Two bodies A and B of equal mass have their velocities in the ratio 1:

1.	Two bodies A and B of equal mass have their velocities in the ratio 1:2.What will be the Kinetic Energy?
Answer» Answer: $\huge{\mathcal{\underline{\green{AnSwER}}}}$ Explanation: Kinetic energy=1/2mv² Let the kinetic energy of body traveling with UNIFORM VELOCITY be (K.E)1 And the kinetic energy of the body traveling with uniform velocity 2V be (K.E)2 So the REQUIRED ratio of their kinetic energy be =(K.E)1/(K.E)2 =[1/2mv²]\[1/2m(2v)²] =v^2/4v² =1/4 So,the ratio kinetic energy of the both bodies are 1:4.

Two bodies A and B of equal mass have their velocities in the ratio 1:2.What will be the Kinetic Energy?

Answer»

Answer:

$\huge{\mathcal{\underline{\green{AnSwER}}}}$

Explanation:

Kinetic energy=1/2mv²

Let the kinetic energy of body traveling with UNIFORM VELOCITY be (K.E)1

And the kinetic energy of the body traveling with uniform velocity 2V be (K.E)2

So the REQUIRED ratio of their kinetic energy be

=(K.E)1/(K.E)2

=[1/2mv²]\[1/2m(2v)²]

=v^2/4v²

=1/4

So,the ratio kinetic energy of the both bodies are 1:4.