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(a) what is the pilot apparent weight at the lowest point ofthe circle is his tr

ID: 1742190 • Letter: #

Question

(a) what is the pilot apparent weight at the lowest point ofthe circle is his true weight is 629.2N   . (B) What is his apparent weight at the highest point of thecircle? (c)Describe how the pilot could experience weightlessness ifboth the radius and the speed can be varied. Note: His apparentweight is equal to the magnitude of the force exerted by the seaton his body. Under what conditions does this occur?
(d)What speed would have resulted in the pilot experiencingweightlessness at the top of the loop?

Explanation / Answer

weight W = 629.2 N, mass m = W/g, v = 2.00*102 m/s,r = 3.39*103 m, find apparent weight w.
a) at the lowest point, w - W = mv2/r w = W + mv2/r = W(1 +v2/(gr))
b) at the highest point, w + W = mv2/r w = -W + mv2/r = W(-1 +v2/(gr))

c) if v and/or r change, use above formulas for w by using v and rat the lowest (or highest) points
d) at the highest point, w = W(-1 + v2/(gr)) = 0 v = (gr) = 156.6 m/s