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Conservation of energy: Numerical calculations

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Problem

A 4.0kg box is released from rest on a frictionless ramp. The box slides from the ramp onto a rough horizontal surface with a friction coefficient μk=0.50. The box slides 2.0m horizontally until it stops.
At the left side is a box labeled m on a ramp that slopes down and to the right. The box is at height y_0 up the ramp. At the bottom of the ramp is a rough horizontal surface. A second box is to the right side of the diagram. An arrow points from the box on the left to the box on the right by flowing the ramp and level surface. A black arrow points rightwards along the horizontal surface to the box on the right and is labeled d.
What height was the box on the ramp?
Round answer to two significant digits.
  • Your answer should be
  • an exact decimal, like 0.75
m
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