Question

two bodies having equal masses are moving with uniform speed of v and 2v,respectively.find the ratio of their kinetic energy

Answer 1

may this answer help you dude

Answer 2

The ratio of their kinetic energy is 1:4.

Explanation:

It is given that, two bodies having equal masses are moving with uniform speed of v and 2v, respectively. The kinetic energy of a body is given by :

$K=\dfrac{1}{2}mv^2$

For first body,

$K_1=\dfrac{1}{2}mv_1^2$..........(1)

For second body,

$K_2=\dfrac{1}{2}mv_2^2$..........(2)

From equation (1) and (2) :

$\dfrac{K_1}{K_1}=(\dfrac{v_1}{v_2})^2$

$\dfrac{K_1}{K_1}=(\dfrac{v}{2v})^2$

$\dfrac{K_1}{K_1}=\dfrac{1}{4}$

So, the ratio of their kinetic energy is 1:4. Hence, this is the required solution.

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