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In the figure, a block of mass m = 14 kg is released from rest on a frictionless incline of angle θ = 27°. Below the block is a spring that can be compressed 2.3 cm by a force of 270 N. The block momentarily stops when it compresses the spring by 6.9 cm.
(a) How far does the block move down the incline from its rest position to this stopping point?
(b) What is the speed of the block just as it touches the spring?
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