### Problem: Calculating Force on a Roller-Coaster Car**Required Information**A roller-coaster car of mass 315 kg (including passengers) travels around a horizontal curve of radius 36.6 m. Its speed is 10.6 m/s.**Question**What is the magnitude of the total force exerted on the car by the track?\[ \square \, \text{N} \]Use the principles of circular motion to determine the force acting on the roller-coaster car. Typically, this involves calculating the centripetal force required to keep the car moving in a circle.### Additional ExplanationTo solve for the force exerted on the car by the track (centripetal force), use the formula:\[ F = \frac{mv^2}{r} \]Where: - \( F \) is the centripetal force,- \( m = 315 \, \text{kg} \) (mass of the car),- \( v = 10.6 \, \text{m/s} \) (velocity of the car),- \( r = 36.6 \, \text{m} \) (radius of the curve).Fill in your calculated result in the provided box. ## Problem Statement:A roller-coaster car of mass 315 kg (including passengers) travels around a horizontal curve of radius 36.6 m. Its speed is 10.6 m/s.**Question:**What is the direction of the total force exerted on the car by the track? Enter a positive angle if the direction is above horizontal and a negative answer if the direction is below horizontal.[Input box for angle]---This problem requires understanding of concepts like centripetal force and its direction in circular motion.

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Science

Physics

luding passengers) travels around a

College Physics

10th Edition

ISBN:9781285737027

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And The Law Of Gravity

Section: Chapter Questions

Problem 30P: A pail of water is rotated in a vertical circle of radius 1.00 m. (a) What two external forces act...

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