(a) Are the changes in velocity in Figure 4.23 a equal in magnitude? Why or why not?

(b) Determine the velocity changes of the carts and verify that \(m_{1} / m_{2}=-\Delta v_{2 x} / \Delta v_{1 x}\) in Figure 4.23a.

(c) Determine the initial and final momenta of the two carts.

(d) What is the momentum of the system before the collision?

(e) After the collision? ( \(f\) ) Are the momentum changes equal in magnitude and opposite in direction? Why or why not?

Transcribed Image Text:

Figure 4.23 (a) Velocity-versus-time graph and (b) momentum-versus-time graph of two carts before and after the two collide on a low-friction track. The sum of the momenta is the same before and after the collision. The inertias are m = 0.36 kg and m = 0.12 kg. (a) Vx (m/s) 0.6 0.4 cart 2 0.2 22 0 cart 1 -0.2 collision 20 40 60 Av, (b) P. (kg. m/s) 0.06 collision cart 2 0.04 0.02 Icart 1 t (ms) 60 0 80 100 120 20 40 9 -0.02 AP2x t (ms) 60 80 100 120