Question

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 :

Answer 1

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

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