Final answer:
To determine the speed of each marble after the collision, conservation of momentum must be applied. However, the type of collision (elastic or inelastic) would affect the outcome, and the question lacks enough information to provide a definitive answer.
Step-by-step explanation:
The question involves a collision between two marbles and requires us to determine the speed of each marble immediately after the collision. To solve this, we need to apply the principle of conservation of momentum, which states that in the absence of external forces, the total momentum before the collision is equal to the total momentum after the collision. The mass and initial velocity of the first marble (50 g and 2.0 m/s) and the mass of the second marble (20 g and at rest) are known.
Given the provided reference scenarios, which closely resemble the situation described in the question but do not match it exactly, we can follow similar steps to find the speed of the marbles after the collision. Since the question does not give enough information about the type of collision (elastic or inelastic), a specific solution cannot be given. In an elastic collision, both momentum and kinetic energy are conserved. In an inelastic collision, only momentum is conserved.