Answer :
The velocity of the cannon moving backward is 1.021 m/s.
If two objects collision without friction, the law of conservation of momentum will apply.
p = p'
m₁ v₁ + m₂ v₂ = m₁ v₁' + m₂ v₂'
- m₁ = the mass of a first object (kg) = 484 kg
- v₁ = the velocity of the first object before collision = 0 m/s
- v₁' = the velocity of the first object after collision
- m₂ = the mass of second object = 19 kg
- v₂ = the velocity of the second object before collision = 0 m/s
- v₂' = the velocity of the second object after collision = 26 m/s
The cannons and cannonballs were initially still.
(484 × 0) + (91 × 0) = (484 × v₁') + (19 × 26)
0 = 484v₁' + 494
484v₁' = - 494
v₁' = - 494 ÷ 484
v₁' = - 1.021 m/s
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