The coefficient of kinetic friction between gary's shoes and the wet kitchen floor is 0.09. if gary has a mass of 65 kg, what is the force of kinetic friction acting on him as he slides across the floor?

57 N

Explanation:

Draw a free body diagram.  There are three forces:

Weight force mg pulling down.

Normal force N pushing up.

Friction force F pushing horizontally.

Sum of the forces in the y direction:

∑F = ma

N − mg = 0

N = mg

Friction force is the product of normal force and coefficient of friction:

F = Nμ

F = mgμ

F = (65 kg) (9.8 m/s²) (0.09)

F = 57.3 N

Rounded, the friction force is 57 N.

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