Chapter 11, Problem 66PQ

Two pucks in a laboratory are placed on an air table (Fig. P11.66). Puck 2 has four times the mass of puck 1 (m₂ = 4m₁). Initially, puck 1’s speed is three times puck 2’s speed (v_1i = 3v_2i), puck 1’s position is ${\stackrel{\to }{r}}_{1i}=-x_{1i}\hat{i}$, and puck 2’s position is ${\stackrel{\to }{r}}_{\text{2}i}=-y_{2i}\hat{j}$. The pucks collide at the origin.

1. a. Copy Figure P11.66 and then add ${\stackrel{\to }{v}}_{\text{CM}}$ to your sketch.
2. b. Does puck 2 travel a greater distance, lesser distance, or the same distance as puck 1?
3. c. Find an expression for y_2i in terms of x_1i.
4. d. If puck 1 moves 1.33 m, how far does puck 2 move before the collision?

FIGURE P11.66 Problems the origin.