Question

A sphere of mass 20kg moving with a velocity of 40ms-1 collides with another sphere of mass 15kg which is at rest . After collision if they move with the same velocity that velocity is equal to

Answer 1

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

20(40) + 0 = v(20+15)

v = 20(40)/35

v = 22.85 m/s

Answer 2

Given :

Mass of sphere 1 , M = 20 kg .

Mass of sphere 2 , m = 15 kg .

Velocity of 20 kg sphere , $u_1=40\ m/s$ .

Velocity of 15 kg sphere , $u_2=0\ m/s$ .

After collision if they move with the same velocity .

To Find :

The velocity after collision .

Solution :

We know , by conservation of momentum .

Initial momentum = Final momentum

$Mu_1+mu_2=(M+m)v\\\\20\times 40+15\times 0 = (20+15)v\\\\35v=800\\\\v=22.85\ m/s$

Learn More :

Conservation of momentum

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