Conservation of Energy object of mass

AI Thread Summary
An object of mass m slides down a frictionless incline and compresses a spring after traveling a distance d. The problem involves equating the work done by gravity to the work done on the spring. The relevant equations include the work of the spring, Wspring = 1/2kx^2, and the work done by gravity, W = F*d. The initial attempt to solve the problem involved setting these two equations equal, but the user later resolved the issue independently. The discussion highlights the application of conservation of energy principles in mechanics.
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[SOLVED] Conservation of Energy

Homework Statement


An object of mass m starts from rest and slides a distance d down a frictionless incline of angle . While sliding, it contacts an unstressed spring of negligible mass as shown in Figure P8.10. The object slides an additional distance x as it is brought momentarily to rest by compression of the spring (of force constant k). Find the initial separation d between object and spring. (Use theta for , g for acceleration due to gravity, and m, k and x as necessary.)

http://img214.imageshack.us/my.php?image=p810uu0.gif

Homework Equations



Wspring = 1/2kx^2
W = F*d

The Attempt at a Solution



I thought that the work of the spring would equal the work of gravity. so I set the two equations equal to one another, but apparently that is wrong.
 
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