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Q. 25

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 1060

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Short Answer

A human hair is about in diameter. At what speed, in m/s, would a meter stick “shrink by a hair”?

Hint: Use the binomial approximation.

At a speed of , a meter stick shrink by a hair.

See the step by step solution

Step by Step Solution

Step 1: Given Information

We have given that a human hair is about in diameter.

We must determine at what pace in m/s a meter stick "shrinks by a hair" using the binomial approximation.

Step 2: Simplify

: Grounds reference frame

: The meter establishes a frame of reference.

On the ground, an experimenter measures the length to be constricted to:

As a result, has the following value:

Now, we must determine the value of using the following relation:

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