A uniform solid sphere of mass M and radius R is rolling without slipping along a level plane when it encounters a ramp that is at an angle of $\theta$ = 32.0^o above horizontal.The maximum distance that the sphere rolls without slipping up the ramp before (instantaneously)stopping and rolling back down is 3.15 m.What was the linear speed of the sphere before it encountered the ramp? A)3.69 m/s B)4.84 m/s C)6.12 m/s D)7.86 m/s E)None are correct.

Question

Quizplus · Accepted Answer

The initial kinetic energy (translational + rotational) of the sphere is converted into gravitational potential energy at the maximum height on the ramp. Using energy conservation and the given distance, the initial speed can be calculated.

A Uniform Solid Sphere of Mass M and Radius R θ\thetaθ

A Uniform Solid Sphere of Mass M and Radius R $\theta$