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Two carts of masses 1 kg and 2 kg travel together, as shown in Figure 1. At time t = 2 s, a compressed spring inside the 2 kg cart expands, and the carts separate. Figure 2 shows a graph of the carts’ velocities as a function of time. What is the magnitude of the change in linear momentum, if any, of the two-cart system between t = 0 s and t =4 s? Two carts, of mass 2m and m. approach each other head-on with the same speed v, as shown in the figure below. When the carts collide, they hook together. Assuming positive momentum is to the right, which of the following best represents the momentum of the cart of mass m as a function of time before and after the collision? Object X travels across a horizontal surface and collides with object Y. The velocity as a function of time for object X and object Y before, during, and after the collision is shown in the graph. Both objects have a mass of 2 kg. Which of the following CORRECTLY describes the momentum p of the system and the kinetic energy K of the system?