Question

A hammer weighing of 1 kg moving with the speed of $10m{s}^{-1}$ strikes the head of a nail driving it 10 cm into a wall. Neglecting the mass of the nail.

Calculate the acceleration (in $m/s^2$) during the impact.

• A. 0
• B. 100
• C. 200
• D. 500

Answer 1

The correct option is D 500

According to the given data,

Final velocity $\left(v\right)=0$

Initial velocity $\left(u\right)=10m{s}^{-1}$

We know that,

$v^2-u^2=2as$

$⟹$ $0^2-{10}^2=2\times a\times 0.1$

$⟹$ $a=\frac{-100}{2\times 0.1}$

$⟹$ $a=-500m{s}^{-2}$