Question

two bodies of masses M and 4m are moving with equal kinetic energy the ratio of the velocity with which they are travelling is

Answer 1

answer is 1:4
As the mass is 4 times so ratio is 1:4

Answer 2

The ratio of the velocities of both the objects are 1:2.

Explanation:

The masses of two bodies are m and 4m. These two masses have equal kinetic energy. We need to find the ratio of velocity with which they are travelling.

We know that the kinetic energy of an object is given by :

$E_1=\dfrac{1}{2}mv_1^2$

For second object,

$E_2=\dfrac{1}{2}(4m)v_2^2$

Since, $E_1=E_2$

$\dfrac{1}{2}mv_1^2=\dfrac{1}{2}(4m)v_2\\\\v_1^2=4v_2^2\\\\\dfrac{v_1}{v_2}=\dfrac{1}{2}$

So, the ratio of the velocities of both the objects are 1:2.

Learn more,

Kinetic energy

https://brainly.in/question/16148036