Question

A body of mass 100g travelling with a velocity of 10m/s collides head on with another body of mass 500g initially at rest. If the collision is elastic, Find the velocities of the bodies after collision


please ans it step by step

Answer 1

Answer:

10/3 and -20/3.

Explanation:

The mass of the body is 100g and travelling with 10m/s

The other mass is 500g and it us at rest.

so the initial velocities are

U1=10m/s and V1=0m/s

Let the final velocities be

U2 and V2

So by conservation of momentum

100×10+500×0=100×U2+ 500×V2

i.e 10= U2+5V2....( Dividing by 100).....(1)

Now the collision is elastic

i.e e=coefficient of elasticity=1

Also

$e = \frac{v2 - u2}{u1 - v1}$

so

$1 = \frac{v2 - u2}{10 - 0}$

so

$v2 - u2 = 10$

Now add (1)and the above equation

so, 6V2=20

v2=(10/3) m/s

Now put this V2 in any of the equation you get

U2=(-20/3) m/s