A force of 150 N accelerates a 25 kg wooden chair across a wood floor at 4.3 m/s2. How big is the frictional force on the block? What is the coefficient of friction between the chair and floor?

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Physics

Edwards

25 April, 06:37

A force of 150 N accelerates a 25 kg wooden chair across a wood floor at 4.3 m/s2. How big is the frictional force on the block? What is the coefficient of friction between the chair and floor?

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Kendal Maxwell · Answer 1

We can first calculate the net force using the given information.

By Newton's second law, F (net) = ma:

F (net) = 25 * 4.3 = 107.5

We can now calculate the frictional force, f, which is working against the applied force, F (app) (this is why the net force is a bit lower):

f = F (net) - F (app) = 150 - 107.5 = 42.5 N

Now we can calculate the coefficient of friction, u, using the normal force, F (N):

f = uF (n) - - > u = f/F (N)

u = 42.5/[25 (9.8) ]

u = 0.17