A wagon weighing 1000 kg is moving with a

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A wagon weighing $1000\, kg$ is moving with a velocity $50\,km/h$ on smooth horizontal rails. A mass of $250 \,kg$ is dropped into it. The velocity with which it moves now is ......... $km/hour$

A

$2.5$

B

$20$

C

$40$

D

$50$

A wagon weighing $1000\, kg$ is moving with a velocity $50\,km/h$ on smooth horizontal rails. A mass of $250 \,kg$ is dropped into it. The velocity with which it moves now is ......... $km/hour$

According to principle of conservation of linear momentum

$1000\;\, \times 50 = 1250\,\; \times v$$⇒$ $v = 40\,km/hr$