Solution: Normal Force for Plane Taking Off at 45 Degrees

[Quincy]

Homework Statement

An airplane is taking off at an acceleration of 3.5 m/s²at an angle of 45 degrees relative to the horizontal. Find the Normal force and its direction that is acting on the pilot if the mass of the pilot is 50 kg.

Homework Equations

The Attempt at a Solution

Fg = FNy
(50)(9.8) = FNy
FNy = 490 N

Since there is an angle of 45 degrees, FNy = FNx, So FNx = 490 N

FNx² + FNy² = FN²

FN = 692.96 N at an angle of 45 degrees west of north.

 

[heth]

Do you think the acceleration of the plane will affect the normal force?

(And be careful when quoting your angle at the end!)

 

[krausr79]

The pilot gets 2 forces from accelerations: gravity and takeoff. Also, this won't be a compass direction problem, it will be a left/right up/down problem.