You push a box along the floor against a constant force of friction. When you push with a horizontal force of 72 N the acceleration of the box is 0.43 m/s2; when you increase the force to 77 N the acceleration is 0.58 m/s2.

(a) Find the mass of the box.

(b) Find the coefficient of kinetic friction between the box and the floor.

1 answer

Solve the following pair of equations simltaneously:

72 - f = M * 0.43

77 - f = M * 0.58

f is the friction force.

Subtract the first equation from the second:

5 = 0.15 M
M = 33.33 kg

Then solve for f. Use either of the first two equations and plug in the value for M

The coefficient of friction is f/(M*g)