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# Conservation of Energy: What's Happening

SATPHY-E45KRK

The equation below represents a situation involving the conservation of energy.

Which of the situations given below does this equation best describe? Assume that no values in the equation can be zero for any of the situations.

$$mgh_{i}+(1/2)mv_{i}^{2}=mgh_{f}+(1/2)mv_{f}^{2}+F_{f}d$$

A

A cart moving down a hill (with friction) is stopped by a compressed spring.

B

A roller coaster at the top of one hill coasts to the top of a second hill (Friction is involved.)

C

A ball is dropped from rest until it hits the ground.

D

A roller coaster on a frictionless track at the top of one hill coasts to the bottom of the hill.

E

A mass slides down a ramp with friction and comes to a stop after smashing into a wall.