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  • A body of mass collides head on elastically with a stationary body of mass <img alt="3 \m

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

Option: 1

4


Option: 2

-


Option: 3

-


Option: 4

-


Answers (1)

best_answer

\begin{aligned} & \mathrm{p}_{\mathrm{i}}=\mathrm{p}_{\mathrm{f}} \\ & \mathrm{u}_1+\mathrm{o}=-1 \times 2+3 \mathrm{v}_2 \\ & \mathrm{u}_1=3 \mathrm{v}_2-2 \, \, \, \, ...(i)\\ & \mathrm{e}=1=\frac{\mathrm{v}_2-(-2)}{\mathrm{u}_1-0} \\ & \mathrm{v}_2=\mathrm{u}_1-2 \, \, \, ...(2)\\ & \mathrm{u}_1=3\left(\mathrm{u}_1-2\right)-2 \\ & 2 \mathrm{u}_1=8, \mathrm{u}_1=4 \end{aligned}

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shivangi.shekhar

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