3. Figure shows a device used by a student to launch marbles vertically upwards during a school experiment. The plunger is pulled down, a marble loaded as shown in the figure and plunger is released to launch the marble. tube marble Data: plunger spring constant = 610 N m-1 mass of marble = 4.1 g = 0.0041 kg mass of plunger = 35.4 g = 0.0354 spring WWWWWW In one attempt the plunger is pulled down by 4.5 cm. (a) Calculate the maximum possible launch velocity of the marble in this attempt. (3) kx2 = =mv2 (610)(0.045)3 = =(0.0041)vz V=17.4 (b) Calculate the maximum height that this marble will rise. (3) mgh = =mv2 (0.0041)(9.81)h = (0.0041)(17.4)2 H=15.43 (c) The actual launch velocity of the marble and the maximum height risen by the marble were measured using a light gate system connected to a computer. The measurements resulted in smaller values for the launch velocity and the maximum height than those calculated in (a) and (b) above. Explain why the measured values are smaller than the calculated values. (2)