Q.

A smooth container filled with water moves with a velocity v0. If water leaks at the base with a constant rate μ kg/s, then the acceleration of the container is (Assume M= initial mass of the system (container + water)).

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Detailed Solution

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The water leaks with zero relative velocity. Hence no reaction force is exerted on the container Then Fext=Ma

0=(Mμt)

Since​​Mμt0,a=0        (Fext=0)

v=v0  and  a=0

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A smooth container filled with water moves with a velocity v0. If water leaks at the base with a constant rate μ kg/s, then the acceleration of the container is (Assume M= initial mass of the system (container + water)).