Question

pls tell me the correct answer of this question

Answer 1

Here,
M = 500 g = 1/2 kg
U = 50 m/s
V = 0 m/s. (as the hammer stops after hitting the nail)
T = 0.015 sec

Then, we have to find,
F = ?

Now, by first equation of motion,

$v = u + at$
$= > a = \frac{v - u}{t}$
$= > a = \frac{0 - 50}{0.015}$
$= > a = \frac{ - 50 \times 1000}{15}$
$= > a = \frac{ - 5000}{15}$
$= > a = - 333.33$
Hence, the acceleration of hammer is 333 m/s². (approx)

We know that,
$F = ma$
$= > F = \frac{1}{2} \times - 333$
$= > F = - 165.5$
Hence, force applied by hammer on nail is 165.5 N

Now, According to third law of motion,
any action has equal and opposite reaction. Therefore, the nail also exerts a force of 165.5 N on the hammer but in opposite direction.

That's your answer.

Hope it'll help.. :-D