a car with a mass of 100 kg is on top of a slope of 30 degrees. if the car starts from rest and?
the length of the slope is 8 meters: a) what is the potential energy at the top of the slope? b) What is the speed of the trolley down the slope.
a) Since the potential energy gravity depends on the height we need to find what the height of the slope. h = 8 * sin 30 ° = 8 * h 0.5 m = 4 U = mgh = 100 * 9.81 * 4 = 3924 J b) Use the angle and weight to find the weight component parallel to the plane. * F = mg sin 30 ° = 490.5 N = 490.5/100 = 4.905 m / s ^ 2 v ^ 2 = v0 ^ 2 + 2AD v ^ 2 = 0 + 2 * 4905 * 8 v = sqrt (2 * 4.905 * 
= 8.858 m / s as fast if you apply conservation of energy: KE = PE * 0.5 mv ^ 2 = mgh v = sqrt (2GH) where h = 4 m, as we saw in subsection (a).
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