Answer:
A) 5m/s
Explanation:
Momentum of ball in one direction=momentum of cannon in other direction
mv = mv
(10)(500)=(1000)v
5000=1000v
∴v=5m/s
When a ball is fired with a velocity its momentum remains conserved. The recoil velocity of the cannon is 5m/s.
The velocity with which the cannon is pushed backwards after firing is called the recoil velocity.
The momentum remains conserved . So, according to the momentum conservation principle, initial momentum is equal to the final momentum.
Mu +mu=Mv +mv
where, M is the mass of cannon and m is the mass of ball.
u is the initial velocity and v is the final velocity.
10 kg ball is fired with a velocity of 500 meters per second from a 1,000 kg cannon.
mu = Mv
(10)(500)=(1000)v
5000=1000v
v=5m/s
Thus, the recoil velocity of the cannon is 5 m/s.
Learn more about recoil velocity.
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