Question

angular momentum of two bodies rotating about some fixed axis are in the ratio of 1:4 .their momentum of inertia about these axis are in the ratio 1:3 . ratio of their kinetic energy​

Answer 1

Answer:3/16

Explanation:

Answer 2

Answer:

3/16.

Explanation:

The kinetic energy of the body is directly proportional to the angular momentum of the body and is indirectly proportional to the moment of inertia of the body.

Since, we know that the K.E = 1/2*(angular speed)^2*moment of inertia. So, we will get on solving the above equation that K.E will be proportional to the square of angular momentum and inversely to the moment of inertia.

Hence, K.E proportional to L^2/I on substituting the values we will get that the K.E will be 1/4^2*3 which will be 3/16.