In the figure, a stuntman drives a car (without negative lift) over the top of a hill, the cross section of which can be approximated by a circle of radius R = 285 m. What is the greatest speed at which he can drive without the car leaving the road at the top of the hill? Number i 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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In the figure, a stuntman drives a car (without negative lift) over the top of a hill, the cross section of which can be approximated by a circle of radius \( R = 285 \, \text{m} \). What is the greatest speed at which he can drive without the car leaving the road at the top of the hill?

Below the text, there is a diagram showing a car at the top of a hill shaped like a segment of a circle. The circle's radius is marked as \( R \). The road surface appears as a smooth curve, and the center of the circular path is indicated by a dotted line extending from below the road to a point directly below the car.

At the bottom of the image are input fields labeled "Number" with an information icon, and "Units" with a dropdown menu.
Transcribed Image Text:In the figure, a stuntman drives a car (without negative lift) over the top of a hill, the cross section of which can be approximated by a circle of radius \( R = 285 \, \text{m} \). What is the greatest speed at which he can drive without the car leaving the road at the top of the hill? Below the text, there is a diagram showing a car at the top of a hill shaped like a segment of a circle. The circle's radius is marked as \( R \). The road surface appears as a smooth curve, and the center of the circular path is indicated by a dotted line extending from below the road to a point directly below the car. At the bottom of the image are input fields labeled "Number" with an information icon, and "Units" with a dropdown menu.
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