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

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

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