(a) Use Figure \(7.2 a\) to calculate the kinetic energies of the two carts at \(t=30,60\), and \(90 \mathrm{~ms}\).

(b) What is the kinetic energy of the system at each instant?

Transcribed Image Text:

Figure 7.2 Conservation of momentum and kinetic energy in an elastic collision between two carts on a low-friction track. The inertia of cart 1 is 0.12 kg, and that of cart 2 is 0.24 kg. before collision = 0 during collision cart 2 cart 1 cart 2 cart 1 (a) Velocity v, (m/s) 0.8 0.6 cart 2 0.4 0.2 interaction after collision X cart 2 cart 1 (b) Momentum P. (kg m/s) 0.16 cart 2 0.12 Speed of cart 1 changes twice as much 0.08 All as speed of cart 2. 0.04 Momentum of two-cart system is constant. interaction momentum of system cart 1 0 (ms) ) cart 1 30 40 50 60 70 80 90 30 40 50 60 70 80 it (ms) 90