JEE Main 2019 — Physics solution

JEE Main2019Physics

A body of mass 2 kg makes an elastic collision with a second body at rest and continues to move in the original direction but with one fourth of its original speed. What is the mass of the second body?

A
1.5 kg
B
1.8 kg
C
1.0 kg
D
1.2 kg

Solution

$2 V = \frac{2 V}{4} + m_{2} V_{2} V = V_{2} - \frac{V}{4} \frac{3 V}{2} = m_{2} (V + \frac{V}{4}) m_{2} = \frac{6}{5} = 1.2 k g$

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