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

In summary, on takeoff refers to after the plane has left the ground. The combined action of the air around the engines and wings exerts a force of 8445 N on the plane at an angle of 50.2 degrees above the horizontal. The plane rises with constant velocity in the vertical direction and continues to accelerate in the horizontal direction. Using the equation Fnet=ma, the weight of the plane can be calculated by taking into account the force of gravity (9.8 m/s^2).
  • #1
kitenyos
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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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  • #2
Hey, I'm kind of new to physics, but it seems to me that the fact that the vertical component of velocity is constant tells you something about the acceleration in the vertical direction. I think that should help.
 

1. What is a vector?

A vector is a mathematical object that has both magnitude (size) and direction.

2. How do you calculate the weight (N) of a plane?

To calculate the weight of a plane, you will need to know the force acting on the plane and the angle of take off. You can use the formula W = F*cos(theta), where W is the weight, F is the force, and theta is the angle of take off.

3. What is the difference between weight and force?

Weight is a type of force that is caused by gravity. It is the measure of the pull of gravity on an object. Force is a more general concept that can refer to any type of interaction between two objects, such as a push or a pull.

4. How does the angle of take off affect the weight of a plane?

The angle of take off affects the weight of a plane because it determines the direction in which the force is acting. If the angle is less than 90 degrees, the force will act to lift the plane off the ground. If the angle is greater than 90 degrees, the force will act to push the plane towards the ground.

5. Can vectors be negative?

Yes, vectors can be negative. Negative vectors indicate direction in the opposite direction of a positive vector. For example, if a vector is pointing towards the east, a negative vector would point towards the west.

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