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28 Oct 2021
Given information
The radius of a hypothetical planet is 
times that of Earth, but its mass is the same.
Step-by-step explanation
Step 1.
As we all know, a uniform circular motion occurs when an item moves in a circle with a radius of 
and a constant speed of 
. It possesses a radial acceleration 
that is oriented radially toward the circle's center, which is given by
The direction of the velocity vector and the acceleration vector is constantly changing, but they are always perpendicular to each other. When the speed of circular motion is not constant, there are two components to the acceleration: tangential and centripetal. Newton's law of universal gravitation states that every particle in the cosmos attracts every other particle with a force proportional to the product of their masses and inversely proportional to the square of their separation:
is constantly changing, but they are always perpendicular to each other. When the speed of circular motion is not constant, there are two components to the acceleration: tangential and centripetal. Newton's law of universal gravitation states that every particle in the cosmos attracts every other particle with a force proportional to the product of their masses and inversely proportional to the square of their separation:
The force is always attracting, and it is directed along the line connecting the two particles. The Moon revolves around the Earth, and the planets revolve around the Sun, thanks to this gravitational attraction.
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Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922
Solutions
Chapter
Section
- Problem 1a
- Problem 1b
- Problem 2
- Problem 3
- Problem 4
- Problem 5
- Problem 6
- Problem 7
- Problem 8
- Problem 9
- Problem 10
- Problem 10a
- Problem 10b
- Problem 11
- Problem 12
- Problem 12b
- Problem 12c
- Problem 13
- Problem 14
- Problem 15
- Problem 16
- Problem 17
- Problem 18
- Problem 19
- Problem 19a
- Problem 19b
- Problem 19c
- Problem 20
- Problem 21
- Problem 21
- Problem 22
- Problem 23
- Problem 24
- Problem 25
- Problem 26a
- Problem 26b
- Problem 26c
- Problem 27
- Problem 27a
- Problem 27b
- Problem 28
- Problem 29
- Problem 29a
- Problem 29b
- Problem 30
- Problem 31
- Problem 32
- Problem 33
- Problem 34
- Problem 35
- Problem 36
- Problem 37
- Problem 38
- Problem 39
- Problem 39a
- Problem 39b
- Problem 40
- Problem 41
- Problem 42
- Problem 43
- Problem 44
- Problem 45
- Problem 46
- Problem 47
- Problem 48
- Problem 49
- Problem 50
- Problem 51
- Problem 51a
- Problem 51b
- Problem 51c
- Problem 51d
- Problem 51e
- Problem 52
- Problem 53
- Problem 53a
- Problem 53b
- Problem 54
- Problem 54a
- Problem 55
- Problem 56
- Problem 57
- Problem 58
- Problem 59
- Problem 60
- Problem 61
- Problem 62a
- Problem 62b
- Problem 63
- Problem 64
- Problem 65
- Problem 66a
- Problem 66b
- Problem 66c