(a)
The direction of force exerted by the air on the airplane.
(a)
Answer to Problem 157P
The force is directed at
Explanation of Solution
Mass of airplane is
Write the equation to find the angle made by force with the vertical.
Here, the angle made by the force with vertical is
Write the expression to find
Here, the mass of airplane is
Write the expression to find
Here, the gravitational acceleration is
Rewrite the equation for
Conclusion:
Substitute
Therefore, the force is directed at
(b)
The horizontal and vertical components of acceleration of airplane.
(b)
Answer to Problem 157P
X-component of acceleration is
Y-component of acceleration is
Explanation of Solution
Mass of airplane is
Write the equation for the magnitude of net acceleration of plane.
Here, the magnitude of net acceleration of plane is
Write the equation for the x-component of acceleration of plane.
Here, the magnitude of acceleration is
Rewrite the equation for
Write the equation for y-component of acceleration of plane.
Here, the y-component of net acceleration of plane.
Rewrite the equation for
Conclusion:
Substitute
Substitute
Therefore, the x-component of acceleration is
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