. A hammar of mass 1 kg strike on the head of a nail


with a velocity of 2 ms-1 . It drives the nail 0.01 m into a wooden block. Find the force applied by the hammer and the time of impact.

A.200 N;10-2sec

B.100 N;10-3sec

C.300 N;10-2sec

D.400 N;10-3sec

Best Answer

Explanation:

Using the first and third equations of motion,

3rd equation of motion,

v2=u2=2as

Final velocity (v)=0( nail does not move further)

0=(2)2+2a×(0.01)

a=-200m/s2

Force of impact i..e.applied by hamme,r

F=ma

=(1 kg) (200 m/s2)

F=200 N

1st equation of motion

v=u+at

0=2+(-200)t

t=-2/-200

t=10-2sec

Final answer:

Hence, option A is correct, i.e.,200 N;10-2sec .

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