Suppose there is a box of books with a mass of 15 kg resting on a flat horizontal table, and that the coefficient of static friction between the wooden table and the cardboard box is 0.5. 1. What is the total force on the box as it sits on the table at rest? 2. At a minimum, how much force do you have to apply to lift the box off the table vertically? 3. At a minimum, how much force do you have to apply to shift the box horizontally across the table? 4. If someone lifts one side of the table so that its surface is not level, at what angle would the table top be to the horizontal when the box starts to slide off? 5. Will it make a difference what the total mass of the box is to the angle at which it starts to slide? 6. Try this experiment yourself. That is, find a small box (cereal perhaps) and put it on a table or flat wood surface. Raise one side. At what angle do you find that it starts to slide? When you answer this part, provide details about what you did and how you measured the angle. Comment on whether it agrees with what you found in the numerical exercise for the first part of this homework.