Loose Leaf For Explorations: Introduction To Astronomy
9th Edition
ISBN: 9781260432145
Author: Thomas T Arny, Stephen E Schneider Professor
Publisher: McGraw-Hill Education
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Chapter 4, Problem 3EP
To determine
The how much slowly does the time runs in the given two places.
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Suppose that a planet were discovered between the Sun and Mercury, with a circular
orbit of radius equal to 2/3 of the average orbit radius of Mercury. What would be the
orbital period of such a planet? (Such a planet was once postulated, in part to explain
the precession of Mercury's orbit. It was even given the name Vulcan, although we now
have no evidence that it actually exists. Mercury's precession has been explained by
general relativity.)
The mass of Mars is M = 6,42 · 1023 kg, and its radius is R = 3396 km.a) Determine the gravitational acceleration on the surface of Mars.b) How high can an astronaut jump on Mars and how high on Earth if in both caseshe leaves the ground with a starting speed v0 = 1 m/s?The value of the gravitational constant is G = 6,67 · 10−11 m3 kg−1s−2.
So let's consider a person with a mass of 51.0 kg standing on the Earth. To find the gravitational force on the person, we'll again use Newton's law of universal gravitation with the Earth as
m2
and the radius of the Earth for the distance
F =
GmME
RE2
.
Now all we need to do is substitute values and calculate. We already said
m = 51.0 kg,
and we know
G = 6.67 ✕ 10−11 N · m2/kg2.
The Earth is not a perfect sphere, but, its average radius is
RE = 6.37 ✕ 106 m.
The mass of the Earth is
ME = 5.97 ✕ 10−24 kg.
We can then substitute these values in the following formula. (Enter your answer in N.)
F =
(6.67 ✕ 10−11 N · m2/kg2)(51.0 kg)(5.97 ✕ 1024 kg)
(6.37 ✕ 106 m)2
(A) = _______ N
Now let's compare this result to the person's weight (in N) found by multiplying the person's mass by g (or, that is,
w = mg)
where
g = 9.80 m/s2.
w = (51.0 kg)(9.80 m/s2) =(b) __________________ N
You should have found that these two methods give about the same result!…
Chapter 4 Solutions
Loose Leaf For Explorations: Introduction To Astronomy
Ch. 4 - Prob. 1QFRCh. 4 - Prob. 2QFRCh. 4 - Prob. 3QFRCh. 4 - Prob. 4QFRCh. 4 - Prob. 5QFRCh. 4 - Describe the Kelvin temperature scale.Ch. 4 - Prob. 7QFRCh. 4 - Prob. 8QFRCh. 4 - Prob. 9QFRCh. 4 - Prob. 10QFR
Ch. 4 - Prob. 11QFRCh. 4 - Prob. 12QFRCh. 4 - Prob. 1TQCh. 4 - Prob. 2TQCh. 4 - Prob. 3TQCh. 4 - Prob. 4TQCh. 4 - (4.3/4.4/4.5) Given that water absorbs microwaves...Ch. 4 - Prob. 6TQCh. 4 - Prob. 7TQCh. 4 - Prob. 8TQCh. 4 - Prob. 9TQCh. 4 - Prob. 10TQCh. 4 - (4.1) Use the Suns distance of 150 million...Ch. 4 - (4.1) Suppose you are operating a...Ch. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prob. 8PCh. 4 - (4. 6) Calculate the Doppler shift for blue light...Ch. 4 - Prob. 10PCh. 4 - (4.2) Which kind of light travels fastest? (a)...Ch. 4 - Prob. 2TYCh. 4 - Prob. 3TYCh. 4 - Prob. 4TYCh. 4 - Prob. 5TYCh. 4 - Prob. 6TYCh. 4 - Prob. 7TYCh. 4 - Prob. 8TYCh. 4 - What is Galilean relativity? Give an example of...Ch. 4 - Prob. 2EQFRCh. 4 - Prob. 3EQFRCh. 4 - Prob. 4EQFRCh. 4 - What is meant by panspermia?Ch. 4 - Prob. 6EQFRCh. 4 - Prob. 7EQFRCh. 4 - Prob. 1ETQCh. 4 - Prob. 2ETQCh. 4 - Prob. 3ETQCh. 4 - Prob. 1EPCh. 4 - Mercury orbits the Sun at speeds ranging from 59...Ch. 4 - Prob. 3EPCh. 4 - Prob. 1ETYCh. 4 - The Miller-Urey experiment demonstrated that (a)...Ch. 4 - Prob. 3ETYCh. 4 - Prob. 4ETYCh. 4 - Prob. 5ETY
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