(C) The force required to maintain a constant velocity when mass is being added to a system is given by the thrust force formula: $F = v \frac{dm}{dt}

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(C) The force required to maintain a constant velocity when mass is being added to a system is given by the thrust force formula: $F = v \frac{dm}{dt}$.Here,the velocity of the train is $v = 10 \,m/s$.The rate at which mass is added is $\frac{dm}{dt} = 5 \,kg/s$.Since the rain falls vertically (zero horizontal velocity),the engine must provide an additional force to accelerate this added mass to the velocity of the train.Therefore,$F = 10 \,m/s \times 5 \,kg/s = 50 \,N$.

Class 11 Physics Laws of Motion Variable Mass System and Rocket Problem

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An open carriage in a goods train is moving with a uniform velocity of $10 \,m/s$. If the rain adds water with zero velocity at the rate of $5 \,kg/s$,then the additional force required by the engine to maintain the same velocity of the train is ....... $N$.

A
$0.5$
B
$20$
C
$50$
D
$0$

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An open carriage in a goods train is moving with a uniform velocity of $10 \,m/s$. If the rain adds water with zero velocity at the rate of $5 \,kg/s$,then the additional force required by the engine to maintain the same velocity of the train is ....... $N$.

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