College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![### Problem: Calculating Force on a Roller-Coaster Car
**Required Information**
A roller-coaster car of mass 315 kg (including passengers) travels around a horizontal curve of radius 36.6 m. Its speed is 10.6 m/s.
**Question**
What is the magnitude of the total force exerted on the car by the track?
\[ \square \, \text{N} \]
Use the principles of circular motion to determine the force acting on the roller-coaster car. Typically, this involves calculating the centripetal force required to keep the car moving in a circle.
### Additional Explanation
To solve for the force exerted on the car by the track (centripetal force), use the formula:
\[ F = \frac{mv^2}{r} \]
Where:
- \( F \) is the centripetal force,
- \( m = 315 \, \text{kg} \) (mass of the car),
- \( v = 10.6 \, \text{m/s} \) (velocity of the car),
- \( r = 36.6 \, \text{m} \) (radius of the curve).
Fill in your calculated result in the provided box.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86d5b315-251b-4afc-ade8-02046d912aca%2F2c8386e2-e48a-4dba-b2ec-35d6c50653f5%2Ffnkmw97_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem: Calculating Force on a Roller-Coaster Car
**Required Information**
A roller-coaster car of mass 315 kg (including passengers) travels around a horizontal curve of radius 36.6 m. Its speed is 10.6 m/s.
**Question**
What is the magnitude of the total force exerted on the car by the track?
\[ \square \, \text{N} \]
Use the principles of circular motion to determine the force acting on the roller-coaster car. Typically, this involves calculating the centripetal force required to keep the car moving in a circle.
### Additional Explanation
To solve for the force exerted on the car by the track (centripetal force), use the formula:
\[ F = \frac{mv^2}{r} \]
Where:
- \( F \) is the centripetal force,
- \( m = 315 \, \text{kg} \) (mass of the car),
- \( v = 10.6 \, \text{m/s} \) (velocity of the car),
- \( r = 36.6 \, \text{m} \) (radius of the curve).
Fill in your calculated result in the provided box.
![## Problem Statement:
A roller-coaster car of mass 315 kg (including passengers) travels around a horizontal curve of radius 36.6 m. Its speed is 10.6 m/s.
**Question:**
What is the direction of the total force exerted on the car by the track? Enter a positive angle if the direction is above horizontal and a negative answer if the direction is below horizontal.
[Input box for angle]
---
This problem requires understanding of concepts like centripetal force and its direction in circular motion.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F86d5b315-251b-4afc-ade8-02046d912aca%2F2c8386e2-e48a-4dba-b2ec-35d6c50653f5%2Fmgchg8f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:## Problem Statement:
A roller-coaster car of mass 315 kg (including passengers) travels around a horizontal curve of radius 36.6 m. Its speed is 10.6 m/s.
**Question:**
What is the direction of the total force exerted on the car by the track? Enter a positive angle if the direction is above horizontal and a negative answer if the direction is below horizontal.
[Input box for angle]
---
This problem requires understanding of concepts like centripetal force and its direction in circular motion.
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