Cannon at rest shot on frozen pond. what is cannon balls v after cannon recoil?

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SUMMARY

The discussion focuses on a physics problem involving a 253.5 kg cannon firing a 6.8 kg cannonball horizontally on a frictionless surface. When the cannon recoils to the right at a velocity of 6.9 m/s, the conservation of momentum principle is applied to determine the cannonball's velocity. The calculation shows that the momentum of the cannon before and after firing must be equal, leading to a cannonball velocity of -257.22 m/s, indicating it moves in the opposite direction of the cannon's recoil.

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A 253.5 kg cannon rests on a frozen pond. The cannon is loaded with a 6.8 kg cannon ball and is fired horizontally. If the cannon recoils to the right with a velocity of 6.9 m/sec , then what is the velocity (in m/s) of the cannonball just after it leaves the cannon?

Also would like a hint to start it! thanks
 
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momentum is conserved
momentum is mass * velocity
 
253.5*6.9=1749.15/6.8=-257.22

i think the answer should be negative or so I am told?
 

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