Answer:
82780.42123 m/s
14.45 days
Explanation:
m = Mass of the planet
M = Mass of the star = ![0.85\times 1.989\times 10^{30}\ kg=1.69065\times 10^{30}\ kg](https://tex.z-dn.net/?f=0.85%5Ctimes%201.989%5Ctimes%2010%5E%7B30%7D%5C%20kg%3D1.69065%5Ctimes%2010%5E%7B30%7D%5C%20kg)
r = Radius of orbit of planet = ![0.11\times 149.6\times 10^{9}\ m=16.456\times 10^{9}\ m](https://tex.z-dn.net/?f=0.11%5Ctimes%20149.6%5Ctimes%2010%5E%7B9%7D%5C%20m%3D16.456%5Ctimes%2010%5E%7B9%7D%5C%20m)
v = Orbital speed
The kinetic and potential energy balance is given by
![\frac{GMm}{r^2}=\frac{mv^2}{r}\\\Rightarrow v=\sqrt{\dfrac{Gm}{r}}\\\Rightarrow v=\sqrt{\dfrac{6.67\times 10^{-11}\times 1.69065\times 10^{30}}{16.456\times 10^{9}}}\\\Rightarrow v=82780.42123\ m/s](https://tex.z-dn.net/?f=%5Cfrac%7BGMm%7D%7Br%5E2%7D%3D%5Cfrac%7Bmv%5E2%7D%7Br%7D%5C%5C%5CRightarrow%20v%3D%5Csqrt%7B%5Cdfrac%7BGm%7D%7Br%7D%7D%5C%5C%5CRightarrow%20v%3D%5Csqrt%7B%5Cdfrac%7B6.67%5Ctimes%2010%5E%7B-11%7D%5Ctimes%201.69065%5Ctimes%2010%5E%7B30%7D%7D%7B16.456%5Ctimes%2010%5E%7B9%7D%7D%7D%5C%5C%5CRightarrow%20v%3D82780.42123%5C%20m%2Fs)
The orbital speed of the star is 82780.42123 m/s
The orbital period is given by
The orbital period is 14.45 days
Answer:
B i think is the answer
Explanation:
i feel like it is B because if you put them together and the answer is 1.5 so it is B
Answer:
v = 7.9 m/s
Explanation:
length of the vine (L) = 20 m
initial angle with the vertical = 45 degrees
final angle with the vertical = 30 degrees
acceleration due to gravity (g) = 9.8 m/s^{2}
speed (v) =?
to solve this problem we can apply the equation below:
loss in potential energy = gain in kinetic energy
m x g x h = 1/2 x m x ![v^{2}](https://tex.z-dn.net/?f=v%5E%7B2%7D)
v = ![\sqrt{2gh}](https://tex.z-dn.net/?f=%5Csqrt%7B2gh%7D)
before we can apply the above we need to get our height
height = initial vertical height - final vertical height
height = (L - L cosθ2) - (L - L cosθ1)
height = (20 - 20cos45) - (20 - 20cos30) = 3.2 m
v = ![\sqrt{2 x 9.8 x 3.2}](https://tex.z-dn.net/?f=%5Csqrt%7B2%20x%209.8%20x%203.2%7D)
v = 7.9 m/s
The diagram below shows the heating of an unknown substance (it is not water). Its melting point is? Where is the diagram