The roller-coaster car depicted in Figure Q3 has an empty mass of 700 kg. Additionally, the passenger inside has a mass of 75 kg. The car is released from rest at the top of the hill at A. Friction, mass of the wheels and the size of the car can be neglected.(a) Determine the minimum height of the hill crest (h) so that the car travels around inside of the loop without leaving the track.(b) Determine the maximum constant braking force which may be applied at B so that the car stops on the ground immediately after exiting the loop.(c) If the car is released from a different hill crest, with height 2.5h, how much is the car speed just before entering the loop? Q3. The roller-coaster car depicted in Figure Q3 has an empty mass of700 kg. Additionally, the passenger inside has a mass of 75 kg. Thecar is released from rest at the top of the hill at A. Friction, mass ofthe wheels and the size of the car can be neglected.hA10 mBCFigure Q3(a) Determine the minimum height of the hill crest (h) so that thecar travels around inside of the loop without leaving the track.(b) Determine the maximum constant braking force which may beapplied at B so that the car stops on the ground immediatelyafter exiting the loop.(c) If the car is released from a different hill crest, with height 2.5h,how much is the car speed just before entering the loop?

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Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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The roller-coaster car depicted in Figure Q3 has an empty mass of 700 kg. Additionally, the passenger inside has a mass of 75 kg. The car is released from rest at the top of the hill at A. Friction, mass of the wheels and the size of the car can be neglected.

(a) Determine the minimum height of the hill crest (h) so that the car travels around inside of the loop without leaving the track.

(b) Determine the maximum constant braking force which may be applied at B so that the car stops on the ground immediately after exiting the loop.

(c) If the car is released from a different hill crest, with height 2.5h, how much is the car speed just before entering the loop?

Q3. The roller-coaster car depicted in Figure Q3 has an empty mass of
700 kg. Additionally, the passenger inside has a mass of 75 kg. The
car is released from rest at the top of the hill at A. Friction, mass of
the wheels and the size of the car can be neglected.
h
A
10 m
B
C
Figure Q3
(a) Determine the minimum height of the hill crest (h) so that the
car travels around inside of the loop without leaving the track.
(b) Determine the maximum constant braking force which may be
applied at B so that the car stops on the ground immediately
after exiting the loop.
(c) If the car is released from a different hill crest, with height 2.5h,
how much is the car speed just before entering the loop?

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