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An airplane is flying at a constant velocity through the air. What is the relationship between the magnitudes of the four forces shown in the diagram?

A. L = W; F < D
B. L = W; F = D
C. L = W = F = D
D. L = W; F > D

An airplane is flying at a constant velocity through the air What is the relationship between the magnitudes of the four forces shown in the diagram A L W F lt class=

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Answer:

(B) L=W; F=D

Explanation:

Since the airplane's velocity is constant, the airplane is not accelerating in any direction. In absence of acceleration, all forces acting on the plane are balanced so that the net forces in the horizontal and the vertical directions are zero. Given the drawing, this implies that

Forward force = Drag force (F=D)

Weight = Lift (W=L)

which corresponds to option (B)

(it is not C because nothing in the text says that the vertical and horizontal components have to have same magnitude)

The relationship between the magnitudes of four forces is L= W; F= D.

In physics, magnitude is defined as the maximum extent of size and direction of an object. Magnitude is used as a common factor in vector and scalar quantities. By definition, we know that scalar quantities are those quantities that have magnitude only.

The magnitude of the velocity is the instantaneous speed of the object.

Here velocity is constant so airplane is not moving so

Forward force = Drag force(F= D).

Weight = Lift ( W= L).

The correct answer is option B.

Learn more about magnitude

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