Answered: A 1800 kg car rounds a curve of radius…

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 8WUE: A car of mass 1 230 kg travels along a circular road of radius 60.0 m at 18.0 m/s. (a) Calculate the...

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A 1800 kg car rounds a curve of radius 68 m banked at an angle of 15°. What is the magnitude of the friction force
required for the car to travel at 90 km/h?

Expert Solution

Step 1

Answer:-

Given

Mass of a car (m) = 1800 kg

Radius (R) = 68 m

Angel (A) = 15^o

Speed of a car (V) = 90 km/h

V =[ (90 × 1000)/(60 × 60)] m/s

V = (90000/3600) m/s

Speed (V ) = 25 m/s

Acceleration due to gravity (g) = 9.8 m/s²

We know that

(mV²/r) = F + mg sinA

F = (mV²/r) - mg sinA

F = [1800 ×(25)²/68] - 1800 × 9.8 × sin15^o

F = [(1800 × 625)/68] - 1800 × 9.8 × 0.26

F = (1125000/68) - 4586.4

F = 16544.117 - 4586.4

F = 11957. 717 N

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