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Chapter 8: Problem 45

What is the ratio of acceleration due to gravity on earth to moon?

Short Answer

Expert verified
A: The ratio of acceleration due to gravity on Earth to that on the Moon is approximately 6.05.

Step by step solution

01

Recall the acceleration due to gravity on Earth and Moon

The acceleration due to gravity on Earth, denoted as \(g_\text{Earth}\), is approximately 9.8 m/s², and on the Moon, denoted as \(g_\text{Moon}\), is 1.62 m/s².
02

Write down the formula for the ratio

To find the ratio of acceleration due to gravity on Earth to that on the Moon, we will divide the \(g_\text{Earth}\) by \(g_\text{Moon}\). Let the ratio be denoted as R, then the formula will be: \( R = \frac{g_\text{Earth}}{g_\text{Moon}} \)
03

Calculate the ratio

Now, we will substitute the known values of \(g_\text{Earth}\) and \(g_\text{Moon}\) into the formula and calculate the ratio R: \( R = \frac{9.8}{1.62}\) \( R = 6.05\) The ratio of the acceleration due to gravity on Earth to that on the Moon is approximately 6.05.

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