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A 4 kg block is pushed along the ceiling with a constant applied force of 85 N that acts at an angle of 55 degrees with the horizontal. The block accelerates to the right at 6 m/s^2. determine the coefficient of kinetic friction between the block and the ceiling.

The applied force in the direction of motion is 85 cos 55 = 48.75 N

The friction force that acts opposite to the direction of motion is

(F sin55 - M g)* (mu,k)

To solve for (mu,k), the coefficient of kinetic friction, solve the Newton's Second Law equation

Fnet = F cos55 -F sin55 + M g(mu,k]
= M a

You already know F, M, g and a.

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Christy

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    Michaela

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