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Collision Examples I

A BODY OF MAS...

Question

A BODY OF MASS m1 ,MOVING WITH A UNIFORM VELOCITY OF 40 m/s COLLIDES WITH ANOTHER MASS m2 AT REST AND THEN THE TWO TOGETHER BEGIN TO MOVE WITH A UNIFORM VELOCITY OF 30m/s .THE RATIO OF THEIR MASSES (m1/m2) is

0.75

1.33

3

4

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Solution

Perfectly inelastic collision:

If the given two bodies moves combinedly together after the collision, then the collision is said to be perfectly inelastic collision.

It obeys the law of conservation of momentum.

$m_{1} u_{1} + m_{2} u_{2} = (m_{1} + m_{2}) v m_{1} (40) + m_{2} (0) = (m_{1} + m_{2}) (30) 10 m_{1} = 30 m_{2} \frac{m_{1}}{m_{2}} = \frac{30}{10} = 3$

Answer: Option - (3)

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