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