David applies contact force to hammer a nail in a wooden block. What should he do, so that the nail goes into the wooden block easily even if he applies less force?
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Answer:
mass (m)=1kg
Initial velocity (u) =2m/s
distance covered (s)= 0.01m
using (3)rd equation of motion
v
2
=u
2
=2as
∴ final velocity (v)=0 (nail does not move further)
0=(2)
2
+2a×(0.01)
a=−200m/s
2
Force of impact i..e. applied by hammer
F=ma
=(1kg)(200m/s
2
)
F=200N
Now, using (1) st equation of motion
v=u+at
∵v=0
0=2+(−200)t
t=
−200
−2
t⇒10
−2
sec
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