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Anonymous

Dec 29, 2024

A 12-kg hammer strikes a nail at a velocity of 8.5m/s?

A 12-kg hammer strikes a nail with a velocity of 8.5 m/s and comes to rest in a time interval of 8.0 ms. (a) What is the impulse imparted to the nail? (b) What is the average force exerted on the nail?

1 Answers

The impulse is the change in momentum. The hammer initially has a linear momentum of 12kg 8.5 m/s = 102 Nsec. Its final speed is 0 m/s, so its final momentum is 0 Nsec. The change in momentum = impulse = 102 Ns.

The average force accompanying a change in momentum is given by the impulse divided by the time over which the impulse is delivered. In this case, F = 102 N*sec/0.008 sec = 12750 N.

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