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Question -

A hammer of mass 500 g, moving at 50 m s-1, strikes a nail. The nailstops the hammer in a very short time of 0.01 s. What is the force of the nailon the hammer?



Answer -

Given, mass of thehammer (m) = 500g = 0.5kg

Initial velocity of thehammer (u) = 50 m/s

Terminal velocity ofthe hammer (v) = 0 (the hammer is stopped and reaches a position of rest).

Time period (t) =0.01s

a = -5000ms-2

Therefore, the forceexerted by the hammer on the nail (F = ma) can be calculated as:

F = (0.5kg) * (-5000ms-2) = -2500 N

As per the third lawof motion, the nail exerts an equal and opposite force on the hammer. Since theforce exerted on the nail by the hammer is -2500 N, the force exerted on thehammer by the nail will be +2500 N.

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