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# (II) Every few hundred years most of the planets line up ISBN: 9780130606204 3

## Solution for problem 40P Chapter 5

Physics: Principles with Applications | 6th Edition

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Problem 40P

Problem

(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. 5-44. The masses are mV = 0.S15 mE, mJ = 31S mE, mSat =95.1 mE, and the mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. What fraction of the Sun's force on the Earth is this? Step-by-Step Solution:

Step by step solution

Step 1</p>

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:    Step 2 </p>

We need to find the ratio of the gravitational force between the Earth and other planets ( ) and the gravitational force between the Sun and Earth (  =?

Step 3</p> First we need to calculate the gravitational force between the Earth and the planets: The first term is due to the interaction between the Venus and the Earth, and the second one to the Earth and Jupiter and Saturn. It can be seen from the image above.

It would be easier to express everything in GME, so we will do it now.

Step 4 of 6

Step 5 of 6

##### ISBN: 9780130606204

This textbook survival guide was created for the textbook: Physics: Principles with Applications, edition: 6. The full step-by-step solution to problem: 40P from chapter: 5 was answered by , our top Physics solution expert on 03/03/17, 03:53PM. The answer to “(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. 5-44. The masses are mV = 0.S15 mE, mJ = 31S mE, mSat =95.1 mE, and the mean distances of the four planets from the Sun are 108, 150, 778, and 1430 million km. What fraction of the Sun's force on the Earth is this?” is broken down into a number of easy to follow steps, and 85 words. Since the solution to 40P from 5 chapter was answered, more than 400 students have viewed the full step-by-step answer. This full solution covers the following key subjects: planets, sun, line, Force, EARTH. This expansive textbook survival guide covers 35 chapters, and 3914 solutions. Physics: Principles with Applications was written by and is associated to the ISBN: 9780130606204.

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