Question

12 34 5 67 A jet with mass m - 1.1 x 103 kg jet accelerates down the runway for takeoff at 2.1 m/s? 1) What is the net horizontal force on the airplane as it accelerates for takeoff? N Submit 2) What is the net vertical force on the airplane as it accelerates for takeoff? N Submit 3) Once off the ground, the plane climbs upward for 20 seconds. During this time, the vertical speed increases from zero to 22 m/s, while the horizontal speed increases from 80 m/s to 95 m/s What is the net horizontal force on the airplane as it climbs upward? N Submit 4) What is the net vertical force on the airplane as it climbs upward? N Submit 5) After reaching cruising altitude, the plane levets off, keeping t e horzontal spee constant,but smoothly reducine the vertical speed to zero, in 14 seconds What is the net horizontal force on the airplane as it levels off N Submit

Answer 1

Given is:-

mass of the jet  

acceleration of the jet on the runway

Now,

part-1

Horizontal force on the plane during takeoff is

by plugging all the values we get

which gives us

Part-2

Since it is on runway and force on it due to gravity is exactly balanced by the normal reaction force on plane by surface. Hence net vertical force will be

part-3

Time taken t=20s

Horizontal speed changes from 80m/s to 95m/s, then acceleration acting horizontally will be

which gives us

Thus the net horizontal force on the plane as it climb upwards will be

which gives us

Part-4

Similarly net acceleration acting vertically on plane,

,, = Δυ = 22-0 ly 20

1.1m/s

Thus the net vertical force will be

which gives us

Part-5

Since horizontal speed is constant hence acceleration then acting horizontally will be 0 and thereby then horizontally force will be 0.

thus