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Chapter 6: Q6P (page 140)

A baseball player with massm=79kg, sliding into second base, is retarded by a frictional force of magnitude470N.What is the coefficient of kinetic frictionμkbetween the player and the ground?

Short Answer

Expert verified

The coefficient of kinetic friction between the player and the ground is 0.61.

Step by step solution

01

Write the given information:

Mass,m=79kg

Frictional force,fs=470N

02

Determine the concept

The problem is based on Newton’s second law of motion which states that the rate of change of momentum of a body is equal in both magnitude and direction of the force acting on it.

Consider the formula for the second law of motion:

Fnet=∑ma

Here, F is the net force, mis mass and ais an acceleration

03

Determine thefree body diagram

Free body diagram of basketball player:

04

Determine the coefficient of kinetic friction

By using Newton’s 2nd law along y direction,

∑Fy=may

Since player is not moving along y.ay=0

N-mg=0N=mg

Relation between frictional force and Normal force is as follows:

fs=μkN

Rewrite the formulas, substitute the values and solve as:

μk=fsN=fsmg=470799.81=0.61

Hence, the coefficient of kinetic friction between the player and the ground is 0.61.

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Most popular questions from this chapter

A block slides with constant velocity down an inclined plane that has slope angle θ. The block is then projected up the same plane with an initial speedv0. (a) How far up the plane will it move before coming to rest? (b) After the block comes to rest, will it slide down the plane again? Give an argument to back your answer.

A2.5kgblock is initially at rest on a horizontal surface. A horizontal force of magnitudeand a vertical force are then applied to the block (Fig. 6-17).The coefficients of friction for the block and surface are μs=0.40and μK=0.25. Determine the magnitude of the frictional force acting on the block if the magnitude of P→is (a)8.0N, (b) 10N, and (c) 12N.

A box of canned goods slides down a ramp from street level into the basement of a grocery store with acceleration0.75m/s2directed down the ramp. The ramp makes an angle of40°with the horizontal. What is the coefficient of kinetic friction between the box and the ramp?

In Fig. 6-54, the coefficient of kinetic friction between the block and inclined plane is 0.20, and angle θis 60°. What are the

(a) magnitude aand

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A house is built on the top of a hill with a nearby slope at angleθ=45°(Fig. 6-55). An engineering study indicates that the slope angle should be reduced because the top layers of soil along the slope might slip past the lower layers. If the coefficient of static friction between two such layers is 0.5, what is the least angle ϕthrough which the present slope should be reduced to prevent slippage?
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