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

AI Thread Summary
The discussion centers on a physics problem involving a cannon on a frozen pond, where a 253.5 kg cannon fires a 6.8 kg cannonball horizontally, resulting in the cannon recoiling at 6.9 m/s. The conservation of momentum principle is applied to determine the cannonball's velocity after firing. Calculating the momentum before and after the shot, the equation 253.5 kg * 6.9 m/s = 6.8 kg * velocity of cannonball is used. The resulting calculation suggests the cannonball's velocity is -257.22 m/s, indicating it moves in the opposite direction to the cannon's recoil. The discussion highlights the importance of understanding momentum conservation in such scenarios.
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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?
 
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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