a fully loaded 737 airliner has 68,000 kg (a) ignoring drag how much work do eng

Question

a fully loaded 737 airliner has 68,000 kg (a) ignoring drag how much work do engines need to do to achieve takeoff speed of 250 km/h? (b) what minimum force should the engines supply to achieve takeoff in a distance of 1.20 km? (c) the 737 is powered by two engines, each of which can produce 117 kN of force are they powerful for the take off of part ( b?)

***( Most important questions)***

How much work is required to lift the aircraft of the preceding problem to its 10.5 km cruising altitude? compare with work required to achieve its takeoff speed.

Explanation / Answer

a)

m = mass = 68000 kg

Vi = initial speed = 0 m/s

Vf = final speed = 250 km/h = 69.44 m/s

work done = change in KE

W = (0.5) m (Vf2 - Vi2)

W = (0.5) (68000) (69.442 - 02) = 1.64 x 108 J

b)

d = displacement = 1.20 km = 1200 m

F = force

Using the equation

W = F d

1.64 x 108 = F (1200)

F = 1.37 x 105 N

c)

yes since the sum of 117 kN and 117kN give net force of 2.34 x 105 N which is greater than required force of 1.37 x 105

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