Solveeit Logo

Question

Question: The ratio of rotational and translatory kinetic energies of a sphere is:...

The ratio of rotational and translatory kinetic energies of a sphere is:

A

2/9

B

2/7

C

2/5

D

7/2.

Answer

2/5

Explanation

Solution

=12mv2K2R212mv2=K2R2=25= \frac { \frac { 1 } { 2 } m v ^ { 2 } \frac { K ^ { 2 } } { R ^ { 2 } } } { \frac { 1 } { 2 } m v ^ { 2 } } = \frac { K ^ { 2 } } { R ^ { 2 } } = \frac { 2 } { 5 }