(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A sensitive gravimeter at a mountain observatory finds that the acceleration due to gravity is 0.0057 m/s2 less than that at sea level. What is the observatory's altitude?

___m

2. Relevant equations

g= (GM)/r^2

3. The attempt at a solution

Alrighty, my attempt makes sense to me, so I'm sure where I'm going wrong.

I began by finding the mass. So, I used 9.8 m/s2 as the g and then the earth's radius as r:

9.8= (6.67E-11)M/6.37E6 (<----- the earth's radius)

M= 9.359E17 kg

Then I subtracted the acceleration change given from 9.8:

9.8-0.0057 = 9.7943 m/s2

That is my new g.

Then, using the found mass, I plugged in my new numbers:

9.7943= (6.67E-11)(9.36E17)/ r^2

r=2523.4 m

That, however, was not the correct answer. I can't see my error. Could anyone help me out?

Thanks in advance!!

~Phoenix

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# Homework Help: Gravitational Pulls- Acceleration decreases as object is farther from center

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