A hoop is rolling without slipping along a horizontal surface with a forward speed of 5.50 m/s when it starts up a ramp that makes an angle of $25.0 ^ { \circ }$ with the horizontal. What is the speed of the
Hoop after it has rolled 3.00 m up as measured along the surface of the ramp?
A) 1.91 m/s
B) 4.22 m/s
C) 3.79 m/s
D) 8.02 m/s
E) 2.06 m/s

Question

Quizplus · Accepted Answer

The initial kinetic energy (translational + rotational) is converted into potential energy as the hoop rolls up the ramp. Using energy conservation and the given parameters, the final speed is calculated to be approximately 4.22 m/s.

A Hoop Is Rolling Without Slipping Along a Horizontal Surface 25.0∘25.0 ^ { \circ }25.0∘

A Hoop Is Rolling Without Slipping Along a Horizontal Surface $25.0 ^ { \circ }$