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Q.

A body of mass 1kg makes an elastic collision with another body at rest and continues to move in the original direction after collision with a velocity equal to $\frac{1}{4} t h$ of its original velocity. Find the mass of the second body.

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a

0.6kg

b

5 kg

c

2 kg

d

6 kg

answer is A.

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Detailed Solution

$\frac{u_{1}}{4} = v_{1} = \frac{m_{1} - m_{2}}{m_{1} + m_{2}} u_{1}$ $m_{1} + m_{2} = 4 m_{1} - 4 m_{2}$

$5 m_{2} = 3 m_{1}$ $∴ m_{2} = \frac{3 \times 1}{5} = 0.6 k g$

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A body of mass 1kg makes an elastic collision with another body at rest and continues to move in the original direction after collision with a velocity equal to 14th of its original velocity. Find the mass of the second body.