A \(0.25 \mathrm{kg}\) block is released from rest on a frictionless ramp from a height of \(1.40 \mathrm{m}\) above the ground. At the bottom of the ramp at ground level the block runs into and compresses a spring with spring constant \(k = 2.0 \mathrm{N / cm}\) . (a) How far does the spring compress upon the block's collision? (b) How far would the spring compress if instead the block were to lose \(40\%\) of its original mechanical energy due to friction with the ramp?
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