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A piano has a mass of 185 kg, and the coefficient of friction between it and the floor is 0.39. What is the maximum force of friction between the piano and the floor?

A. 707 N
B. 523 N
C. 1813 N
D. 1208 N

Answer :

The mass of the piano is 185 kg, therefore its weight is
W = (185 kg)*(9.8 m/s²) = 1813 N

The normal reaction force on the piano from the floor is N = 1813 N, according to Newton's 3rd Law.

The coefficient of friction between the piano and the floor is given as μ = 0.39.

By definition, the frictional force is
F = μN
= 0.39*1813
= 707.07 N

Answer: 707 N

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