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Answer :
Final answer:
Runner B has the largest linear momentum, followed by Runner A and then Runner C, based on their respective masses and velocities, making the correct answer C) Runner B > Runner A > Runner C.
Explanation:
Linear momentum is calculated by multiplying an object's mass by its velocity. Runner A has a linear momentum of 263.2 kg·m/s, Runner B has a linear momentum of 285.6 kg·m/s, and Runner C has a linear momentum of 224.1 kg·m/s. To order the runners from largest to smallest linear momentum, we will calculate the momentum for each runner by using the formula p = m * v, where p is momentum, m is mass, and v is velocity. Runner A has a momentum of 56 kg * 4.7 m/s = 263.2 kg*m/s. Runner B has a momentum of 68 kg * 4.2 m/s = 285.6 kg*m/s. Runner C has a momentum of 83 kg * 2.7 m/s = 224.1 kg*m/s. Thus, the order from largest to smallest momentum is Runner B > Runner A > Runner C, making the correct answer C) Runner B > Runner A > Runner C.
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