Answer:
Option (3)
Explanation:
Nicolaus Copernicus was an astronomer from Poland, who was born on the 19th of February in the year 1473. He played a great role in the field of modern astronomy.
He was the person who contributed to the heliocentric theory. This theory describes the position of the sun in the middle of the universe, and all the planets move around the sun. This theory was initially not accepted, and after about a century it was widely accepted.
This theory describes the present-day motion of the planets around the sun in the solar system. This theory replaced the geocentric theory.
Thus, the correct answer is option (3).
<h2>Hello!</h2>
The answer is: B. Kinetic energy
<h2>
Why?</h2>
Since the ball is falling, speed increases because the gravity acceleration is acting. When speed increases, the kinetic energy increases too, so the ball is gaining kinetic energy.
The gravity acceleration is equal to
, it means that when falling, the ball will increase it's speed 9.81m every second.
We can calculate the kinetic energy by using the following formula:
![KE=\frac{1}{2}*m*v^{2}](https://tex.z-dn.net/?f=KE%3D%5Cfrac%7B1%7D%7B2%7D%2Am%2Av%5E%7B2%7D)
Where:
![m=mass\\v=velocity](https://tex.z-dn.net/?f=m%3Dmass%5C%5Cv%3Dvelocity)
Have a nice day!
<h2 />
Answer:
the force will increase by a factor 2.25
Explanation:
The gravitational force between the two stars is given by:
![F=G\frac{m_1 m_2}{r^2}](https://tex.z-dn.net/?f=F%3DG%5Cfrac%7Bm_1%20m_2%7D%7Br%5E2%7D)
where
G is the gravitational constant
m1, m2 are the masses of the two stars
r is the distance between the stars
If the distance is decreased by one-third, it means that the new distance is 2/3 of the previous distance
![r'=\frac{2}{3}r](https://tex.z-dn.net/?f=r%27%3D%5Cfrac%7B2%7D%7B3%7Dr)
So the new force will be
![F'=G\frac{m_1 m_2}{(\frac{2}{3}r)^2}=\frac{9}{4} G\frac{m_1 m_2}{r^2}=2.25 F](https://tex.z-dn.net/?f=F%27%3DG%5Cfrac%7Bm_1%20m_2%7D%7B%28%5Cfrac%7B2%7D%7B3%7Dr%29%5E2%7D%3D%5Cfrac%7B9%7D%7B4%7D%20G%5Cfrac%7Bm_1%20m_2%7D%7Br%5E2%7D%3D2.25%20F)
So, the force will be 2.25 times the previous value.
The energy stored in a capacitor is
E = (1/2) · (capacitance) · (voltage)²
E = (1/2) · (6 x 10⁻⁶ F) · (12 V)²
E = (3 x 10⁻⁶ F) · (144 V²)
<em>E = 4.32 x 10⁻⁴ Joule</em>
(That's 0.000432 of a Joule)