Posted by Jack on Saturday, October 13, 2007 at 4:49pm.
When the car is over the top of the bump it is accelerating downward. The acceleration is
a = v^2/r = (13 m/s)^2/(33.2 m)
= 5.09 m/s^2
72.7 kg person is thus accelerated downward at this acceleration.
Newton's second law says that:
F = m a
Let'S apply this to the person. There are two forces that act on the person. There is the gravitational force exerted by the entire Earth on the person. This force is directed downward and has a magnitude of:
F_g = 72.7 kg * g = 713 N
And there is the foce exerted by the chair F_ch
If the take the downward direction to be positive, we have:
(F_g + F_ch) = 72.7 kg * 5.09 m/s^2 --->
F_ch = -343 N
The minus sign means that it is directed upward.
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