A solid sphere of mass and radius starts from rest at the top of a ramp high

PHYSICS · Single correct · AP · Physics C: Mechanics · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

A solid sphere of mass

2.0\,\text{kg}

and radius

0.10\,\text{m}

starts from rest at the top of a ramp

1.5\,\text{m}

high. The sphere rolls without slipping down the ramp. What is the speed of the sphere’s center of mass at the bottom of the ramp? (a)

5.5\,\text{m}\!/\!\text{s}

(b)

3.9\,\text{m}\!/\!\text{s}

(c)

4.6\,\text{m}\!/\!\text{s}

(d)

6.1\,\text{m}\!/\!\text{s}