A box of mass m and a box of mass 4m are sliding with equal speeds along a level frictionless surface. Then they both slide up the same frictionless hill. Which rises to a greater height?
A) The box of mass m because it is lighter and its inertia is smaller.
B) The box of mass m because it has less kinetic energy and therefore more potential energy.
C) Both boxes slide to the same height.
D) The box of mass 4m because it is heavier.
E) The box of mass 4m because it has a larger kinetic energy and therefore more potential energy.

Question

Quizplus · Accepted Answer

Since both boxes have the same speed and are moving on a frictionless surface, they will convert their kinetic energy to potential energy equally, regardless of their mass. This means both will reach the same height.

A Box of Mass M and a Box of Mass