I. Solve the following problems completely: Show your complete solution and draw the graph. 1. A block of weight w hangs from a cord which is knotted at point 0 to two other cords fastened to the ceiling, which forms a right triangle. Let w = 50 N, 01 = 60 attached from the left end of the cord fastened to the ceiling, and 02 attached from the other end. Find the tension in these three cords. 2. A bicycle and its rider together have a mass of 176.4 1b. If the bicycle's speed is 6 m/sec, how much force is needed to bring it to a stop in 4 sec? What is the distance covered by the bicycle at the said time? 3. A crate of mass 1.20 slug initially at rest on a frictionless horizontal plane is acted on by a horizontal force of 160N. a. What acceleration was produced? b. How far will the crate travel in 10 seconds? c. What will be its velocity at the end of 10 seconds? d. What is the Normal Force of the crate