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Question

Question: A solid sphere of mass M and radius R rolls on a horizontal surface without slipping. The ratio of r...

A solid sphere of mass M and radius R rolls on a horizontal surface without slipping. The ratio of rotational kinetic energy to total kinetic energy is

A

1 : 2

B

2 : 5

C

2 : 7

D

7 : 10

Answer

2 : 7

Explanation

Solution

 KE Rot.  TotalKE \frac { \text { KE } _ { \text {Rot. } } } { \text { TotalKE } } = = 2/51+2/5\frac { 2 / 5 } { 1 + 2 / 5 } =27\frac { 2 } { 7 }