Newton's Law of Motion Problem, HELP :'(

[manu248]

Homework Statement

Assume a 8-passenger learjet has a force of gravity of 66000 N [down] acting on it as it travels at a constant velocity of 640 km/hr [W]. if the forward thrust provided by the engines is 13000 N [W], determine:

a - the upward life force on the plane
b - the force due to air resistance on the plane

Homework Equations

The Attempt at a Solution

i have absolutely no clue on how to even begin, I am so lost. please help, thanks.

 

[cepheid]

1. Is the plane accelerating the vertical direction (up or down)?
2. What does this imply about the total vertical force acting on it?

3. Is the plane accelerating in the horizontal direction?
4. What does this imply about the total horizontal force acting on it?

 

[tomcue]

I understand that this problem involves Newton's Laws of Motion, specifically the law of inertia and the law of action and reaction. The first step in solving this problem would be to draw a free-body diagram of the learjet, showing all the forces acting on it. This will help us visualize the problem and determine the direction of the forces.

Next, we can use the formula F=ma to calculate the net force acting on the plane in the horizontal direction. Since the plane is traveling at a constant velocity, we know that the net force in the horizontal direction is zero. This means that the thrust provided by the engines (13000 N) must be equal to the force of air resistance (Fair). We can rearrange the formula to solve for Fair, which will give us the force of air resistance on the plane.

For part a, we can use Newton's second law (F=ma) to calculate the upward lift force on the plane. Since the plane is not accelerating in the vertical direction, the net force in the vertical direction must also be zero. This means that the upward lift force (Fup) must be equal to the force of gravity (Fg). We can rearrange the formula to solve for Fup, which will give us the upward lift force on the plane.

I hope this helps guide you in solving the problem. Remember to always draw a free-body diagram and use the appropriate formulas to solve for the unknown values. If you are still struggling, I recommend seeking help from your teacher or a tutor. Good luck!