   Chapter 4, Problem 27P

Chapter
Section
Textbook Problem

A horse is harnessed to a sled having a mass of 236 kg, including supplies. The horse must exert a force exceeding 1 240 N at an angle of 35.0° in order to get the sled moving. Treat the sled as a point particle, (a) Calculate the normal force on the sled when the magnitude of the applied force is 1 240 N. (b) Find the coefficient of static friction between the sled and the ground beneath it. (c) Find the static friction force when the horse is exerting a force of 6.20 × 102 N on the sled at the same angle.

(a)

To determine
The normal force on the sled.

Explanation

Given Info: Mass of the sled is 236 kg. Angle at which the force is applied is 35ο . Applied force is 1240 N.

The free body diagram is given below.

From the above diagram, the normal force is,

N=mgFsin35°

• m is the mass of the sled.
• F is the applied force.
• g is the acceleration due to gravity.

Substitute 1240 N for F, 9.8ms2 for g and 236 kg for m in the above expression to get N

(b)

To determine
The co-efficient of static friction between the sled and the ground.

(c)

To determine
The static friction force.

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