How to Calculate Work and Power in a Mass Spring System

AI Thread Summary
To solve the mass-spring system problem, first apply the conservation of energy principle to determine the work done by the spring and the work done against friction. The spring's potential energy can be calculated using the formula U = (1/2)kx², where k is the spring constant and x is the compression distance. For the block's sliding distance before stopping, consider the kinetic friction force, which can be calculated using F_friction = μmg, where μ is the coefficient of friction. The power dissipated by friction can be found by dividing the work done by friction by the time taken to stop. This approach integrates fundamental physics equations to yield the desired results.
Harshmau5
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Homework Statement



consider a mass spring system mounted on a horizontal surface. The left end of the spring is rigidly mounted, and the spring constant is 27 N/m. A block with a mass of 7 kg is placed on the right side of the spring and compresses the spring a distance of .15 m. The region on the horizontal surface under the spring from the barrier on the left side to the equilibrium length of the spring is frictionless. The region of the horizontalsurface to the right of the equilibrium length of the spring has a coefficient of kinetic friction equal to .55.
A. How far does the block slide before it stops?
B. How much work is done on the block by the spring? How much work is done on the block by friction?
C. What is the power dissipated by friction?

Homework Equations


Conservation of energy
Work

The Attempt at a Solution

 
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So, where is your work?
 
I have about two pages of work.. Too much to post..
 
I've tried so many different things I'm just going in circles.. I've been working on this the past two days..
 
Note that problems or attempted solutions should not be posted as image attachments or links.
This what I have after restartingrestarting
 

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I could really use any help..
 
Dr.D said:
So, where is your work?

How would you approach it?
 
Have you thought about writing F = m*a? That's a good place to start.
 

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