A solid ball $\mathbf { A }$ of mass $m$ and radius $r$ is placed at the top of a smooth, frictionless incline. Another solid ball $\mathbf { B }$ of equal mass and equal radius is placed at the top of a rough incline. Both inclines have the same height $h$ and the same angle. The balls are released. At the bottom, the ball that has the greater total kinetic energy is

Question

Quizplus · Accepted Answer

Both balls have the same total kinetic energy at the bottom because energy conservation applies to both. The gravitational potential energy lost is converted into kinetic energy, and since both balls have the same mass, radius, and drop height, they end up with the same total kinetic energy, regardless of the surface of the incline.

A Solid Ball A\mathbf { A }A Of Mass mmm And Radius rrr

A Solid Ball $\mathbf { A }$ Of Mass $m$ And Radius $r$