Verify that (left|Delta v_{mathrm{u} x} ight| /left|Delta v_{mathrm{s} x} ight| approx 1 / 3) for the two carts in Figure 4.9. Figure 4.9 Velocity-versus-time graph

Verify that \(\left|\Delta v_{\mathrm{u} x}\right| /\left|\Delta v_{\mathrm{s} x}\right| \approx 1 / 3\) for the two carts in Figure 4.9.

Figure 4.9 Velocity-versus-time graph for a standard cart and a cart of unknown inertia before and after the two collide on a low-friction track. The unknown inertia can be determined from the ratio of the carts' velocity changes. v, (m/s) 0.6 0.3 0 -0.3 standard cart collision unknown cart 20 40 40 60 180 ' S.X t (ms) 80 80 100! 120