A \(0.2-\mathrm{kg}\) cart 1 initially at rest is struck by an identical cart 2 traveling at \(v_{2 x, i}=+0.5 \mathrm{~m} / \mathrm{s}\) along a low-friction track. After the collision, the velocity of cart 2 is reduced to \(v_{2 x, f}=+0.2 \mathrm{~m} / \mathrm{s}\).

(a) Is the collision elastic, inelastic, or totally inclastic?

(b) By what amount does the internal energy of the two-cart system change?

(c) Make a bar diagram showing the initial and final kinetic and internal energies of the two carts.