Question

a bullet of mass 10g and gun of mass 1kg find the ratio of kinetic energy of gun to bullet

Answer 1

mass of bullet, m=10g

mass of of gun ,M=1kg = 1000g

ratio of kinetic energy = KE of bullet/KE of gun

                                    = 1/2mv sq./1/2Mvsq.

                                    = 10g/1000g = 1/100=1:100

Answer 2

The muzzle velocity of the bullet fired would be 500 m/s

1) According, to the third law of motion by newton, every action has an equal and opposite reaction.

2)  so, if the bullet exerts a momentum when going forward, same amount of momentum will push the gun backward

3) Hence, the momentum of both would be equal

10 g *  v = 1000 g * 5 m/s

v = 500 m/s

Thanks :)