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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 friction渭kbetween 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鈥檚 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=鈭�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鈥檚 2nd law along y direction,

鈭�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=渭kN

Rewrite the formulas, substitute the values and solve as:

渭k=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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