Question

8. Two bodies of mass 1 kg and 3 kg have equal kinetic energies. Find the ratio of their velocities.
​

Answer 1

Answer

For body I:−K.E

1

=

2

1

m

1

v

1

2

=

2

1

×1×v

1

2

⇒K.E

1

=

2

V

1

2

For body II :- K.E

2

=

2

1

m

2

v

2

2

=

2

1

×4×v

2

2

=2v

2

2

∵K.E

1

=K.E

2

⇒

2

v

1

2

=2v

2

2

⇒

v

1

=2v

2

Now,

P2

P1

=

m

2

v

2

m

1

v

1

=

4×v

2

1×2v

2

=

2

1

⇒P1:P2 is 1:2

Hope it helps you☺