. 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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