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A sled is being held at rest on a slope that makes an angle theta with the horizontal. After the sled is released, it slides a distance d_1 down the slope and then covers the distance d_2 along the horizontal terrain before stopping. Find the coefficient of kinetic friction mu_k. Use your pictorial representation and the energy bar chart to obtain the necessary equations. Express the coefficient of kinetic friction in terms of the given quantities. You may or may not use all of them. (See attached for the energy bar chart.)
Ff = Frictional force.
Let h be the height of the sled on top of the slope.
Sin (theta) = h/d_1
On the top, all energy is PE = mgh = ...
The solution is given step-by-step.