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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

A woman places her briefcase on the backseat of her car. As she drives to work, the car negotiates an unbanked curve in the road that can be regarded as an arc of a circle of radius 62.0 m. While on the curve, the speed of the car is 15.0 m/s at the instant the briefcase starts to slide across the backseat toward the side of the car. (a) What force causes the centripetal acceleration of the briefcase when it is stationary relative to the car? Under what condition does the briefcase begin to move relative to the car? (b) What is the coefficient of static friction between the briefcase and seat surface?

(a)

To determine
The force that cause the centripetal acceleration of the briefcase when it is stationary relative to the car.

Explanation

The force of static friction which is directed to the centre of the curvature is causing the centripetal acceleration of the briefcase when it is stationary relative to the car.

The brief case will be stationary up to a time with which the centripetal force will be less than or equal to the maximum static friction of the briefcase with the car seat,

Fc(fs)max

  • Fc is the centripetal force
  • fs is the frictional force

Use the expressions for centripetal and frictional force to rewrite the equation

(b)

To determine
The coefficient of static friction between the briefcase and the seat surface.

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