Vectors. Calculating Weight (N) of Plane with force and angle of take off

AI Thread Summary
The discussion focuses on calculating the weight of a plane during takeoff, where an upward force of 8445 N acts at an angle of 50.2 degrees. The plane rises with a constant vertical velocity while accelerating horizontally, indicating that the vertical acceleration is zero. The gravitational acceleration is given as 9.8 m/s², which is essential for determining the weight of the plane. The user expresses uncertainty about how to proceed with the calculations, particularly regarding the vertical component of the forces involved. Understanding the relationship between the forces and the plane's motion is crucial for solving the problem.
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Homework Statement


On takeoff” refers to after the plane has left the ground.
On takeoff, the combined action of the air around the engines and wings of an airplane exerts a(n) 8445 N force on the plane, directed upward at an angle of 50.2◦ above the hori- zontal. The plane rises with constant velocity in the vertical direction while continuing to accelerate in the horizontal direction.
The acceleration of gravity is 9.8 m/s2 . What is the weight of the plane? Answer in units of N.

8445 N on take off. 50.2 degrees on take off. Fg=9.8


Homework Equations


Fnet=ma Fvector 1+Fvecotr 2=Fvector 1 +Fvector 2

The Attempt at a Solution



To get to vertical, the plane would have to travel 39.8 degrees higher (90). I do not know what to do from here.
 
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