If an object has 100 J of PE, how much work can it do (with that PE)?
1 answer:
Answer:
W = 100 J
Explanation:
The potential energy of an object is given by :
It is said to possessed by an object due to its position under the action of gravity.
The work done by an object is given by :
W = F×d , F is force and d is displacement
We know that, F = mg
So, if an object has 100 J of PE, it means that it can do the work of 100 J.
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Answer:
g(h) = g ( 1 - 2(h/R) )
<em>*At first order on h/R*</em>
Explanation:
Hi!
We can derive this expression for distances h small compared to the earth's radius R.
In order to do this, we must expand the newton's law of universal gravitation around r=R
Remember that this law is:
In the present case m1 will be the mass of the earth.
Additionally, if we remember Newton's second law for the mass m2 (with m2 constant):
Therefore, we can see that
With a the acceleration due to the earth's mass.
Now, the taylor series is going to be (at first order in h/R):
a(R) is actually the constant acceleration at sea level
and
Therefore:
Consider that the error in this expresion is quadratic in (h/R), and to consider quadratic correctiosn you must expand the taylor series to the next power: