A solid sphere of mass 2.5 kg and radius 0.12 m starts from rest at the top of a ramp inclined 15 $\degree$ and rolls to the bottom. The upper end of the ramp is 1.2 m higher than the lower end. What is the linear speed of the sphere when it reaches the bottom of the ramp? (Note: I = 0.4MR² for a solid sphere, and g = 9.8 m/s².)

Question

Quizplus · Accepted Answer

The correct answer is A because the linear speed of the sphere when it reaches the bottom of the ramp is 4.1 m/s. This is because the sphere's potential energy at the top of the ramp is converted into kinetic energy as it rolls down the ramp. The sphere's kinetic energy is equal to its mass times its velocity squared, so the velocity of the sphere at the bottom of the ramp can be found by taking the square root of its kinetic energy divided by its mass.

A Solid Sphere of Mass 2 °\degree° And Rolls to the Bottom

A Solid Sphere of Mass 2 $\degree$ And Rolls to the Bottom