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Question

a body of masses 2kg,initially moving with

a velocity of 10m/s collides with another body of masses 5kg at rest .after collision velocity of first body becomes 1m/s.Find velocity of the second body.

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Solution

The information provided in the question is as follows:
Mass of first body,m1 2 kg
Mass of second body, m2 5 kg
Initial velocity of first body, v1 10 m/s
Initial velocity of second body v2 0
Final velocity of first body, v1' 1 m/s

From conservation of momentum,
Initial momentum = Final momentum
m1v1+m2v2=m1v1'+m2v2'2×10+0=2×1+5×v2'v2'=20-25=3.6 m/s

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