A bullet of mass 15g travels with a speed of 400ms–1 . It penetrates 15cm into a fixed target and comes to rest. Calculate the average retarding force offered by the target.
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Mass of the bullet is m
b =50gm=0.05Kg
Initial velocity of bullet u
b =100m/s
Final velocity is v
b=0m/s
(1) Initial momentum of bullet p
i=mb u b
=5Kgm/s
(2) Final momentum of bullet p
f
=m
b
v
b
=0.05×0=0
(3) Retardation occurred by the wooden block is
v 2 −u2=2as−(100) 2=2a(0.02)
a=−250000m/s 2
(4) Resistive force
F=ma=0.05×−250000=12500N
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