A 3kg hammer is used to drive a nail into a block of hard wood. If at the time of impact the hammers speed is 5m/s and it drives the nail 1cm into the block find(1) the acceleration (2)the force exerted
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Answer:
The Impulse (I) acting on the wood is - 15 N-m
Given:
Mass of the Hammer (m) = 3 Kg.
Initial velocity (u) = 5 m/s.
Final velocity (v) = 0 m/s.
Explanation:
\rule{300}{1.5}
From the formula we know,
⇒ I = F × t
Where,
I Denotes Impulse.
F Denotes force.
t Denotes time taken.
Now,
⇒ I = F × t
⇒ I = ( m a ) × t
⇒ I = m × { ( v - u ) / t } × t
∵ a = ( v - u ) / t
⇒ I = m ( v - u )
⇒ I = 3 × ( 0 - 5 )
⇒ I = 3 × - 5
⇒ I = - 15
⇒ I = - 15 N-m
∴ The Impulse (I) acting on the wood is - 15 N-m.
\rule{300}{1.5}
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