Solving Spring Slope Troubles w/ Frictionless Slope

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SUMMARY

The discussion focuses on a physics problem involving a spring on a frictionless slope, specifically analyzing the motion of a 0.5 kg book released from a compressed spring with a spring constant of 25 kg/s². The problem requires calculating the speed of the book after it has traveled 5 meters down the slope. It also explores the effect of doubling the book's mass on the speed calculated in part (a). The key equations referenced include the spring force equation, Fsp = -k(s), and energy conservation principles.

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Homework Statement



A spring at top of a 30 degree slope is compressed 0.5m by a 0.5 kg book. If the book is released, it will just reach the edge of the slope at the spring's equilibrium point, and then it will start to slide down the slope. Assume the spring constant is 25 kg/s^2. Assume X-direction and Y-direction mean left-right, up-down as usual.

a) If the slope is frictionless, what will be the speed of the book after it has traveled a distance 5 meters in the x direction?

b) IF the book's mass is doubled, does your answer for (a) change, and if so, by how much (b)?


Homework Equations



Fsp = -k(s)


The Attempt at a Solution



I have made a diagram of what the problem is trying to make me visualize. I understand physically what is going on but however I don't how to start off with a right equation. There is just too many unknowns that is given. Part B is straightforward, it's just Part A I'm running myself into a wall.
 
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Same as in the other spring problem you just posted. Check out the energy equations.
 

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