On an airplane's takeoff, the combined action of the air around the engines and wings of an...

Question:

On an airplane's takeoff, the combined action of the air around the engines and wings of an airplane exerts an {eq}8000 \ N {/eq} force on the plane, directed upward at an angle of {eq}65.0 ^\circ {/eq} above the horizontal. The plane rises with constant velocity in the vertical direction while continuing to accelerate in the horizontal direction.

(a) What is the weight of the plane?

(b) What is it's horizontal acceleration?

Force Balance:

The second law of Newton is used to define the net force (applied ) and the acceleration of the system. if there is no acceleration in the vertical direction then the weight of the system is balanced with the vertical force component.

Answer and Explanation:

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Given Data

  • The force applied to the plane is: {eq}F = 8000\;{\rm{N}} {/eq}
  • The inclination with the horizontal is: {eq}\theta = 65^\circ {/eq}


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Forces: Balanced and Unbalanced

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Chapter 5 / Lesson 6
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Forces are needed to start or stop an object's motion, but can also be involved when an object is at rest or already traveling at constant velocity. In this video lesson, you'll identify the difference between balanced and unbalanced forces, understanding how they affect the movement of objects.


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