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Old Sep 12th 2009, 09:55 AM   #1
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Red face Explanation needed.

“Any object dropped from a given height will fall with the same acceleration regardless of its mass”.

Even though I understand this statement, could anyone give me an example using a mathematical equation so that I can fully understand the concept.
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Old Sep 12th 2009, 09:58 AM   #2
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Originally Posted by tsmith View Post
“Any object dropped from a given height will fall with the same acceleration regardless of its mass”.

Even though I understand this statement, could anyone give me an example using a mathematical equation so that I can fully understand the concept.
The magnitude of the force between the Earth (mass $\displaystyle M$) and any body (mass $\displaystyle m$) is given by $\displaystyle F=\frac{GmM}{r^2}$. For the acceleration, as $\displaystyle F=ma$, simply divide the force by $\displaystyle m$.
The conclusion follows. (I hope you can fully understand it now)
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