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A 5 kg block is placed near the top of a frictionless ramp, which makes an angle of 30o degrees to the horizontal. A distance d = 1.3 m away from the block is an unstretched spring with k = 3000 N/m. The block slides down the ramp and compresses the spring. Find the magnitude of the maximum compression of the spring.
xmax=?

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conservation of energy (height difference (d+x)/2) 
m*g*(d+x)/2=1/2*k*x^2 
solve for x 
3000 x^2-49 x-63.7=0 

x= 0.154 m

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