Spring, rоugh flооr, аnd rаmp (10 points) A 2.00 kg block is releаsed from a spring compressed by 0.350 m (spring constant 500 N/m ). The block travels without friction while in contact with the spring. After it leaves the spring, it crosses 1.50 m of rough, level floor with μk = 0.200 . It then climbs a frictionless ramp and stops momentarily at its highest point. The rough distance starts after the block leaves the spring. Use g = 9.80 m/s² . A student who ignores friction predicts a rise of 1.56 m . Show your work. Sketch the setup and draw energy bars for three moments: before release, at the bottom of the ramp, and at the highest point. Include spring, kinetic, gravitational, and dissipated energy. (2 pts) Find the initial spring energy and the work done by friction on the rough floor. Explain why the work has that sign. (2 pts) Use your energy accounting to find the speed at the foot of the ramp. (2 pts) Find the greatest vertical rise above the foot of the ramp. Why is the ramp angle not needed? (2 pts) A student ignores friction and gives the height shown below. Explain what is missing, calculate how far their height is off, and correct the energy bars. (2 pts) Upload ONE PDF at the end of the exam containing all of your written solutions. Do not upload a separate file for this question.
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