Work, Energy, and Power 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.
Spring potential energy
Reading kinetic energy from a potential curve
Power delivered by a constant force
Work done by friction
Force from potential energy
Conservative forces and path independence
Potential energy curves
Turning points
Energy in a spring-mass system
Instantaneous power
Escape energy
Deriving force from U(x)
Short answer 1. Define or explain: Stability from a potential curve
3 ptsShort answer 2. Define or explain: When to use energy rather than forces
3 ptsShort answer 3. Define or explain: Gravitational potential energy in general
3 ptsShort answer 4. Define or explain: Escape velocity
3 ptsFree response
6 ptsA block of mass m is released from rest at the top of a curved, frictionless ramp of height h. At the bottom, it enters a rough horizontal surface with a position-dependent coefficient of kinetic friction μ_k(x) = cx, where c is a positive constant and x is the distance along the rough surface.
Derive an expression for the speed of the block at the bottom of the ramp.
Set up, but do not evaluate, an integral expression to find the total distance D the block travels on the rough surface before coming to rest.
Determine D in terms of m, g, h, and c.