   Chapter 7, Problem 58AP

Chapter
Section
Textbook Problem

A roller coaster travels in a circular path, (a) Identify the forces on a passenger at the top of the circular loop that cause centripetal acceleration. Show the direction of all forces in a sketch, (b) Identify the forces on the passenger at the bottom of the loop that produce centripetal acceleration. Show these in a sketch, (c) Based on your answers to parts (a) and (b), at what point, top or bottom, should the seat exert the greatest force on the passenger? (d) Assume the speed of the roller coaster is 4.00 m/s at the top of the loop of radius 8.00 m. Find the force exerted by the seat on a 70.0-kg passenger at the top of the loop. Then, assume the speed remains the same at the bottom of the loop and find the force exerted by the seat on the passenger at this point. Are your answers consistent with your choice of answers for parts (a) and (b)?

(a)

To determine
The forces on the passengers when the roller coaster is at the top of the circular loop.

Explanation

Given info: The roller coaster is moving in a circular path.

Explanation:

When the passenger is at the top of the circular loop, the net radial force must direct downward to provide the centripetal acceleration. In this stage the gravitational force on the passenger is acting downward...

(b)

To determine
The forces on the passengers when the roller coaster is at the bottom of the circular loop.

c)

To determine
Whether the seat is exerting greatest force on the passenger at the bottom or at the top of the circular loop.

d)

To determine
The force exerted by the seat on the passenger when the passenger is at the top of the circular loop.

e)

To determine
The force exerted by the seat on the passenger when the passenger is at the bottom of the circular loop.

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts 