This sheet already has the answers however I would like to know what to do to get these answers. I uploaded the picture that goes with the questions here. I'd like to know all of the work and formulas used to get each answer in this problem. I would greatly appreciate the help! :) I will copy the questions and answers down below.a) What is the speed of the car at point B? 6 m/sb) What is the speed of the car at point C? 305 m/sc) What is the speed of the car at point D? 04 m/sd) What is the force applied by the surface of the loop on the car at point B? 8,820 Ne) What is the force applied by the surface of the loop on the car at point C? 4 N # Roller Coaster Physics Problem## Problem StatementA 900.0 kg roller coaster car starts from rest at point A, rolls down the track, goes around a loop (points B and C), and then flies off the inclined part of the track (point D). The dimensions are:- Height from point A: \( H = 80.0 \, \text{m} \)- Radius of the loop: \( r = 15.0 \, \text{m} \)- Height of the incline at point D: \( h = 10.0 \, \text{m} \)- Angle of the incline: \( \theta = 30.0^\circ \)## Diagram DescriptionThe diagram depicts a roller coaster track with four key points:- **Point A**: The starting point at the top of a hill.- **Point B and C**: Lower points where the coaster goes through a vertical loop.- **Point D**: Where the coaster exits the loop and goes up an incline.The track is marked with the heights and angles relevant for calculations.## Questions and Answersa) **What is the speed of the car at point B?** - **Answer**: \( 39.6 \, \text{m/s} \)b) **What is the speed of the car at point C?** - **Answer**: \( 31.305 \, \text{m/s} \)c) **What is the speed of the car at point D?** - **Answer**: \( 37.04 \, \text{m/s} \)d) **What is the force applied by the surface of the loop on the car at point B?** - **Answer**: \( 8,820 \, \text{N} \) *Hint: Uses Normal force*e) **What is the force applied by the surface of the loop on the car at point C?** - **Answer**: \( 49,976.4 \, \text{N} \) *Uses Centripetal Force \((F_c = \frac{m \times v^2}{r})\) and gravitational force*This problem combines concepts of energy conservation, centripetal force, and dynamics on an inclined plane.

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Answered: a) What is the speed of the car at…

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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This sheet already has the answers however I would like to know what to do to get these answers. I uploaded the picture that goes with the questions here. I'd like to know all of the work and formulas used to get each answer in this problem. I would greatly appreciate the help! :) I will copy the questions and answers down below.

a) What is the speed of the car at point B? 6 m/s
b) What is the speed of the car at point C? 305 m/s
c) What is the speed of the car at point D? 04 m/s
d) What is the force applied by the surface of the loop on the car at point B? 8,820 N
e) What is the force applied by the surface of the loop on the car at point C? 4 N

# Roller Coaster Physics Problem

## Problem Statement

A 900.0 kg roller coaster car starts from rest at point A, rolls down the track, goes around a loop (points B and C), and then flies off the inclined part of the track (point D). The dimensions are:
- Height from point A: \( H = 80.0 \, \text{m} \)
- Radius of the loop: \( r = 15.0 \, \text{m} \)
- Height of the incline at point D: \( h = 10.0 \, \text{m} \)
- Angle of the incline: \( \theta = 30.0^\circ \)

## Diagram Description

The diagram depicts a roller coaster track with four key points:
- **Point A**: The starting point at the top of a hill.
- **Point B and C**: Lower points where the coaster goes through a vertical loop.
- **Point D**: Where the coaster exits the loop and goes up an incline.

The track is marked with the heights and angles relevant for calculations.

## Questions and Answers

a) **What is the speed of the car at point B?**
- **Answer**: \( 39.6 \, \text{m/s} \)

b) **What is the speed of the car at point C?**
- **Answer**: \( 31.305 \, \text{m/s} \)

c) **What is the speed of the car at point D?**
- **Answer**: \( 37.04 \, \text{m/s} \)

d) **What is the force applied by the surface of the loop on the car at point B?**
- **Answer**: \( 8,820 \, \text{N} \)

*Hint: Uses Normal force*

e) **What is the force applied by the surface of the loop on the car at point C?**
- **Answer**: \( 49,976.4 \, \text{N} \)

*Uses Centripetal Force \((F_c = \frac{m \times v^2}{r})\) and gravitational force*

This problem combines concepts of energy conservation, centripetal force, and dynamics on an inclined plane.

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