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Question

Question: A solid sphere of mass 1 kg rolls on a rough table with linear speed 1 m/s. Its total kinetic energy...

A solid sphere of mass 1 kg rolls on a rough table with linear speed 1 m/s. Its total kinetic energy is:

A

1 J

B

0.5 J

C

0.7 J

D

1.4 J.

Answer

0.7 J

Explanation

Solution

KN=12mv2(1+K2R2)=12×1×(1)2×(1+25)=0.7 J\mathrm { K } _ { \mathrm { N } } = \frac { 1 } { 2 } \mathrm { mv } ^ { 2 } \left( 1 + \frac { \mathrm { K } ^ { 2 } } { \mathrm { R } ^ { 2 } } \right) = \frac { 1 } { 2 } \times 1 \times ( 1 ) ^ { 2 } \times \left( 1 + \frac { 2 } { 5 } \right) = 0.7 \mathrm {~J}