A solid uniform sphere is rolling without slipping along a horizontal surface with a speed of 5.5 m/s when it starts up a ramp that makes an angle of 25° with the horizontal.What is the speed of the sphere after it has rolled 3.0 m up as measured along the surface of the ramp?
A)4.0 m/s
B)8.0 m/s
C)1.9 m/s
D)2.2 m/s
E)3.5 m/s

Question

Quizplus · Accepted Answer

The sphere's initial kinetic energy is converted into potential energy as it moves up the ramp. Using energy conservation and considering both translational and rotational kinetic energy, the speed after 3.0 m up the ramp is approximately 3.5 m/s.

A Solid Uniform Sphere Is Rolling Without Slipping Along a Horizontal