Question

A solid sphere of mass 500 gm and radius 10 cm rolls without slipping with the velocity 20 cm/s. The total kinetic energy of the sphere will be:

• A. 0.014 J
• B. 0.028 J
• C. 280 J
• D. 140 J.

Answer 1

Answer: (A)

0.014 J

Answer 2

$\frac { 1 } { 2 } \mathrm { mv } ^ { 2 } \left( 1 + \frac { \mathrm { K } ^ { 2 } } { \mathrm { R } ^ { 2 } } \right) = \frac { 1 } { 2 } ( 0.5 ) ( 0.2 ) ^ { 2 } \left( 1 + \frac { 2 } { 5 } \right)$ =