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Question

A rocket is moving at a constant speed in space by burning its fuel and ejecting out the burnt gases through a nozzle. Is there any force acting on the rocket? If yes, how much?

A
Yes, equal to rate of change in momentum
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B
No
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C
Yes, equal to rate of change in velocity
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D
Yes, equal to change in mass
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Solution

The correct option is A Yes, equal to rate of change in momentum
As it is moving upward by ejecting gases its mass is getting decreased gradually. As momentum is the product of the mass and velocity that is p=mv. Hence momentum decreases as mass is decreasing and nothing with speed as it is constant. As we know force is defined as rate of change of momentum. Here momentum is changing hence a force will be acting on rocket.

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