*If a cannon has a mass of 500 kg and the cannonball is fired at a velocity of 0.25 m/s, what will be the momentum of the cannon?*
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Force by ground on the cannon = 100N.
Work done by ground on the cannon = 100 x(0.5) = 50J.
Applying conservation of energy
work done by ground on canon = Kinetic energy of canon immediately after firing = (1/2) mv2= 50J.
Velocity of cannon (v) = 0.5m/sec.
By applying law of conservation of momentum
400(0.5) = 2 (velocity of cannon ball)
Velocity of canon ball = 100m/sec.
Time taken by the canon ball to hit = 500/100 = 5 seconds.
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