Make sure the bullet is fired in a positive direction.
Consequently,
Bullet mass (m) = 20 grams = 0.02 kg
Pistol Mass (M) = 2 kg
Bullet’s initial velocity (u) = 0 m/s
Pistol’s initial velocity (U) = 0 m/s
The bullet’s final velocity (v) is 200 m/s.
Pistol’s final velocity (V) = bullet’s recoil velocity =?
The Law of Conservation of Momentum states that
mv + MV = mu + MU
(0.02)(0) + (2)(0) = (0.02)(200) + (2)(V)
0 + 0 = 4 + 2V
–4/2 = V
V = -2.0 m/s
Make sure the bullet is fired in a positive direction.
Consequently,
Bullet mass (m) = 20 grams = 0.02 kg
Pistol Mass (M) = 2 kg
Bullet’s initial velocity (u) = 0 m/s
Pistol’s initial velocity (U) = 0 m/s
The bullet’s final velocity (v) is 200 m/s.
Pistol’s final velocity (V) = bullet’s recoil velocity =?
The Law of Conservation of Momentum states that
mv + MV = mu + MU
(0.02)(0) + (2)(0) = (0.02)(200) + (2)(V)
0 + 0 = 4 + 2V
–4/2 = V
V = -2.0 m/s