A bullet of mass 25 g is horizontally fired with a velocity of 500 m/s from a gun of mass 5 Kg. The magnitude of the recoil velocity of the gun is ?
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Step-by-step explanation:
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Answer:
Step-by-step explanation:
by conservation of momentum we know that
initial momentum = final momentum
let m1 be the mass of bullet and m2 be the mass of the gun.
m1u1 + m2u2= m1v1 + m2v2
also we know that initially the gun as well as the bullet are at rest .....hence
0=m1v1+m2v2
also SI unit is kg
mass of bullet =m1=10 g = 0.01kg
velocity of bullet=v1=150m/s
mass of gun=m2=4kg
so.....
0=(0.01*150)+4 v2
4v2= -1.5
v2=-(1.5)/4
= -0.375m/s
negative sign represents that it will recoil in a direction opposite to that of the bullet fired
hope this helps
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