The diagram shows a compressed spring between two carts initially at rest on a horizontal frictionless surface. Cart A has a mass of 2 kg and cart B has a mass of 1 kg. A string holds the carts together. After the string is cut and the two carts move apart, the magnitude of which quantity is the same for both carts? Velocity Kinetic energy Momentum Inertia Acceleration

This question is about the conservation of momentum. According to the law of conservation of momentum, the total momentum of a system remains constant if no external forces are acting on it. In this case, the two carts are initially at rest, so their total momentum is zero. When the string is cut, the two carts move apart, but the total momentum of the system must still be zero. This means that the momentum of cart A must be equal and opposite to the momentum of cart B. Therefore, the magnitude of the momentum is the same for both carts.