Question

24. Two bodies A and B have velocities in the ratio of 2: I. Mass of body A is
half of the mass of body B. The kinetic energies of A and B are in the ratio
of:
(a) 4:1
(b) 1:2
(C) 2:1
(d) 1:4​

Answer 1

Answer:

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Answer 2

Answer:

we know that kinetic energy of the body = 1/2(mv^2)

where m and v are the mass and velocity of the body respectively.

Let the mass and velocity of body A be M1 and V1 respectively.

Then According to Question,

Mass of body A=1/2 Mass of Body B

or , Mass of Body B= 2* M1

And ,

Velocity of body A / Velocity of Body B =2/1

or, Velocity of Body B = 1/2 Velocity of Body A= 1/2 V1

Now kinetic energy of body A/B

= 1/2 M1*V1^2/(1/2*2M1*1/2V1^2)

=1/2 M1*V1^2/(1/2*2M1*1/4V1)

=1/2 M1*V1^2/(1/2*1/2M1*V1)

=2:1