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

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###### Problem Details

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 from where it started. Do this in two ways.

Take the level at which the potential energy is zero to be at the bottom of the ramp with positive upward.

Take the zero level for potential energy to be at the top of the ramp with positive upward.

Why did the normal force not enter into your solution?