A 90kg cannon fires 100kg shell with muzzle velocity of 75m/s. Calculate the recoil velocity of the cannon relative to the ground

Answer: 83.8 m/s

Explanation:

momentum of shell = momentum of cannon

M (s) * V (s) = M (c) * V (c)

M (s) = mass of shell, V (s) = velocity of shell

M (c) = mass of cannon, V (c) = velocity of cannon

100kg * 75m/s = 90kg * V (c)

7500 = 90 * V (c)

7500 : 90 = V (c)

83.3 = V (c)