Suppose that you want to move a heavy box with mass 30.0 kg across a carpeted fl

Question

Suppose that you want to move a heavy box with mass 30.0 kg across a carpeted floor. You try pushing hard on one of the edges, but the box does not move. Suppose that you are pushing against the box from an angle 30.0 above horizontal with a force of magnitude 240 N. What is the magnitude of the friction force acting on the box?

What is the magnitude f of the force of friction?

Recall that although magnitudes are always positive, you will be working with components, which may be positive or negative. Also, be sure not to mix x and y components into the same equation.

Explanation / Answer

Since the box was dragged along horizontal surface then

then frictional force always opposses the relative motion between the objects then friction force is equal to F*cos(theta)

frictional force f = F*cos(theta) = 240*cos(30) = 207.84 N

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