Question

NEED HELP FAST!! 100 POINTS!!

I need to figure out what the missing data is in the chart for each of the comets using Kepler's 3rd law!

Answer 1

Step-by-step explanation:

For all of these, we will say T^2= R^3 because both the comet and earth rotate around the same central object (the sun).

For Wirtanen. We are given T^2 = 29.50 and since we know T^2= R^3;

R^3= 29.50

since
`T=√(T^2)` we just take the square root and find; T=5.43 years

For Wild 2 we are given

T= 6.41 years which means T^2 = 41.0881 and therefore r^3 also = 41.0881

since
`r=\sqrt[3]{r^3}` take the cubed root and get 3.45 AU

Finally for Hailey we are given r =17.83 Au we will now cube that to get r^3= 5668.32 and therefore T^2 also equal 5668.32

since
`T=√(T^2)` we just take the square root and find; T=75.2882 years

Hope this helps