The mass of the rollercoaster car is 110 kg. Dimension A is 11.6 m. Dimension B
ID: 2065853 • Letter: T
Question
The mass of the rollercoaster car is 110 kg.
Dimension A is 11.6 m.
Dimension B is 3.4 m
The car starts from rest and coasts down the hill from point 1 to point 4.
a. If the rollercoaster has no friction, find the following, taking the ground as the reference point for potential energy: (i)Potential energy at point 1: J
(ii)Kinetic energy at point 1: J
(iii)Total energy at point 1: J
(iv)Total energy at point 2: J
(v)Potential energy at point 2: J
(vi)Kinetic energy at point 2: J
(vii) Speed of the coaster at point 2: m/sec b. Using the same concept as you used for part a (conservation of energy), find the speed of the coaster at point 4...
m/sec
Explanation / Answer
(i) P1 = mgh1 = (110kg)(9.8 m/s2)(11.6m) = 12504.8J
(ii) KE1 = mv12/2 = 110kg*02/2 = 0
(iii) TE1 = P1+ KE1 = 12504.8J + 0 = 12504.8J
(iv) TE2 = TE1 = 12504.8J
(v) P2 = mgh2 = (110kg)(9.8 m/s2)(3.4m) = 3665.2J
(vi) KE2 = TE2 - P2 = 12504.8J - 3665.2J = 8839.6J
(vii) v2 = (2KE2/m) = (2*8839.6J/110kg) = 12.68 m/s
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