Q.

A mass 2m rests on a horizontal table. It is attached to light inextensible string which passes over a smooth pulley and carries a mass m at the  other end. If the mass m is raised vertically through a distance h and is then dropped then the speed with which the mass 2m begins to rises is 2ghN  then ‘N’ is equal to_______

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answer is 3.

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Detailed Solution

Let J be the impulse (or jerk) and v the common speed. Applying Impluse=change in linear momentumFor mass m,J=mv0−mv J=2mv V=2gh3
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A mass 2m rests on a horizontal table. It is attached to light inextensible string which passes over a smooth pulley and carries a mass m at the  other end. If the mass m is raised vertically through a distance h and is then dropped then the speed with which the mass 2m begins to rises is 2ghN  then ‘N’ is equal to_______