Problem

When you open the door to an air-conditioned room, you mix hot gas with cool gas. Saying t...

When you open the door to an air-conditioned room, you mix hot gas with cool gas. Saying that a gas is hot or cold actually refers to its average energy; that is, the hot gas molecules have a higher kinetic energy than the cold gas molecules. The difference in kinetic energy in the mixed gases decreases over time as a result of elastic collisions between the gas molecules, which redistribute the energy. Consider a two-dimensional collision between two nitrogen molecules (N2, molecular weight = 28.0 g/mol). One molecule moves at 30.0° with respect to the horizontal with a velocity of 672 m/s. This molecule collides with a second molecule moving in the negative horizontal direction at 246 m/s. What are the molecules' final velocities if the one that is initially more energetic moves in the vertical direction after the collision?

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