UNDERSTANDING THE UNIVERSE(LL)-W/CODE
3rd Edition
ISBN: 9780393869903
Author: PALEN
Publisher: NORTON
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Chapter 5, Problem 24QAP
To determine
The implication of conservation of energy and momentum.
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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.
r
r
M
M
1. What is the gravitational potential energy of the mass (m) in the picture? The mass is the same
distance away r 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
м- 2х1027 kg
2. What is the net gravitational force for the mass m at this location? Give your answer in
Newtons.
Suppose you're in a circular orbit around Saturn (M = 5.683 x 1026 kg) with a semi-major axis
of a = 237,948 km.
a. What is your orbital velocity?
b. Using the "Vis-viva" equation (which can be derived from the total energy)
v = GM
What is the delta-V you would need to get from your current orbit, into an elliptical orbit
that has an apoapsis near Titan (a = 1,221,870 km)?
Chapter 5 Solutions
UNDERSTANDING THE UNIVERSE(LL)-W/CODE
Ch. 5.1 - Prob. 5.1CYUCh. 5.2 - Prob. 5.2CYUCh. 5.3 - Prob. 5.3CYUCh. 5.4 - Prob. 5.4CYUCh. 5.5 - Prob. 5.5CYUCh. 5.6 - Prob. 5.6CYUCh. 5 - Prob. 1QAPCh. 5 - Prob. 2QAPCh. 5 - Prob. 3QAPCh. 5 - Prob. 4QAP
Ch. 5 - Prob. 5QAPCh. 5 - Prob. 6QAPCh. 5 - Prob. 7QAPCh. 5 - Prob. 8QAPCh. 5 - Prob. 9QAPCh. 5 - Prob. 10QAPCh. 5 - Prob. 11QAPCh. 5 - Prob. 12QAPCh. 5 - Prob. 13QAPCh. 5 - Prob. 14QAPCh. 5 - Prob. 15QAPCh. 5 - Prob. 16QAPCh. 5 - Prob. 17QAPCh. 5 - Prob. 18QAPCh. 5 - Prob. 19QAPCh. 5 - Prob. 20QAPCh. 5 - Prob. 21QAPCh. 5 - Prob. 22QAPCh. 5 - Prob. 23QAPCh. 5 - Prob. 24QAPCh. 5 - Prob. 25QAPCh. 5 - Prob. 27QAPCh. 5 - Prob. 28QAPCh. 5 - Prob. 29QAPCh. 5 - Prob. 30QAPCh. 5 - Prob. 31QAPCh. 5 - Prob. 32QAPCh. 5 - Prob. 34QAPCh. 5 - Prob. 35QAPCh. 5 - Prob. 36QAPCh. 5 - Prob. 37QAPCh. 5 - Prob. 38QAPCh. 5 - Prob. 39QAPCh. 5 - Prob. 40QAPCh. 5 - Prob. 41QAPCh. 5 - Prob. 42QAPCh. 5 - Prob. 43QAPCh. 5 - Prob. 44QAPCh. 5 - Prob. 45QAP
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- r M M m 1. What is the gravitational potential energy of the mass (m) in the picture? The mass is the same distance away r 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 = 7x10²2 kg М - 2x1027 kgarrow_forwardf the semi-major axis, a, is measured in AU and the orbital period, p, is measured in years, then Kepler's 3rd law allows us to calculate the mass of the object they are orbiting using the following equation: M = a3/p2 Furthermore, the mass that is calculated by this equation is given in solar masses (MSun) where, by definition, the Sun's mass is 1 MSun. Now, suppose I were to tell you that the mass of Jupiter is equal to 4.5e7 MSun. Does the stated mass of Jupiter make sense? Group of answer choices Yes No, it's too big. No, it's too smallarrow_forwardOld hw, trying to review for exam, please show all stepsarrow_forward
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