Solved: A crate of mass M starts from rest at the top of a

Chapter 7, Problem 7.6

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A crate of mass M starts from rest at the top of a frictionless ramp inclined at an angle above the horizontal. Find its speed at the bottom of the ramp, a distance d from where it started. Do this in two ways: (a) Take the level at which the potential energy is zero to be at the bottom of the ramp with y positive upward. (b) Take the zero level for potential energy to be at the top of the ramp with y positive upward. (c) Why did the normal force not enter into your solution?

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