Question

a hammer with a head of mass M is to be used to drive nails horizontally into a wall. a force of F required to penetrate the wall. each blow should force the nail a distance X into wall,. what should be the velocity of hammers head to strike the nail?​

Answer 1

Plz see the photo . You will get ur answer.

Answer 2

The velocity required to strike the nail is $v=\sqrt \frac{2Fx}{M}$.

Given,

Mass of the hammer = M kg

Force required = F

Penetration(h) of the nail = x cm.

To find,

the velocity to strike the nail.

Solution:

Work done by force = F x (x)

The kinetic energy of hammer will be lost as work done,

$\frac{1}{2} mv{2} = Fx$

$\frac{1}{2} Mv^{2} = Fx$

$v^{2} = \frac{2Fx}{M} \\ v = \sqrt{\frac{2Fx}{M} }$

The velocity required to hit the nail would be $v=\sqrt \frac{2Fx}{M}$.

#SPJ2