Question 13 3 Points A large plate of mass m=0.800 kg is dropped and breaks into three pieces on a frictionless ground. Using the data shown in Fig. 3.1, (a) find the magnitude and direction of the velocity of the third piece after collision. If the plate is dropped into a cart of mass 4.20 kg moving at a speed v=3.00 m/s on a frictionless ground, as shown in Fig. 3.2, (b) what is the speed of the cart if the plate lands on the cart without breaking apart? (c) While the cart continues to move forward at the speed determined in (b), if the plate is thrown horizontally backward from the cart with a speed 5.00 m/s relative to the ground after the plate landed on the cart, as shown in Fig. 3.3, what is the speed of the cart after the plate is thrown backward? (d) While the cart continues to move forward at the speed determined in (b), if the plate is thrown backward from the cart in the direction 30.0 above the horizontal with a speed 5.00 m/s relative to the ground after the plate landed on the cart, as shown in Fig. 3.4, what is the speed of the cart after the plate is thrown backward? m1 = 0.200 kg 1011 = 3.00 m/s 30.0 30.09_ _ 0 X m2 = 0.300 k |v21 = 5.00 m/s 30.0 Fig. 3.1: top view Fig. 3.2 Fig. 3.3 Fig. 3.4