A body of mass 2 kg, initially moving with a velocity of 10 m/s, collides with another body of mass 5 kg at rest. After collision velocity of first body becomes 1 m/s. Find the velocity of second body.

m1 = 2kg, u1 = 10m/s, v1 = 1m/s

m2 = 5kg, u2 = 0m/s, v2 = ?

we know that-

m1u1 + m2u2 = m1v1 + m2v2

(2*10) + (5*0) = (2*1) + (5v2)

20 + 0 = 2 + 5v2

18 = 5v2

18 / 5 = v2

3.6 = v2

therefore, the velocity of the second body is 3.6 m/s

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By law of conservation of momentum-

2 x 10 + 5 x 0 = 2 x 1 + 5v

= 20 = 2 + 5v18 = 5v

v = 18/5 or 3.6m/s

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