(II) Every few hundred years most of the planets line up

Chapter 18, Problem 40P

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QUESTION:

(II) Every few hundred years most of the planets line up on the same side of the Sun. Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line (Fig.  ). The masses are \(M_{V}=0.815 M_{E}, M_{j}=318 M_{E}, M_{s}=95.1 M_{E}\), and their mean distances from the Sun are , and 1430 million , respectively. What fraction of the Sun's force on the Earth is this?

Equation Transcription:

Text Transcription:

MV=0.815ME, Mj=318ME, Ms=95.1ME

Questions & Answers

QUESTION:

(II) Every few hundred years most of the planets line up on the same side of the Sun. Calculate the total force on the Earth due to Venus, Jupiter, and Saturn, assuming all four planets are in a line (Fig.  ). The masses are \(M_{V}=0.815 M_{E}, M_{j}=318 M_{E}, M_{s}=95.1 M_{E}\), and their mean distances from the Sun are , and 1430 million , respectively. What fraction of the Sun's force on the Earth is this?

Equation Transcription:

Text Transcription:

MV=0.815ME, Mj=318ME, Ms=95.1ME

ANSWER:

Step 1 of 6

First we need to calculate the masses of planets in terms of Earth’s mass (ME)

Mass of Venus

Mass of Jupiter

Mass of Saturn

Distances of planets from the Sun:

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