Question

A body of mass 5kg moving with velocity of 3m/s colliods with one another body of mass 3kg at rest. After collision both move with same velocity . Find their common velocity

Answer 1

the answer is 1.875
by the law of conservation of momentem
mv + m'v' = (m+m')v'
mv + 0 = (m+m')v'
mv/(m+m') = v'
v' = 15/8 = 1.875

Answer 2

mass of body 1 = 5kg

initial velocity (u) = 3 m/s

final velocity (v) = v

mass of body 2 = 3kg

initial velocity (u) = 0 (at rest)

final velocity (v) = v

m1 u1 + m2 u2 = m1 v1 + m2 v2

5×3 + 3×0 = 5×v + 3×v

15+0 = 8v

v = 15/8

v = 1.88 m/s

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