**Roller Coaster Physics Problem**In this problem, we consider a frictionless roller coaster car with a mass of \( m = 808 \, \text{kg} \). The car tops the first hill with an initial speed \( v_0 = 16.0 \, \text{m/s} \) at a height \( h = 40.0 \, \text{m} \). We aim to find:- The speed of the car at different points: - (a) Point A - (b) Point B - (c) Point C- (d) The maximum height the car will reach on the last hill, which is too high for the car to cross.**Diagram Explanation**The diagram shows a roller coaster track with several hills and valleys:- The car starts at the top of the "First hill."- The track includes several labeled points: A, B, and C.- Each point corresponds to a different hill, with heights marked as \( h \), \( h/2 \), and \( h/4 \). - The depiction illustrates the undulating path through these points, demonstrating changes in height and potential speed.**Calculations Needed**1. Use energy conservation principles to find the speed at each point.2. Determine the conversion between potential energy at different heights and kinetic energy.3. Calculate the maximum height possible on the last hill.Remember, gravitational acceleration \( g \) is given as \( 9.81 \, \text{m/s}^2 \).**Answer Fields**Provide the numerical answers in the fields corresponding to:- (a) Speed at Point A- (b) Speed at Point B- (c) Speed at Point C- (d) Maximum height on the last hillEach response requires the correct units for the value provided.

Name: **Roller Coaster Physics Problem**In this problem, we consider a fric
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Description: **Roller Coaster Physics Problem**In this problem, we consider a frictionless roller coaster car with a mass of \( m = 808 \, \text{kg} \). The car tops the first hill with an initial speed \( v_0 = 16.0 \, \text{m/s} \) at a height \( h = 40.0 \, \

initial height = h = 40 minitial velocity = V0 = 16 m/s

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In the figure, a frictionless roller coaster car of mass m = 808 kg tops the first hill with speed vo= 16.0 m/s at height h = 40.0 m. What is the speed of the car at (a) point A. (b) point B, and (c) point C? (d) How high will the car go on the last hill, which is too high for it to cross Use g=9.81 m/s². (a) Number i (b) Number First hill- Units Units h/2

In the figure, a frictionless roller coaster car of mass m = 808 kg tops the first hill with speed vo= 16.0 m/s at height h = 40.0 m. What is the speed of the car at (a) point A. (b) point B, and (c) point C? (d) How high will the car go on the last hill, which is too high for it to cross Use g=9.81 m/s². (a) Number i (b) Number First hill- Units Units h/2

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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Question

**Roller Coaster Physics Problem**

In this problem, we consider a frictionless roller coaster car with a mass of \( m = 808 \, \text{kg} \). The car tops the first hill with an initial speed \( v_0 = 16.0 \, \text{m/s} \) at a height \( h = 40.0 \, \text{m} \). We aim to find:

- The speed of the car at different points:
- (a) Point A
- (b) Point B
- (c) Point C
- (d) The maximum height the car will reach on the last hill, which is too high for the car to cross.

**Diagram Explanation**

The diagram shows a roller coaster track with several hills and valleys:

- The car starts at the top of the "First hill."
- The track includes several labeled points: A, B, and C.
- Each point corresponds to a different hill, with heights marked as \( h \), \( h/2 \), and \( h/4 \).
- The depiction illustrates the undulating path through these points, demonstrating changes in height and potential speed.

**Calculations Needed**

1. Use energy conservation principles to find the speed at each point.
2. Determine the conversion between potential energy at different heights and kinetic energy.
3. Calculate the maximum height possible on the last hill.

Remember, gravitational acceleration \( g \) is given as \( 9.81 \, \text{m/s}^2 \).

**Answer Fields**

Provide the numerical answers in the fields corresponding to:
- (a) Speed at Point A
- (b) Speed at Point B
- (c) Speed at Point C
- (d) Maximum height on the last hill

Each response requires the correct units for the value provided.

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