On a perfectly calm day, you are on a small sailboat in the middle of a lake. There is no wind at all, so the sailboat is stationary. You try pushing on the mast to make the boat move forward. What happens: does the sailboat move forward or not? Explain your answer carefully, using the concepts of force, acceleration, Newton’s laws, etc. to give a convincing answer. (Hints: It will help to draw a diagram showing the forces acting on you, and a separate one showing the forces acting on the boat. Also, note that because the sailboat is not moving in the water, the water does not apply any force of friction on the boat.)