A body of mass 1 kg collides head on elastically with a stationary body of mass 3 kg. After collision, the smaller body reverses its direction of motion and moves with a speed of 2 m/s. The initial speed of the smaller body before collision is ________ .

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Solution

Q.
A body of mass 1 kg collides head on elastically with a stationary body of mass 3 kg. After collision, the smaller body reverses its direction of motion and moves with a speed of 2 m/s. The initial speed of the smaller body before collision is ________ ${ms}^{- 1}$ . [2023]

Ans.
(4)

$1 \times u_{1} = - 2 + 3 v$

$\Rightarrow u_{1} = - 2 + 3 v$ ...(i)

$1 = \frac{v + 2}{u_{1}} \Rightarrow v + 2 = u_{1}$ ...(ii)

$Solving (i) and (ii), u_{1} = 4 m/s$

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