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:

Answer:
D. Nothing will happen; the seesaw will still be balanced.
Explanation:
D. Nothing will happen; the seesaw will still be balanced. Since both toruqes or momentums respect to the center have changed in the same amount (one-half their original distance) the seesaw will remain balanced, if the children change distance in a different amount then it will be out of balance
Answer:
Third parties may also help voter turnout by bringing more people to the polls. Third party candidates at the top of the ticket can help to draw attention to other party candidates down the ballot, helping them to win local or state office.
Answer:
Patm or the presion at the top is equal to 110977.28[Pa]
Explanation:
First we must define the absolute pressure value, which is equal to the sum of the atmospheric pressure plus the manometrial pressure.
![P_{abs} = P_{atm}+P_{man}\\where:\\P_{abs}=122000[Pa]](https://tex.z-dn.net/?f=P_%7Babs%7D%20%3D%20P_%7Batm%7D%2BP_%7Bman%7D%5C%5Cwhere%3A%5C%5CP_%7Babs%7D%3D122000%5BPa%5D)
Now we can find the manometric pressure.
![P_{man} = density*g*h\\where:\\density = 921[kg/m^3]\\g = gravity = 9.81[m/s^2]\\h = depth = 1.22[m]](https://tex.z-dn.net/?f=P_%7Bman%7D%20%20%3D%20density%2Ag%2Ah%5C%5Cwhere%3A%5C%5Cdensity%20%3D%20921%5Bkg%2Fm%5E3%5D%5C%5Cg%20%3D%20gravity%20%3D%209.81%5Bm%2Fs%5E2%5D%5C%5Ch%20%3D%20depth%20%3D%201.22%5Bm%5D)
![P_{man} = 921*9.81*1.22\\ P_{man}= 11022.71[Pa]](https://tex.z-dn.net/?f=P_%7Bman%7D%20%3D%20921%2A9.81%2A1.22%5C%5C%20P_%7Bman%7D%3D%2011022.71%5BPa%5D)
Therefore:
![P_{atm} = P_{abs} - P_{man} \\P_{atm} = 122000 - 11022.71\\P_{atm}= 110977.28[Pa]](https://tex.z-dn.net/?f=P_%7Batm%7D%20%3D%20%20P_%7Babs%7D%20-%20P_%7Bman%7D%20%5C%5CP_%7Batm%7D%20%3D%20122000%20-%2011022.71%5C%5CP_%7Batm%7D%3D%20110977.28%5BPa%5D)
Answer small rual villages