How can I determine the acceleration due to gravity using simple measurements?

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The discussion revolves around a request for assistance in proving the acceleration due to gravity using easily measurable variables like mass and time. The user, Matt, references the gravitational force formula (F = GM_em/r²) and Newton's law (F = ma) to derive an expression for gravitational acceleration. He clarifies his goal of conducting a simple experiment by dropping a small ball from a height of 2 meters and timing its fall to gather data. Additionally, he outlines the requirements for presenting his findings, which include a labeled diagram, sample calculations, and identification of independent, dependent, and constant variables. The thread also includes a reminder to utilize the designated forum for homework help.
mattmate
I need to prove the folowing statement. Can someone please help me as i am having trouble working out the formula needed to determine a value for acceleration. (This has to be proved as simply as possible, using things easily measured, ie Mass, time etc...

Please help as soon as possible,
Thanx
matt
 
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Gravitational force is given by


F= \frac {GM_em} {r^2}

Where
M_e= the mass of the earth
m= the mass of some object
r= radius of the earth
G= The Gravitational constant.


Newtons law

F= ma

Use these two relationships to get an expression for the acceleration due to gravity.

I am guessing that this is what you are asking for. Your question statement leaves a lot to be desired. It simply is not clear what you are asking.
 
Last edited:
in Reply

The question i need to answer is:
"Gather infomation using a wide variety of sources and carry out a simple first hand investigation to determine a value for acceleration due to gravity. Present this by:
1)Including labeled diagram
2)Showing a sample of simple calculations used
3)Identifying Independant, Dependant and constant variables"

The experiment i chose to perform is to drop a small ball froma height of 2meters. I time this, and then i was hoping to be able to answer the above question via this experiment

Thanx
Matt
 

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