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Chapter 4: Problem 10

As your plane accelerates down the runway, you take your keys from your pocket and suspend them by a thread. Do they hang vertically? Explain.

Short Answer

Expert verified
No, the keys do not hang vertically. They are subjected to the forces of the plane's acceleration and gravity, creating a resultant diagonal force. As a result, the keys will hang at an angle, not vertically.

Step by step solution

01

Identify the Forces in Play

Examine the forces involved in the situation. There are two primary forces acting upon the keys - the force of gravity, which acts vertically downward, and the force of the plane's forward acceleration, imparted onto the keys.
02

Determine the Resultant Force

Now, bring these forces together in a vector sum in order to determine the resultant force. The force of gravity pulls the keys straight downward while the acceleration of the plane pushes the keys horizontally. This results in a diagonal pull on the keys, which will cause them to deviate from a vertical position.
03

Visualize the Concept

For a clear understanding, think of the forces as arrows or vectors representing their direction and magnitude. Gravity is pulling the keys down vertically, while the acceleration force is pushing the keys horizontally. When you add up the vectors, the sum result will point diagonally, demonstrating why the keys will hang at an angle, not vertically.

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