A force of 24.0 N is required to start a 3.2 kg box moving across a horizontal concrete floor.

(a) What is the coefficient of static friction between the box and the floor?

(b) If the 24.0 N force continues, the box accelerates at 0.50 m/s2. What is the coefficient of kinetic friction?

2) ) A box sits at rest on a rough 30° inclined plane.Draw the free-body diagram, showing all the forces acting on the box. (Your instructor may ask you to turn this in.)

(b) How would the diagram change if the box were sliding down the plane?

(c) How would it change if the box were sliding up the plane after an initial shove?

3) A 1.8-kg silverware drawer becomes stuck, so the owner gradually pulls with more and more force. When the applied force reaches 7.4 N, the drawer suddenly opens, throwing all the utensils to the floor. Find the coefficient of static friction between the drawer and the cabinet.

4) A box is given a push so that it slides across the floor. How far will it go, given that the coefficient of kinetic friction is 0.23 and the push imparts an initial speed of 4.3 m/s?

5)A box weighing 70 N rests on a table. A rope tied to the box runs vertically upward over a pulley and a weight is hung from the other end

Determine the force that the table exerts on the box if the weight hanging on the other side of the pulley weighs one of the following:

34N

60N

103N

Or give me formulas. Assume I have to start from scratch.