Roller Coaster When riding a roller coaster, at the bottom of a hill you are momentarily rounding a curve with a radius of curvature R while you have a speed v. T₁ R Xil 4

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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Please refer to the picture when answering these questions. 

Question 1) Which direction do each of the following forces on you point? If a force does not act on you, leave it uncategorized. 

     UP ??????

     DOWN ???????

     LEFT ??????

     RIGHT ??????

possible answers for these directions... 

    A) The friction of the track on the cart 

    B) The normal force from the seat against you 

    C) The gravitational force 

    D) The normal force of the seatbelt against you 

    E) The centripetal force 

 

Question 2) If your mass is m, which of the following best represents your apparent weight (the weight that you feel) when you are in the cart at the bottom of the hill? 

    A) m v^2/R -mg

    B) m v^2/R + mg

    C) -m v^2/R + mg

    D) -m v^2/R - mg

**Roller Coaster**

When riding a roller coaster, at the bottom of a hill you are momentarily rounding a curve with a radius of curvature \( R \) while you have a speed \( v \).

**Diagram Explanation:**

The image illustrates a roller coaster on a track. The coaster is descending into the bottom of a hill, which is marked by a curve. The curve has a labeled radius of curvature \( R \). This section of the track is depicted as a part of a series of hills, emphasizing the dynamics of motion experienced at such points.
Transcribed Image Text:**Roller Coaster** When riding a roller coaster, at the bottom of a hill you are momentarily rounding a curve with a radius of curvature \( R \) while you have a speed \( v \). **Diagram Explanation:** The image illustrates a roller coaster on a track. The coaster is descending into the bottom of a hill, which is marked by a curve. The curve has a labeled radius of curvature \( R \). This section of the track is depicted as a part of a series of hills, emphasizing the dynamics of motion experienced at such points.
Expert Solution
Step 1

Given:

Radius of curvature

speed, v

To Find:

1. direction of forces

2. apparent weight in cart at bottom

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