Answer:
See the answers below.
Explanation:
Momentum is defined as the product of mass by velocity, and can be calculated by means of the following expression.
[tex]P=m*v[/tex]
where:
P = Momentum [kg*m/s]
m = mass = 10 [g] = 0.01 [kg]
v = velocity = 400 [m/s]
i)
[tex]P=0.01*400\\P=4[kg*m/s][/tex]
ii)
The momentum of the gun is equal to zero, because it does not move before being fired, the weapon only moves after having fired the weapon.
[tex]P_{gun}=0[/tex]
iii)
Since the momentum is conserved before and after the shot, the same momentum given to the bullet is equal to the momentum received by the gun.
[tex]P=m*v_{recoil}[/tex]
[tex]v_{recoil}=P/m\\v_{recoil}= 4/2\\v_{recoil}=2[m/s][/tex]
