Gravitational Potential Energy and Kinetic Energy

Gravitational Potential Energy and Kinetic Energy problem 21

A cube of mass is dropped from the top of a curved smooth surface with radius . On its way, the cube slides over a belt of rougher horizontal surfaces with length . The coefficient of friction between the rough surface and the cube is . Then the cube slides over another smooth curved surface on which it stops for a moment and slides back in the opposite direction (see the figure below).

  • What is the speed at which the cube slides to the rough surface?

  • What is the velocity of the cube at the end of the rough surface?

  • By how much does the center of gravity of the cube rise from the end of a rough surface to a position where its velocity is zero.

  • Where does the cube stop?

A cube on a curved and flat surface.


material editor: Ebenezer Famadewa