Projectile Mass & Energy: Solving for Speed in a Cannon Carrell

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SUMMARY

The discussion centers on the physics problem of determining the speed of a projectile with mass 2m when fired from a cannon carrell, given that a projectile of mass m exits with speed v. The key principle involved is the work-energy theorem, which states that the work done on an object is equal to its change in kinetic energy. Since both projectiles are subjected to the same force over the same distance, the work done on both is identical, leading to the conclusion that the speed of the second projectile can be derived from the relationship between mass and kinetic energy.

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Homework Statement



If a projectile of mass m leaves the carrell of a cannon with a speed v, at what speed will a projectile of mass 2m leave the barrel.

I think i need to use conservation of energy but I am not sure how!

Thanks
 
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Hint: Since the projectiles are fired over the same length of the carrell with the same force, and since work is force times the distance in the direction of the force, then the work done on the projectiles are the same in each case. Think about the work-energy theorem. Please show your attempt.
 

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