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2. Starting from rest, a block of mass m slides down a frictionless incline at angle...

2. Starting from rest, a block of mass m slides down a frictionless incline at angle θ(0◦ < θ < 90◦) where it runs into a spring of spring constant k. When the block momentarily stops, it has compressed the spring by distance x. Find expressions for

(a) the distance the block slides down the incline from when it is released to when it momentarily stops
(b) the distance between the point of the first block-spring contact and the point where the block’s speed is greatest.

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