Plank ice 'L > Allie (mass ml = 66 kg) and Josh (mass M; = 99 kg) are initially standing still at opposite ends of a plank of length L n 6.! m and mass M - 23 kg. with Allie at the left end and Josh at the right end. The plank is initially at rest on smooth ice (a frictionless horizontal surface). 22 J Suppose Josh stands still while Allie walks all the way to the right end of the plant: to give him a hug. What is the displacement of the plan]: from its initial position as they are hugging? (The +-x direction is toward the tight in the picture). a. A: = -2.l4 m b. A: = 4.44 m c. A: = 4.52 m d. A: = -3.05 m e. A: = 2.44 m 23 J Suppose the mass of the plank was larger but everything else stayed the same. The distance moved by the plank would be: a. Smaller b. Bigger c. The same 24) Suppose instead that Allie walked to the right side of the plank to meet Josh, and then that Josh and Allie walked together hack to the left side of the plank. Which ofthe following statements best describes the movement of the plank? a. The plank moves to the left a distance D; and then to the right a distance .03. where DI, '> D}: b. The plant: moves to the tight a distance DR and then to the le a distance 01,. where D}: -c: D; c. The plank moves to the right a distance D}: and then to the left a distance 0;. when: DH :2 Dz. d. The plank moves to the left a distance Di, and then to the right a distance DR. where D;