You have to design a loop-the-loop for a new amusement park so that when each car passes the top of the loop inverted (upside- down), each seat exerts a force against a passenger's bottom that has a magnitude equal to 1.5 times the gravitational force that Earth exerts on the passenger.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
Section: Chapter Questions
Problem 2OQ: The gravitational force exerted on an astronaut on the Earths surface is 650 N directed downward....
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You have to design a loop-the-loop for a new amusement park so
that when each car passes the top of the loop inverted (upside-
down), each seat exerts a force against a passenger's bottom that
has a magnitude equal to 1.5 times the gravitational force that Earth
exerts on the passenger.
Transcribed Image Text:You have to design a loop-the-loop for a new amusement park so that when each car passes the top of the loop inverted (upside- down), each seat exerts a force against a passenger's bottom that has a magnitude equal to 1.5 times the gravitational force that Earth exerts on the passenger.
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Write the equation for the speed of the car at the top of the loop using R for radius and m for mass

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