Theory and ExamplesFalling meteorite The velocity of a

Chapter 3, Problem 101E

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QUESTION:

Problem 101E

Theory and Examples

Falling meteorite The velocity of a heavy meteorite entering Earth’s atmosphere is inversely proportional to  when it is s km from Earth’s center. Show that the meteorite’s acceleration is inversely proportional to s2.

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QUESTION:

Problem 101E

Theory and Examples

Falling meteorite The velocity of a heavy meteorite entering Earth’s atmosphere is inversely proportional to  when it is s km from Earth’s center. Show that the meteorite’s acceleration is inversely proportional to s2.

ANSWER:

Solution:

Step 1 of 2

In this problem, we have to show that the meteorite’s acceleration is inversely proportional to .

The velocity of the meteorite is inversely proportional to .

That is , where k is a proportionality of constant.


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