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.
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.
: 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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