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A hammer of mass 500 g, moving at 50 ms−1, strikes a nail. The nail stops the hammer in a very short time of 0.01 s. What is the force of the nail on the hammer? - Science

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Question

A hammer of mass 500 g, moving at 50 ms−1, strikes a nail. The nail stops the hammer in a very short time of 0.01 s. What is the force of the nail on the hammer?

Numerical
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Solution

The force of the nail on the hammer,

F = `"Change in momentum of hammer"/ "Time"`

F = `(m (v - u))/t`

F = `(0.50  kg  (0 - 50  ms^-1))/(0.01 s)`

F = `(0.50  kg (0 - 50  ms^-1))/(0.01 s)`

F = -2500 N

The minus sign denotes the force that the nail applies to the hammer when it acts in the opposite direction of the hammer.

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Chapter 9: Force and Laws of Motion - Exercises [Page 130]

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NCERT Science [English] Class 9
Chapter 9 Force and Laws of Motion
Exercises | Q 3 | Page 130
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