Linear Momentum unit test
A test on this unit alone, marked as a percentage and a letter grade — for the test your class is actually sitting, rather than for May. Answer everything, then submit once: seeing the answer to question 3 before attempting question 4 makes the final percentage meaningless.
Elastic collision special cases
Conservation of momentum
Two-dimensional collisions
Center of mass by integration
Deciding whether momentum is conserved
Motion of the center of mass
Variable-mass systems
Rocket equation qualitatively
Impulse-momentum in two dimensions
Elastic collision in one dimension
Center of mass
Momentum and impulse as integrals
Short answer 1. Define or explain: Ballistic pendulum sequence
3 ptsShort answer 2. Define or explain: Momentum conservation with a pivot
3 ptsShort answer 3. Define or explain: Perfectly inelastic collision
3 ptsShort answer 4. Define or explain: Kinetic energy lost in a collision
3 ptsFree response
10 ptsA 2.0 kg cart rests on a frictionless horizontal track. Starting at t = 0 a horizontal force F(t) = (6 N/s²)t² acts on it for 2.0 s.
Starting from Newton’s second law, show that the impulse delivered equals ∫F dt, and calculate that impulse.
Determine the cart’s speed at t = 2.0 s.
The cart then collides with and sticks to a stationary 6.0 kg cart. Determine the velocity of the pair after the collision.
Determine the kinetic energy lost in the collision and explain where that energy goes.
Determine the impulse delivered to the 6.0 kg cart during the collision and state how it compares with the impulse delivered to the 2.0 kg cart.
State the velocity of the center of mass of the two carts immediately before and immediately after the collision.