Answer:
The force becomes 16 times what it is now.
Explanation:
The formula for gravitational force is
F = G * m1 * m2 / r^2
When you do what you have described, you are setting a stage that not even the USS Enterprise (Star Trek) can get out of. The increase is huge.
If you double m1 and m2 and don't do anything to r, you've already increased the force by 4 times. (2m1 * 2m2 = 4 * m1 * m2)
But you are not finished. If you 1/2 the distance, you are again increasing the Force by 4 times. 1 / (2r) ^2 = 1/ 4* r^2
Because this is in the denominator, the 1/4 is going to flip to the numerator.
So the total increase is going to be 4 * (4 * m1 * m2) = 16 * m1 * m2.
Think about what that means. If you were out golfing, your drives would be roughly 1/16 times as far as they are now. Also you would be lugging around 16 times your weight around the golf course. My feeling is that you would never finish 5 holes at that rate.
A) 750 m
First of all, let's find the wavelength of the microwave. We have
is the frequency
is the speed of light
So the wavelength of the beam is
![\lambda=\frac{c}{f}=\frac{3\cdot 10^8 m/s}{12\cdot 10^9 Hz}=0.025 m](https://tex.z-dn.net/?f=%5Clambda%3D%5Cfrac%7Bc%7D%7Bf%7D%3D%5Cfrac%7B3%5Ccdot%2010%5E8%20m%2Fs%7D%7B12%5Ccdot%2010%5E9%20Hz%7D%3D0.025%20m)
Now we can use the formula of the single-slit diffraction to find the radius of aperture of the beam:
![y=\frac{m\lambda D}{a}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7Bm%5Clambda%20D%7D%7Ba%7D)
where
m = 1 since we are interested only in the central fringe
D = 30 km = 30,000 m
a = 2.0 m is the aperture of the antenna (which corresponds to the width of the slit)
Substituting, we find
![y=\frac{(1)(0.025 m)(30000 m)}{2.0 m}=375 m](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B%281%29%280.025%20m%29%2830000%20m%29%7D%7B2.0%20m%7D%3D375%20m)
and so, the diameter is
![d=2y = 750 m](https://tex.z-dn.net/?f=d%3D2y%20%3D%20750%20m)
B) 0.23 W/m^2
First we calculate the area of the surface of the microwave at a distance of 30 km. Since the diameter of the circle is 750 m, the radius is
![r=\frac{750 m}{2}=375 m](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B750%20m%7D%7B2%7D%3D375%20m)
So the area is
![A=\pi r^2 = \pi (375 m)^2=4.42\cdot 10^5 m^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2%20%3D%20%5Cpi%20%28375%20m%29%5E2%3D4.42%5Ccdot%2010%5E5%20m%5E2)
And since the power is
![P=100 kW = 1\cdot 10^5 W](https://tex.z-dn.net/?f=P%3D100%20kW%20%3D%201%5Ccdot%2010%5E5%20W)
The average intensity is
![I=\frac{P}{A}=\frac{1\cdot 10^5 W}{4.42\cdot 10^5 m^2}=0.23 W/m^2](https://tex.z-dn.net/?f=I%3D%5Cfrac%7BP%7D%7BA%7D%3D%5Cfrac%7B1%5Ccdot%2010%5E5%20W%7D%7B4.42%5Ccdot%2010%5E5%20m%5E2%7D%3D0.23%20W%2Fm%5E2)
The
two precipitation peaks in Mbandaka during March to April and September to
November is due to the intertropical convergence zone.
Intertropical
convergence zone is a narrow zone located near the equator. It is where the
northern and southern air masses intersect which results to low atmospheric
pressure. Due to the intertropical convergence zone’s meeting of air masses,
often times the air pressure are lower which will results to colder air, or
even rainfall during the period of March to April, and most especially
September to November in Mbandaka.
<span>Since
Mbandaka is located at the cented of Tumba-Ngiri-Maindombe area, which is named
as a Wetland of International importance, there is really a bigger chance that
this place experience above 60mm precipitation in a year, temperatures averaging
from 23 – 26 degrees Celsius.</span>