What is the solution to a box with a spring connected to it?

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SUMMARY

The discussion addresses a physics problem involving two blocks of mass M and 3M on a frictionless surface, connected by a spring. When the cord holding them together is burned, the block of mass 3M moves at a speed of 2.00 m/s. The solution confirms that momentum is conserved during the process, and the original elastic potential energy in the spring equals the total kinetic energy of both blocks. The mass M is specified as 0.350 kg, leading to a definitive conclusion about energy conservation in the system.

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[SOLVED] box with spring coneected

Homework Statement



2 Blocks of mass M and 3M are placed on a horizontal frictionless surface. A light spring is attatched to one of them and the blocks are pushed together with the spring between them. A cord initally holding the blocks together is burned; after that happens, the block of mass 3m moves to the right with a speed of 2.00m/s

a) What is the velocity of the block of mass M?

b)find system's original elastic potential E, taking the M= 0.350kg

c) Is the original energy in the spring or cord?

d) Is the momentum of the system conserved in the bursting-apart process?
How can it be with no motion beforehand and plenty of motion afterward?

http://img208.imageshack.us/img208/6215/boxwithstringsb5.th.jpg

Homework Equations



Ki= Kf

The Attempt at a Solution



[tex]SOLVED[/tex] (figured it out)
 
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In this system the total energy is conserved. Therefore PE of the spring is equal to the total KE of M and 3M. Here spring constant or amount of compression is not needed. While calculating cancel M.
 
Oh..I just figured that out while waiting for a response to my post.

Thanks :smile:
 

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