Question #102452

A plane is flying with a constant speed along a straight line at an angle of 30

with the horizontal. The weight of the plane is 100000 N and its engine provides

a thrust of 120000 N in the direction of flight. Two additional forces are exerted

on the plane: the lift force perpendicular to the plane’s wings, and the force due

to air resistance opposite to the direction of motion. Draw the free-body diagram

showing all forces on the plane. Determine the lift force and the force due to air

resistance

with the horizontal. The weight of the plane is 100000 N and its engine provides

a thrust of 120000 N in the direction of flight. Two additional forces are exerted

on the plane: the lift force perpendicular to the plane’s wings, and the force due

to air resistance opposite to the direction of motion. Draw the free-body diagram

showing all forces on the plane. Determine the lift force and the force due to air

resistance

Expert's answer

As per the given data in the question,

"\\theta=30^\\circ"

The weight of the plane =100000N

Thrust force on the plane, along the direction of the flight =120000

So, Additional thrust force is "F_{th}"

"\\Rightarrow F_{th}+120000 \\sin 30=100000"

"F_{th}=100000-600000=400000N"

Hence, resist force "R=120000\\cos30=600000\\sqrt{3}N"

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