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A force platform is a tool used to analyze the performance of athletes measuring

ID: 1457660 • Letter: A

Question

A force platform is a tool used to analyze the performance of athletes measuring the vertical force that the athlete exerts on the ground as a function of time. Starting from rest, a 59.0 kg athlete jumps down onto the platform from a height of 0.690 m. While she is in contact with the platform during the time interval 0 < t < 0.8 s, the force she exerts on it is described by the function below. F = (9 200 N/s)t - (11 500 N/s2)t2

(c) What impulse did the athlete receive from gravity while in contact with the platform?

Explanation / Answer

Here ,

F = 9200 * t - 11500 * t^2

mass of atlete , m = 59 Kg

height , h = 0.69 m

c) as the gravity force is constant

impulse = force * time

impulse = 59 * 9.8 * 0.8

impulse = 462.6 Kg.m/s

the impulse on the atlete is 462.6 Kg.m/s

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