Saturday, 24 August 2013

Calculating the average force (mathematical physics)

Calculating the average force (mathematical physics)

I am trying to calculate the average force with regards to this question:
Calculate the average force that USA gold medalist Allyson Felix (mass =
55.3 kg, height = 168 cm) exerted backwards on the track to accelerate
from 0 to 10.2 m/s over 25 m, if she encountered a headwind that exerted
an average force of 10.0 N against her.
The answer is correct but I'm a little stuck. Where is the value 2.08
coming from? How do I get this value?
Working: By v^2 = u^2 + 2as
=>(10.20)^2 = 0 + 2 x a x 25
=>a = 2.08 m/s^2
Thus by F = ma = 55.30 x 2.08 = 115.10 N
F(total) = 115.10 + 10 = 125.10 N

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