A 12.0 kg hammer hits a nail at a velocity of 13.2 m/sec in 0.005 sec. What is the average force exerted on the nail? (Show solution) (Lesson: Impulse and momentum) please I really need a good answer :
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Given that,
- Mass of the hammer = 12 kg
- Velocity of the hammer = 13.2 m/s
- Time taken for the nail to stop = 0.005 seconds.
- Force on the nail = ?
- Impulse on the nail = ?
Let's calculate the momentum of the nail :
⇒ Momentum = Mass × velocity
⇒ Momentum = 12 kg × 13.2 m/s
⇒ Momentum = 158.4 Ns.
Let's calculate the Force :
⇒ Force = Momentum/Time
⇒ Force = 158.4 Ns/0.005 sec
⇒ Force = 31680 N.
Impulse on the nail :
⇒ Impulse = Force × Time
⇒ Impulse = 31680 N × 0.005 s
⇒ Impulse = 158.4 Ns
Hope this helps you.
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