Two masses attached to spring w/ pulley

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SUMMARY

The discussion revolves around a physics problem involving two masses, M = 1.7 kg and 2M, connected to a spring with a spring constant of k = 180 N/m. The problem requires calculating the combined kinetic energy of the blocks after the hanging block falls 0.090 m, the kinetic energy of the hanging block at that point, and the maximum distance the hanging block falls before stopping. Key equations include the conservation of energy (KEi + PEi = KEf + PEf) and the spring force equation (Fs = kx), which are essential for solving the problem.

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  • Understanding of conservation of energy principles in mechanics
  • Familiarity with spring dynamics and Hooke's Law
  • Knowledge of kinetic and potential energy calculations
  • Ability to analyze systems with multiple masses and forces
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Homework Statement



Two blocks, of masses M = 1.7 kg and 2M are connected to a spring of spring constant k = 180 N/m that has one end fixed, as shown in the figure below. The horizontal surface and the pulley are frictionless, and the pulley has negligible mass. The blocks are released from rest with the spring relaxed.

http://img686.imageshack.us/img686/1376/stupidness.jpg

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(a) What is the combined kinetic energy of the two blocks when the hanging block has fallen a distance of 0.090 m?

(b) What is the kinetic energy of the hanging block when it has fallen that 0.090 m?

(c) What maximum distance does the hanging block fall before momentarily stopping?


Homework Equations



KEi + PEi = KEf + PEf

Fs = kx


The Attempt at a Solution



I've tried to use the two masses as one system, and also have tried to separate them into two different systems. Neither way seems to be working for me, and I am just thoroughly confused. I would really like to believe that I only need a push in the correct direction.

Thanks for any help offered! :D
 
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You should first determine if the speeds and distance traveled by each block are the same. Then using your conservation of energy equation, applied to the system, should give you the answer. Be sure to consider both gravitational and spring potential energies associated with spring-block system. Please show the values you are using in your equation.
 

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