Question

Earth and Mars are 1.0 AU and 1.52 AU away from the Sun, respectively. Given that...

Earth and Mars are 1.0 AU and 1.52 AU away from the Sun, respectively. Given that the period of Earth's orbit around the Sun is 1 yr, calculate the period of the orbit of Mars around the Sun. (1 AU = 150 × 106 km)

a. 0.28 yr

b. 1.9 yr

c. 0.53 yr

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Answer #1

R1= 1 AU and R2 =1.52 AU

T1 = 1 yr and T2 = ?

We know that , (T1^2)/(R1^3) = (T2^2)/(R2^3)

(1^2)/(1^3) =(T2^2)/(1.52^3)

1*3.512 = T2^2

T2 = 1.874 AU

Approximately , T2 = 1.9 AU

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