- #1
Gregg
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Homework Statement
The diagram shows part of the track of aroller coaster ride, which has been modeled as numbner of straight lengths of track. The roller coaster's carriages are modeled as a particle of mass 400kg which can negotiate bends A, B, C and D without any loss of speed. The speed of the roller coaster as A is 3m/s and at B it is 10m/s.
(a) Show that the work done against the resistance forces as the roller coaster moves from A to B is approx 8610J and use this to find the magnitude of the resistance forces assuming that they are constant.
The diagram shows a roller coaster. The relevant piece of the picture is that A is at the top of a slope and B is it the bottom. The length of the hypotenuse of these triangle (i.e. the distance from A to B) is 20m, and the incline is 20 degrees.
The Attempt at a Solution
Loss in PE = Gain in KE + Loss due to resistance
mgh = 1/2 mv^2 + R
400x9.81x20sin(20) - 18200 = R
This is not 8610J ?