21ST CENT.AST.W/WKBK+SMARTWORK >BI<
21ST CENT.AST.W/WKBK+SMARTWORK >BI<
6th Edition
ISBN: 9780393415216
Author: Kay
Publisher: NORTON
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Chapter 3, Problem 45QP

(a)

To determine

Find the value of major axis and semimajor axis of Mars.

(b)

To determine

Find the distance from the center of the orbit to the Sun and eccentricity of Mars orbit and compare it with Earth’s eccentricity. 

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M M 1. What is the gravitational potential energy of the mass (m) in the picture? The mass is the same distance awayr from the centers of both of the other masses, and both of the other masses have the same mass, M. Give your answer in Joules. r= 400 million meters m = 7x1022 kg M = 2x1027 kg 2. What is the net gravitational force for the mass m at this location? Give your answer in Newtons.
A newly discovered planet orbits a distant star with the same mass as the Sun at an average distance of 122 million kilometers. Its orbital eccentricity is 0.5.  1. Find the planet's orbital period. Express your answer in years to three significant figures. 2. Find the planet's nearest and farthest orbital distances from its star. Express your answers in millions of kilometers to three significant figures separated by a comma.
Part B. 1. The table below shows the gravitational force between Saturn and some ring particles that are at different distance from the planet. All of the particles have a mass of 1 kg. Table 1. Distance and Gravitational Force Data Distance of 1- Gravitational kg Ring Particle from Force between Saturn and 1-kg ring particle (in | 10,000 N) 2. Use the data in the table to make a graph of the relationship between distance and gravitational force. Label your graph "Gravitational Force and distance". Center of Saturn (in | 1,000 km) 100 38 Hint: Put the data for distance on the horizontal axis and the data for gravitational force on the vertical axis. 120 26 130 22 150 17 3. Look at your graphed data, and record in your answering sheet any relationship you notice. 180 12 200 9. 220 8 250 280 O 5
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