Question

A body of mass 20 kg moving with a velocity 10 m/s collides with another body of mass 40 kg

Answer 1

Hello friend
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Given:

Mass of the first body (m1) = 20kg.

Mass of the second body(m2) = 40kg.

Initial velocity of the first body(u1) = 10m/s

Here you not given the initial velocity of the second body.
hence, we take the half of the first velocity

Initial velocity of the second body(u2)= 5m/s.


Final velocity of the body=?

Let's v1 and v2 be the common velocities of the body.

Means, v1 = v2 = v

We know that,

m1u1 + m2u2 = m1v1 + m2u2

By putting the values.

(20 x 10) + (40 x 5) = (20 x v) + (40 x v)

200+200 = v(20+40)

400 = 60v

v = 400/60

v = 6.66m/s.

I hope this will helps you.

Thanks.