Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line. The masses are Mv=0.815ME, MJ=318ME, Msat=95.1ME, Msun=1.99x10^30kg, ME=5.98x10^24kg and the mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. Apparently the answer is 9.56x10^17 N but I'm not sure how to get to that.-.,

Question

Aaliyah Brady

Physics

21 June, 04:46

Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line. The masses are Mv=0.815ME, MJ=318ME, Msat=95.1ME, Msun=1.99x10^30kg, ME=5.98x10^24kg and the mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. Apparently the answer is 9.56x10^17 N but I'm not sure how to get to that.-.,

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Answers (1)

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Kristin Mora · Answer 1

You need to consider the following:

Me (mass of Earth) = 5.98 x 10^24 kg

Ms (mass of Sun) = 1.99 x 10^30 kg

G = 6.67 x 10^-11 N

Formula:

F = G * M1M2/r^2

The ratio FT/F = 4.02x10^-4 / 14.8

= 2.72x10^-5

Since,

1/2.72x10^-5 = 36800

The fraction ratio is 1/36800

= 9.56x10^17 N