The three air carts shown in Figure 9-16 have masses, reading from left to right, of 4m, 2...

The three air carts shown in Figure 9-16 have masses, reading from left to right, of 4m, 2m, and m, respectively. The most massive cart has an initial speed of v0;the other two carts are at rest initially. All carts are equipped with spring bumpers that give elastic collisions. (a) Find the final speed of each cart. (b) Verify that the final kinetic energy of the system is equal to the initial kinetic energy. (Assume the air track is long enough to accommodate all collisions.)

FIGURE 9-16 Problem