A uniform solid cylinder of mass and radius starts from rest on a horizontal surface

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

A uniform solid cylinder of mass

2.0\,\text{kg}

and radius

0.20\,\text{m}

starts from rest on a horizontal surface. A constant horizontal force of

10\,\text{N}

is applied at the cylinder’s center of mass, causing it to roll without slipping. After the cylinder has traveled

1.5\,\text{m}

, what is the speed of its center of mass? (The moment of inertia of a solid cylinder about its center is

\tfrac12 mR^2

.) (a)

4.6\,\text{m/s}

(b)

3.9\,\text{m/s}

(c)

3.2\,\text{m/s}

(d)

2.7\,\text{m/s}