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Answer :
Final answer:
The question about which two runners have identical momenta cannot be directly answered without information on the runners' mass and velocity. The provided information relates to different physics problems, none of which supply the necessary data about the masses and velocities of the runners in question.
Explanation:
To answer this question, we need to understand that momentum is a vector quantity defined as the product of an object’s mass and its velocity. For two runners to have identical momenta (assuming we are not considering an issue of opposite directions), they must have the combination of mass and velocity such that when multiplied together, they produce the same vector value of momentum.
Without specific information on the masses and velocities of these runners, it is impossible to determine which two runners have identical momenta.
The given information relates to different problems, none of which provide the necessary details to correctly address the question about the runners' momenta.
To address some of the confusion that may arise from the provided information, first, we have Problem 54 describing a situation with two marathon runners that focuses on relative velocity and race outcomes. Then, there is a reference to a Problem 1 which touches on comparing kinetic energies when two objects have the same momentum. Lastly, in the 'Check Your Understanding' section, it addresses average velocity for two runners.
However, none of these provide enough details to answer the original question about identical momenta.
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