MCQ
A body moving towards a finite body at rest collides with it. It is possible that:
- ABoth the bodies come to rest.
- BBoth the bodies move after collision.
- CThe moving body comes to rest and the stationary body starts moving.
- ✓Both $B$ and $C$
✓
Answer
Correct option: D.
Both $B$ and $C$
By using the law of conservation of linear momentum we can write:
Initial momentum of the two bodies $=$ Final momentum of the two bodies
$\Rightarrow\text{P}_{\text{i}}=\text{P}_ {\text{f}}$
$\Rightarrow\text{m}_1\text{u}=\text{m}_1\text{v}_1+\text{m}_2\text{v}_2$
$\Rightarrow\text{v}_1=\text{v}_2\ne0$
However, it may be possible that $\text{v}_1$ becomes $0$ and $\text{v}_2$ becomes $\frac{\text{m}_1\text{u}}{\text{m}_2}.$
Initial momentum of the two bodies $=$ Final momentum of the two bodies
$\Rightarrow\text{P}_{\text{i}}=\text{P}_ {\text{f}}$
$\Rightarrow\text{m}_1\text{u}=\text{m}_1\text{v}_1+\text{m}_2\text{v}_2$
$\Rightarrow\text{v}_1=\text{v}_2\ne0$
However, it may be possible that $\text{v}_1$ becomes $0$ and $\text{v}_2$ becomes $\frac{\text{m}_1\text{u}}{\text{m}_2}.$
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