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Two children who are bored while waiting for their flight at the airport decide to race from one end of the 20-m-long moving sidewalk to the other and back. Phillippe runs on the sidewalk at 2.0 m/s (relative to the sidewalk). Renee runs on the floor at 2.0 m/s. The sidewalk moves at 1.5 m/s relative to the floor. Both make the turn instantly with no loss of speed. a. Who wins the race

Respuesta :

Answer:

Renee will win the race

Explanation:

Total time of motion for Phillippe is given as

[tex]t_1 = \frac{L}{v + v_1 } + \frac{L}{v - v_1}[/tex]

now we have

[tex]t_1 = \frac{L}{2 + 1.5} + \frac{L}{2 - 1.5}[/tex]

[tex]t_1 = \frac{L}{3.5} + \frac{L}{0.5}[/tex]

[tex]t_1 = 2.28 L[/tex]

now for Renee we have

[tex]t_2 = \frac{L}{2} + \frac{L}{2}[/tex]

[tex]t_2 = L[/tex]

so here we can see that

[tex]t_2 < t_1[/tex]

so Renee will win the race

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