The mass of a roller coaster car, including the riders, is 518 kg. The path of a

Question

The mass of a roller coaster car, including the riders, is 518 kg. The path of a portion of the ride is shown in the diagram below. The radii of curvature at the three points A, B, and C are 18.8 m, 10.6 m, and 8.60 m, respectively. The car, which travels from right to left, has a speed of 12.8 m/s and 22.5 m/s at A and B, respectively.

(a) What is the force exerted by the track at these two locations? (Enter the magnitudes of the forces.)

At A: ?? N

At B: ?? N

(b) At what minimum speed will the car lose contact with the track at C? ??m/s

The mass of a roller coaster car, including the riders, is 518 kg. The path of a portion of the ride is shown in the diagram below. The radii of curvature at the three points A, B, and C are 18.8 m, 10.6 m, and 8.60 m, respectively. The car, which travels from right to left, has a speed of 12.8 m/s and 22.5 m/s at A and B, respectively. (a) What is the force exerted by the track at these two locations? (Enter the magnitudes of the forces.) At A: ?? N At B: ?? N (b) At what minimum speed will the car lose contact with the track at C? ??m/s

Explanation / Answer

at A

N=mg - m*v*v/r = 562.085 N

at B

N = mg + m*v*v/r= 29815.786 N

at C
for contact lose

N=0 = mg - m*v*v/r

v = 9.18 m/s

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