Answer : 2446 years.
Explanation :
Length of semi major axis is, ![a=84\ au= 1.496\times 10^{11}\ m](https://tex.z-dn.net/?f=a%3D84%5C%20au%3D%201.496%5Ctimes%2010%5E%7B11%7D%5C%20m)
According to Kepler's third law, square of time period of an orbit is directly proportional to the cube of the semi major axis.
i.e ![T^2=\dfrac{4\pi^2}{GM}a^3](https://tex.z-dn.net/?f=T%5E2%3D%5Cdfrac%7B4%5Cpi%5E2%7D%7BGM%7Da%5E3)
where G is gravitational constant
M is mass of sun, ![M=1.98\times 10^{30}\ Kg](https://tex.z-dn.net/?f=M%3D1.98%5Ctimes%2010%5E%7B30%7D%5C%20Kg)
So, ![T^2=\dfrac{4\times (3.14)^2}{6.6\times 10^{-11}Nm^2/Kg\times 1.98\times 10^{30}\Kg}](https://tex.z-dn.net/?f=T%5E2%3D%5Cdfrac%7B4%5Ctimes%20%283.14%29%5E2%7D%7B6.6%5Ctimes%2010%5E%7B-11%7DNm%5E2%2FKg%5Ctimes%201.98%5Ctimes%2010%5E%7B30%7D%5CKg%7D)
![T^2=3\times 10^{-19}\times(84\times 1.496\times 10^{11})^3](https://tex.z-dn.net/?f=T%5E2%3D3%5Ctimes%2010%5E%7B-19%7D%5Ctimes%2884%5Ctimes%201.496%5Ctimes%2010%5E%7B11%7D%29%5E3)
![T^2=3\times 10^{-19}\times 1984415.6\times 10^{33}](https://tex.z-dn.net/?f=T%5E2%3D3%5Ctimes%2010%5E%7B-19%7D%5Ctimes%201984415.6%5Ctimes%2010%5E%7B33%7D)
![T^2=59532469.8\times 10^{14}\ s](https://tex.z-dn.net/?f=T%5E2%3D59532469.8%5Ctimes%2010%5E%7B14%7D%5C%20s)
![T=7715.7\times 10^7\ s](https://tex.z-dn.net/?f=T%3D7715.7%5Ctimes%2010%5E7%5C%20s)
since, ![1\ sec=3.17\times 10^{-8}\ years](https://tex.z-dn.net/?f=1%5C%20sec%3D3.17%5Ctimes%2010%5E%7B-8%7D%5C%20years)
So, orbital period is approximately 2446 years.
Answer: Direction
Explanation: A vector is a geometrical representation of physical quantity. It has a particular direction with a specific magnitude. In the geometry of space whether it is two dimensional or three dimensional the vector quantity has a specific direction. Such as a stone is thrown with a velocity in a particular direction.
The path of the stone in three-dimension shows its direction and speed is its magnitude.
Hence, the velocity of stone has two property magnitude mentioned as speed and particular direction. On writing the mathematical expressions for vectors, it is denoted by arrow mark on its top as shown below.
Answer:
Work = force * displacement
= 50 N * 20 Meter
=1000 Newton meter = 1000 joule .
Explanation:
W=Fd
W=22,000N*(2,000m)
W=44,000,000J
Answer:
0.08 meters.
Explanation:
Extension= increase in length (∆L).
E= 21-13=8 cm
To convert cm to m, divide by 100
8 cm= 0.08 m.