It takes Venus 225 days to orbit the sun. If the Earth-sun distance is 1.5 * 10^11 m, what

is the mean distance between Venus and the Sun?

Distance between Venus and Sun is 1.0864x10^11 m

Explanation:

Data

T1 (Total time taken by earth to rotate around sun) = 365 days

T2 (Total time taken by venus to rotate around sun) = 225 days

R1 (Radius b/w Sun and earth) = 1.5x10^11m

R2 (Distance between Venus and Sun) = ?

Solution

Apply Kepler Law

(R2) ^3 / (R1) ^3 = (T1) ^2 / (T2) ^2

(R2) ^3 / (1.5x10^11) ^3 = (225^2) / (365^2)

R2=1.0864x10^11m