You (m = 50 kg) are in a rollercoaster travelling at a constant speed of 50 mph when it goes over a hump which, at the top, can be approximated by a circle of radius 15 m. (A) Is the harness necessary in order for you to stay on the ride? In other words, if there was nothing keeping you in your seat, would you fly off? (B) If you answer to (A) is no, calculate the normal force at the top, if your answer to (A) is yes, calculate the force the harness must exert on you. (Remember that force is a vector so you have to indicate direction as well.) Hint for (A): 1. With what speed would you have to go over the hump in order for only gravity to be needed? 2. If your speed is larger, what do you think is going on?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter13: Gravitation
Section: Chapter Questions
Problem 49P: The “mean” orbital radius listed for astronomical objects orbiting the Sun is typically not an...
icon
Related questions
icon
Concept explainers
Question
You (m = 50 kg) are in a rollercoaster travelling at a constant speed of 50 mph when it goes over a hump which, at
the top, can be approximated by a circle of radius 15 m.
(A) Is the harness necessary in order for you to stay on the ride? In other words, if there was nothing keeping you
in your seat, would you fly off? (B) If you answer to (A) is no, calculate the normal force at the top, if your answer
to (A) is yes, calculate the force the harness must exert on you. (Remember that force is a vector so you have to
indicate direction as well.)
Hint for (A):
1. With what speed would you have to go over the hump in order for only gravity to be needed?
2. If your speed is larger, what do you think is going on?
Transcribed Image Text:You (m = 50 kg) are in a rollercoaster travelling at a constant speed of 50 mph when it goes over a hump which, at the top, can be approximated by a circle of radius 15 m. (A) Is the harness necessary in order for you to stay on the ride? In other words, if there was nothing keeping you in your seat, would you fly off? (B) If you answer to (A) is no, calculate the normal force at the top, if your answer to (A) is yes, calculate the force the harness must exert on you. (Remember that force is a vector so you have to indicate direction as well.) Hint for (A): 1. With what speed would you have to go over the hump in order for only gravity to be needed? 2. If your speed is larger, what do you think is going on?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Gravitational Force
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
University Physics Volume 1
University Physics Volume 1
Physics
ISBN:
9781938168277
Author:
William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:
OpenStax - Rice University