A bullet of mass 8g is fired with a gun The bullet leaves the barrel with a velocity of 200m/s after 0.004 second.Find the force exerted by the gun on the bulletA bullet of mass 8g is fired with a gun The bullet leaves the barrel with a velocity of 200m/s after 0.004 second.Find the force exerted by the gun on the bullet
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Let the bullet accelerate with acceleration =a
Time taken to leave the barrel=t
v−0=at and v
2
−0=2aL
t=
a
v
and a=
2L
v
2
Force acting on the bullet F=ma
Work done on the bullet =F.L=ma.L
Average power delivered to bullet =
t
maL
a
v
maL
=
v
ma
2
L
=
v
m(
4L
2
v
4
)L
=
4L
mv
3
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