A bullet of mass $m$ moving with velocity $v$ strikes a suspended wooden block of mass $M$. If the block rises to a height $h$, the initial velocity of the bullet will be
A bullet of mass $m$ moving with velocity $v$ strikes a suspended wooden block of mass $M$. If the block rises to a height $h$, the initial velocity of the bullet will be
- A
$\sqrt {2gh} $
- B
$\frac{{(M + m)}}{m}\sqrt {2gh} $
- C
$\frac{m}{{(M + m)}}\sqrt {2gh} $
- D
$\frac{{(M - m)}}{m}\sqrt {2gh} $
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A 3.628 kg freight car moving along a horizontal rail road spur track at $7.2\; km/hour$ strikes a bumper whose coil springs experiences a maximum compression of $30 \;cm$ in stopping the car. The elastic potential energy of the springs at the instant when they are compressed $15\; cm$ is [2013]
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$Assertion$ : If collision occurs between two elastic bodies their kinetic energy decreases during the time of collision.
$Reason$ : During collision intermolecular space decreases and hence elastic potential energy increases
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$Reason$ : During collision intermolecular space decreases and hence elastic potential energy increases