Calculating Potential Energy of Spring at Point A on Incline

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SUMMARY

The discussion centers on calculating the potential energy stored in a spring when a wooden block with a mass of 1.50 kg is projected up a 30.0-degree incline after being released. The block travels 6.00 m up the incline, reaching a speed of 7.00 m/s at point B, while experiencing a kinetic friction coefficient of μk = 0.50. The correct calculation for the potential energy stored in the spring is confirmed to be 119 J, as stated in University Physics 11th edition, question 7.73 from Chapter 7. Key formulas discussed include the conservation of energy equation, which incorporates potential energy, kinetic energy, and work done by friction.

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Xtasy
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A wooden block with mass 1.50 kg is placed against a compressed spring at the bottom of an incline of slope 30.0 degrees (point A). When the spring is realeased, it projects the block up the inline. At point B, a distance of 6.00 m up the incline from A, the block is moving up the incline at 7.00 m/s and is no longer in contact with the spring. The coefficient of kinetic friction between the block and incline is μk = 0.50. The mass of the spring is negligible. Calculate the amount of potential energy that was initially stored in the spring. Answer at the back of the book is 119 J.
This question is from University Physics 11th edition ques. 7.73 from Chapter 7.
I have been trying to do this question for like 3 hours and is sarting to piss me off:mad: . I am using the formula:

(PEb + PEs + KE)i + Wother = (PEb + PEs + KE)f
PEb= pot. enery. of block
PEs =pot. energy of spring
Woher= work other
i= initial
f= final
Since there is no kE initial i said its 0 and since there is PEb & PEs final i said its 0. So I hae
mgxsintheta + PEs + μmgcostheta = (1/2) mv^2
Plugged in values and tried to solve for PEs but can't get 119J. I have simiar problem due (with the values different) that is due in about a hour and half. So need help fast!
 
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Xtasy said:
I am using the formula:

(PEb + PEs + KE)i + Wother = (PEb + PEs + KE)f
That's OK, as long as you realize that that Wother (the work done by friction) is negative--friction reduces the total mechanical energy.
PEb= pot. enery. of block
PEs =pot. energy of spring
Woher= work other
i= initial
f= final
Since there is no kE initial i said its 0 and since there is PEb & PEs final i said its 0.
If you call the initial PEb = 0, then the final PEb cannot be zero; if you call the final PEb = 0, then the initial PEb will be negative. The final spring PE will be zero.
So I hae
mgxsintheta + PEs + μmgcostheta = (1/2) mv^2
Redo this equation in the light of my comments above.
 

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