A concrete highway curve of radius 80.0 m is banked at a 13.0° angle. Part A What is the maximum speed with which a 1900 kg rubber-tired car can take this curve without sliding? (Take the static coefficient of friction of rubber on concrete to be 1.0.) Express your answer with the appropriate units. Vma Value Units ?
A concrete highway curve of radius 80.0 m is banked at a 13.0° angle. Part A What is the maximum speed with which a 1900 kg rubber-tired car can take this curve without sliding? (Take the static coefficient of friction of rubber on concrete to be 1.0.) Express your answer with the appropriate units. Vma Value Units ?
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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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: Maximum Speed on a Banked Curve
A concrete highway curve of radius 80.0 meters is banked at a 13.0-degree angle.
#### Part A
**Question:**
What is the maximum speed with which a 1900 kg rubber-tired car can take this curve without sliding? (Take the static coefficient of friction of rubber on concrete to be 1.0.)
**Instructions:**
Express your answer with the appropriate units.
**Input Fields:**
- \( V_{\text{max}} = \) [Value] [Units]
**Action Buttons:**
- **Submit**
- **Request Answer**
In this problem, you are required to calculate the maximum speed a car can navigate a banked curve without slipping, considering the given angle of banking, radius of the curve, and the friction between rubber and concrete.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1bb54c50-d653-47f8-8cfc-545a4ed262e0%2F09adc056-e674-4125-a759-f22df9f67b4b%2Fj91mqh_processed.png&w=3840&q=75)
Transcribed Image Text:### Problem: Maximum Speed on a Banked Curve
A concrete highway curve of radius 80.0 meters is banked at a 13.0-degree angle.
#### Part A
**Question:**
What is the maximum speed with which a 1900 kg rubber-tired car can take this curve without sliding? (Take the static coefficient of friction of rubber on concrete to be 1.0.)
**Instructions:**
Express your answer with the appropriate units.
**Input Fields:**
- \( V_{\text{max}} = \) [Value] [Units]
**Action Buttons:**
- **Submit**
- **Request Answer**
In this problem, you are required to calculate the maximum speed a car can navigate a banked curve without slipping, considering the given angle of banking, radius of the curve, and the friction between rubber and concrete.
Expert Solution
Step 1
given-
mass of the car be m = 1900 kg
radius of the curve be r = 80 m
angle of banking be θ = 130
static coff. of friction = 1
Let the maximum speed be V
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