Suppose that you want to move a heavy box with mass 30.0 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 . what is the magnitude of the friction force acting on the box?

The solution to the problem is as follows:
Normal force is m*g plus 240 N*sin30. 
30 kg*9.8 m/s^2 + 240 N*sin30 = 414 N

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