Clay ball LIBI A 2 kg mass is suspended by an 80 cm rope. A 500 gram ball of clay is shot horizontally at the 2 kg mass with a velocity V's The clay collides inelastically with the 2 kg mass and has an instantaneous velocity of V after the collision. as shown in the diagram above (the figure shows that V is 1 4 m/'s, which is the average of the V's below). Use the following table of values to answer subsequent questions. Trials 1 2 3 4 5 6 17 V 1.33 1.57 1.39 1.37 1.29 141 1.44 (a) Using the average value of V, calculate the velocity, Ve, of the clay immediately before the collision. Show all your work. (0.5 +4 ) (0-2) = (0.512)V O.SV. = 2.5 (1.4) W - 7mis (b) Calculate the non-conservative work done as a result of the collision. W : DK = 2 ( m, + m. ) (v)" - (me) ( vo) ? = 1 (:5) (14) - 1 (0.5 ) ( 7)2 (c) Calculate the maximum tension in the pendulum during the subsequent motion. (d) Calculate the maximum angle, 0.... the pendulum will attain due to the collision described above. (e) The experiment is repeated but the ball of clay is swapped for a rubber ball with the same mass and velocity. The collision between the rubber ball and 2 kg mass is now elastic. Compare the maximum angle, Dem, following the clastic collision to 0.. from part (d). Greater than Same as De Less than 0.. Justify your