By using the orbital period equation we will find that the orbital radius is r = 4.29*10^11 m
<h3>
What is the orbital period?</h3>
This would be the time that a given body does a complete revolution in its orbit.
It can be written as:
Where:
- π = 3.14
- G is the gravitational constant = 6.67*10^(-11) m^3/(kg*s^2)
- M is the mass of the sun = 1.989*10^30 kg
- r is the radius, which we want to find.
Rewriting the equation for the radius we get:
![T = \sqrt{\frac{4*\pi ^2*r^3}{G*M} }\\\\r = \sqrt[3]{ \frac{T^2*G*M}{4*\pi ^2} }](https://tex.z-dn.net/?f=T%20%3D%20%5Csqrt%7B%5Cfrac%7B4%2A%5Cpi%20%5E2%2Ar%5E3%7D%7BG%2AM%7D%20%7D%5C%5C%5C%5Cr%20%3D%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7BT%5E2%2AG%2AM%7D%7B4%2A%5Cpi%20%5E2%7D%20%7D)
Where T = 7.5 years = 7.5*(3.154*10^7 s) = 2.3655*10^8 s
Replacing the values in the equation we get:
![r = \sqrt[3]{ \frac{(2.3655*10^8 s)^2*(6.67*10^{-11} m^3/(kg*s^2))*(1.989*10^{30} kg)}{4*3.14 ^2} } = 4.29*10^{11 }m](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B%20%5Cfrac%7B%282.3655%2A10%5E8%20s%29%5E2%2A%286.67%2A10%5E%7B-11%7D%20m%5E3%2F%28kg%2As%5E2%29%29%2A%281.989%2A10%5E%7B30%7D%20kg%29%7D%7B4%2A3.14%20%5E2%7D%20%7D%20%3D%204.29%2A10%5E%7B11%20%7Dm)
So the orbital radius is 4.29*10^11 m
If you want to learn more about orbits, you can read:
brainly.com/question/11996385
Answer:
Explanation:
Frequency of each electromagnetic wave is same thus we can interfere them along X axis in Phase diagram.
In phase diagram indicate each wave as vector with amplitude as length and phase difference as angle. (shown in attachment)
Now take component of E2 and E3 amplitude along X direction.
Net amplitude of all E in X direction = 
+ cos(45)[ 
+ ]
⇒ 
Final resultant have no change in frequency
So , resultant is
Answer:
Explanation:
a ) When the box starts to slip
static friction = mg sinα
mg cosα x μ = mg sinα ( μ is coefficient of static friction )
Tanα = μ = .35
α = 19.2°
b ) Once box starts moving , kinetic friction will start applying on it
kinetic friction = mg cos19.2 x .25
= 2.31m
net force downward = mgsin19.2 - mgcos19.2 x .25
= m ( 3.22 - 2.31 )
= .91 m
acceleration downward ( a ) = .91 m / s²
c )
v² = u² + 2 a s
= 0 + 2 x .91 x 5
= 9.1
v = 3 m / s
For the same generic reason that table salt doesn't taste or behave
like the corrosive sodium or the poisonous chlorine that it's made of.
The physical and chemical properties of compounds in general are
very different from the characteristics of any of their constituent
elements in the pure elemental state.
-- Water doesn't act anything like Hydrogen or Oxygen.
-- A candle doesn't act anything like Carbon or Hydrogen.
-- Dry ice doesn't act anything like Carbon or Oxygen.
-- DNA doesn't act anything like Hydrogen, Oxygen, Nitrogen,
Carbon or Phosphorus. (We are lucky.)
