Magnitude and direction of the total force exerted on a roller coaster car by the track

A roller coaster car of mass 320 kilograms(including passengers) travels around a horizontal curve of radius 35 meters. Its speed is 16 meters per second. What is the magnitude and direction of the total force exerted on the car by the track?

Solution Preview

If you think of the track as a circle, and the roller coaster as a ball travelling around the center of the circle, then you can find the centripetal acceleration of the rollercoaster, which is equal to v^2/r, or 7.3 m/s^2.

This acceleration is always heading away from the center of the circle, meaning the coaster car is exerting Fcentripetal = Fa = 320 * 7.3 = 2.34 kN of force on the tracks. Equivalently, the tracks must exert the same magnitude of ...

Solution Summary

The solution shows good explanations and calculations to arrive at the answer.

A 350 rollercoaster starts from rest at point A and slides down the frictionless loop, which is shown in the accompanying figure (see attachment)
How fast is this rollercoaster moving at point B? v = ? m/s
How hard does it press against thetrack at point B? F = ? N

A rollercoastercar starts from rest and rolls down a frictionless track, reaching speed v_f at the bottom.
a. If you want thecar to go two times as fast at the bottom, by what factor must you increase the height of thetrack?
b. Does the answer to part (a) depend on whether thetrack is straight or not? Explain.

The 65 kg man in therollercoastercar is sitting on a bathroom scale. If he is traveling at 40.4 m/s at the point shown andthe radius of the vertical coastertrack is 62 meters to the nearest newton, what does the scale read?
What would be the answer if therollercoaster was at the bottom of thetrack?
(See attached fi

At what minimum speed must a rollercoaster be traveling when upside down at the top of a circle if the passengers are not to fall out? Assume a radius of curvature of 9.27 m.

A rollercoaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of thecar pushing upward on her with a force equal to 2.3 times her weight as she goes through the dip. If r = 29.0 m, how fast is therollercoaster traveling at the bottom of the dip?

(See attached file for full problem description)
1. A rollercoaster ride at an amusement park lifts a car of mass 700kg to point A at a height of 90 m above the lowest point on thetrack, as shown above. Thecar starts from rest at point A, rolls with negligible friction down the incline and follows thetrack around a loop o

ROLLERCOASTER DESIGN
Designing a roler coaster is very tricky. Patrons of theme and amusement parks want to be thrilled , but generally do not want to be injured.
Downard accelerations of greater than 10 g cause bodily harm.
Negative (i.e upward) accelerations of greater than about 5 g also cause damage ( "red out")
The

Suppose therollercoaster in Fig. 8-29 (attached) (h1 = 32 m, h2 = 13 m, h3 = 20) passes point A with a speed of 3.00 m/s. If the average force of friction is equal to one fifth of its weight, with what speed will it reach point B? The distance traveled is 55.0 m.

A 1380 kg car is moving due east with an initial speed of 27.0 m/s. After 8.00 s thecar has slowed down to 17.0 m/s. What is themagnitudeanddirection of the net force that produces the deceleration.