1. It\'s possible for a determined group of people to pull an aircraft. Drag is

Question

1. It's possible for a determined group of people to pull an aircraft. Drag is negligible at low speeds, and the only force impeding motion is the rolling friction of the rubber tires on the concrete runway. In 2000, a team of 60 British police officers set a world record by pulling a Boeing 747, with a mass of 200,000 kg, a distance of 100 m in 53 s. The plane started at rest. Suppose that Mr=0.02. Estimate the force with which each officer pulled on the plane, assuming constant pulling force and constant acceleration.

Explanation / Answer

1)
ma=F+?mg
then
F=m(a+?g)
where
a=2x/t^2=2*100/53^2 = 0.07 m/s^2
F=2x10^5(0.07+0.02*9.8) = 5.32x10^4 N
the force with which each officer pulled on the plane is
f=F/n
f=5.32x10^4/60 = 886.7 N

2)
T=mg+ma
then
a=T/m-g
a=57/5-9.8 =1.6 m/s^2 [max acceleration]
the least amount of time is
t=(2h/a)^1/2
t=(2*2/1.6)^1/2 = 1.58 s

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