Cannon in a railway carriage; recoil

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The discussion focuses on a physics problem involving a cannon bolted to a railway carriage, analyzing the effects of firing a cannonball on the carriage's motion. Key points include the need to apply conservation of momentum to determine the recoil speed of the carriage immediately after firing and the subsequent velocity after the cannonball strikes the wall. Participants express uncertainty about how to approach the problem, specifically regarding the application of relevant equations. The problem requires calculating the net distance the carriage moves due to the firing of the cannon. Understanding these concepts is essential for solving the problem effectively.
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Homework Statement



A cannon is bolted to the floor of a railway carriage, which is free to move without friction along a straight track. The combined mass of the cannon and carriage is M=1200 kg. The cannon fires a cannonball, of mass m=1.2 kg, horizontally with velocity v=115 m/s. The cannonball travels the length of the carriage, a distance of 85 m, and becomes embedded in the carriage's end wall.

a. What is the recoil speed of the carriage right after the cannon is fired?

b. what is the velocity of the carriage after the cannonball strikes the far wall?

c. what net distance does the carriage move as a result of the firing of the cannon?

Homework Equations



dont know

The Attempt at a Solution



I really don't know how to start this problem.
 
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Can you apply conservation of momentum to the system before and after the cannon is fired?
 

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