A roller-coaster at a theme park is designed so that a 70 kg rider in a car at the top of a circu point B travels at 10 ms-1. The part of the track at point B has a radius of 20 m as shown in t diagram below. h A 5 ms¹ ing AN B 10 ms¹¹ Jong 20m

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Chapter1: Units, Trigonometry. And Vectors
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A roller-coaster at a theme park is designed so that a 70 kg rider in a car at the top of a circula
point B travels at 10 ms-1. The part of the track at point B has a radius of 20 m as shown in the
diagram below.
In
5 ms¹
Yung
h
пи
10 ms.¹
B
Jong
20m
Ignore the effects of air resistance and friction between the wheels of the car and the track.
(a) Calculate the normal reaction force the rider in a car feels at the top of the circular point
B.99⁹
-1 100
(b) Calculate the height h required for the car and the rider to have a speed of 10 ms
Transcribed Image Text:A roller-coaster at a theme park is designed so that a 70 kg rider in a car at the top of a circula point B travels at 10 ms-1. The part of the track at point B has a radius of 20 m as shown in the diagram below. In 5 ms¹ Yung h пи 10 ms.¹ B Jong 20m Ignore the effects of air resistance and friction between the wheels of the car and the track. (a) Calculate the normal reaction force the rider in a car feels at the top of the circular point B.99⁹ -1 100 (b) Calculate the height h required for the car and the rider to have a speed of 10 ms
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