how the angle between two vectors influences the absolute value of their dot product.
Identify how the angle between two vectors influences the magnitude of their cross product.
Identify how the angle between two vectors influences the sign of their dot product.
Identify how the angle between two vectors influences the direction of their dot product.
Given a force and the displacement over which it acts, calculate the work it does.
Given a body's mass and change in elevation, calculate the work done on it by gravity.
Given two, find the third: force, instantaneous velocity, instantaneous power.
Identify the name of the SI unit of work, and decompose it into m, kg, and s.
Identify the name of the SI unit of power, and decompose it into m, kg, and s.
Given the forces acting on a body and the body's displacement during a process, determine the net work done on it during the process.
Classify work as a vector or a scalar.
Identify the formula for work given force and displacement.
Given one, find the other: the work done on a body during a process, the body's change in kinetic energy during the process.
Given two, find the third: a body's speed, its mass, and its kinetic energy.
Given two, find the third: a body's mass, its elevation, and its gravitational potential energy.
Calculate the energy stored in a stretched or compressed spring.
Given two, find the third: the spring constant k of a spring, its extension or compression, and its elastic potential energy.
Given two, find the third: the spring constant k of a spring, its extension or compression, and its tension.
Classify forces as conservative or non-conservative.
Identify the change in mechanical energy during a process involving only conservative forces.
Identify the change in mechanical energy during a process involving non-conservative forces.
Recognize special cases of kinetic or potential energy in multi-step processes. (Zero kinetic energy, zero or maximum potential energy, etc.)
Use conservation of energy to determine unknown quantities in processes in which a body's speed, elevation, spring compression, etc. change.
Given an object's mass and velocity, calculate its momentum.
Identify the SI unit of momentum, and decompose it into m, kg, and s.
Calculate the total momentum of an isolated set of objects given their initial masses and velocities.
Categorize momentum as a vector or scalar.
Given two, find the third: impulse, duration, force.
Identify the SI unit of impulse, and decompose it into m, kg, and s.
Categorize impulse as a vector or scalar.
Given the impulse applied to a body in a process, find the change in its kinetic energy.
Given the masses of two bodies and their initial velocities, find their shared velocity after a totally inelastic collision in one or two dimensions.
Given the masses of two bodies and the initial velocities along a line, find their final velocities along the same line after an elastic collision.
Given the masses of two bodies, their initial velocities, and the final velocity of one, find the final velocity of the other in one or two dimensions.
Identify three quantities conserved in an elastic collision.
Identify the types of collision that conserve total momentum.
Identify the types of collisions that conserve total kinetic energy.
Identify the types of collision in which both bodies have the same final velocity.
Given two, find the third: tangential acceleration, angular acceleration, distance from the axis.
For a body rolling without slipping, given two, find the third: radius, angular displacement, distance traveled.
For a body rolling without slipping, given two, find the third: radius, angular velocity, velocity.
For a body rolling without slipping, given two, find the third: radius, angular acceleration, linear acceleration.
For a body rolling without slipping, given two, find the third: angular displacement, time, average angular velocity.
For a body rolling without slipping, given two, find the third: change in angular velocity, time, and average angular acceleration.
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Revised: 22 October 2025. Maintained by Richard Barrans.
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