Question

A 3 kg hammer’s is used to drive a nail into the block of hard wood. If at the time of impact, hammers speed is 5 ms–1 and it drives the nail 1 cm in to the block, the impulse acting is

Answer 1

Answer:

• The Impulse (I) acting on the wood is - 15 N-m

Given:

1. Mass of the Hammer (m) = 3 Kg.
2. Initial velocity (u) = 5 m/s.
3. 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.

$\rule{300}{1.5}$

Answer 2

$\huge\underline\mathtt\red{Answer:-}$

The Impulse (I) acting on the wood is - 15 N-m