Answer:
D I think I might be wrong its been a while scense I did something like that
Answer:
According to Newton's third law, for every action force there is an equal (in size) and opposite (in direction) reaction force. Together, these two forces exerted upon two different objects form the action-reaction force pair.
Explanation:
Sana makatulong ^_^
Time period of any moon of Jupiter is given by
![T = 2\pi \sqrt{\frac{r^3}{GM}}](https://tex.z-dn.net/?f=T%20%3D%202%5Cpi%20%5Csqrt%7B%5Cfrac%7Br%5E3%7D%7BGM%7D%7D)
from above formula we can say that mass of Jupiter is given by
![M = \frac{4 \pi^2 r^3}{GT^2}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B4%20%5Cpi%5E2%20r%5E3%7D%7BGT%5E2%7D)
now for part a)
![r = 4.22 * 10^8 m](https://tex.z-dn.net/?f=r%20%3D%204.22%20%2A%2010%5E8%20m)
T = 1.77 day = 152928 seconds
now by above formula
![M = \frac{4 \pi^2 r^3}{GT^2}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B4%20%5Cpi%5E2%20r%5E3%7D%7BGT%5E2%7D)
![M = \frac{4 \pi^2 (4.22 * 10^8)^3}{(6.67 * 10^{-11})(152928)^2}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B4%20%5Cpi%5E2%20%284.22%20%2A%2010%5E8%29%5E3%7D%7B%286.67%20%2A%2010%5E%7B-11%7D%29%28152928%29%5E2%7D)
![M = 1.9* 10^{27} kg](https://tex.z-dn.net/?f=M%20%3D%201.9%2A%2010%5E%7B27%7D%20kg)
Part B)
![r = 6.71 * 10^8 m](https://tex.z-dn.net/?f=r%20%3D%206.71%20%2A%2010%5E8%20m)
T = 3.55 day = 306720 seconds
now by above formula
![M = \frac{4 \pi^2 r^3}{GT^2}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B4%20%5Cpi%5E2%20r%5E3%7D%7BGT%5E2%7D)
![M = \frac{4 \pi^2 (6.71 * 10^8)^3}{(6.67 * 10^{-11})(306720)^2}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B4%20%5Cpi%5E2%20%286.71%20%2A%2010%5E8%29%5E3%7D%7B%286.67%20%2A%2010%5E%7B-11%7D%29%28306720%29%5E2%7D)
![M = 1.9* 10^{27} kg](https://tex.z-dn.net/?f=M%20%3D%201.9%2A%2010%5E%7B27%7D%20kg)
Part c)
![r = 10.7 * 10^8 m](https://tex.z-dn.net/?f=r%20%3D%2010.7%20%2A%2010%5E8%20m)
T = 7.16 day = 618624 seconds
now by above formula
![M = \frac{4 \pi^2 r^3}{GT^2}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B4%20%5Cpi%5E2%20r%5E3%7D%7BGT%5E2%7D)
![M = \frac{4 \pi^2 (10.7 * 10^8)^3}{(6.67 * 10^{-11})(618624)^2}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B4%20%5Cpi%5E2%20%2810.7%20%2A%2010%5E8%29%5E3%7D%7B%286.67%20%2A%2010%5E%7B-11%7D%29%28618624%29%5E2%7D)
![M = 1.89* 10^{27} kg](https://tex.z-dn.net/?f=M%20%3D%201.89%2A%2010%5E%7B27%7D%20kg)
PART D)
![r = 18.8 * 10^8 m](https://tex.z-dn.net/?f=r%20%3D%2018.8%20%2A%2010%5E8%20m)
T = 16.7 day = 1442880 seconds
now by above formula
![M = \frac{4 \pi^2 r^3}{GT^2}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B4%20%5Cpi%5E2%20r%5E3%7D%7BGT%5E2%7D)
![M = \frac{4 \pi^2 (18.8 * 10^8)^3}{(6.67 * 10^{-11})(1442880)^2}](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B4%20%5Cpi%5E2%20%2818.8%20%2A%2010%5E8%29%5E3%7D%7B%286.67%20%2A%2010%5E%7B-11%7D%29%281442880%29%5E2%7D)
![M = 1.889* 10^{27} kg](https://tex.z-dn.net/?f=M%20%3D%201.889%2A%2010%5E%7B27%7D%20kg)