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bonufazy [111]
3 years ago
7

The distance between Pluto and the Sun is 39.1 times more than the distance between the Sun and Earth. Calculate the time taken

by Pluto to orbit the Sun in Earth days.
Physics
1 answer:
german3 years ago
7 0

Answer:

Explanation:

Given

Distance between Pluto and sun is 39.1 times more than the distance between earth and sun

According to Kepler's Law

T^2=kR^3

where k=constant

T=time period

R=Radius of orbit

Suppose R_1 is the radius of orbit of earth and sun

so Distance between Pluto and sun is R_2=39.1\cdot R_1

T_1 and T_2 is the time period corresponding to R_1 and R_2[/tex]

(T_1)^2=k(R_1)^3---1

(T_2)^2=k(R_2)^3---2

divide 1 and 2

(\frac{365}{T_2})^2=(\frac{R_1}{39.1})^3

T_2^2=365^2\times 39.1^3

T_2=89239.67\ Earth\ days                      

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