Q.
A body is moving with a velocity v, breaks up into two equal parts. One of the part retraces back with velocity v. Then the velocity of the other part is
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a
v in forward direction
b
3v in forward direction
c
v in backward direction
d
3v in backward direction
answer is B.
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Detailed Solution
Let the initial mass of body = m Initial linear momentum = mv …(i)When it breaks into equal masses then one of the fragment retrace back with same velocity ∴ Final linear momentum = m2(−v)+m2(v2) …(ii)By the conservation of linear momentum ⇒mv=−mv2+mv22⇒v2=3vi.e. other fragment moves with velocity 3v in forward direction
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