1. The force due to. a spring is variable and is quantified by F = kx, where k is the spring Pane constant and x is the displacement. Given the graph of the force versus displacement graph for a spring in Figure 5, determine: a. An expression for the work done by the spring using the area under the curve. F = kx X X = 0 X = X Figure 5: Force versus displacement of a spring. 2. Consider the ball example in the introduction when a ball is dropped from 3 meters. After the ball bounces, it raises to a height of 2 meters. The mass of the ball is 0.5 kg a. Calculate the speed of the ball right before the bounce. b. How much energy was converted into heat after the ball bounced off the ground? (Hint: Thermal Energy (TE) will now need to be included in your conservation of energy equation and you will now need to know the mass of the ball) c. Calculate the speed of the ball immediately after the ball bounces off the around. Focus -+ 166% ted States)