(a)
To determine: An equation that gives
The required equation is
Given information:
The law of universal gravitation states that the gravitational force
Formula used:
Two variables
Two variables
Where,
Explanation:
The gravitational force
The gravitational force
From (1) and (2),
Therefore, the required equation is
(b)
To determine: The universal gravitational constant
Given information:
The law of universal gravitation states that the gravitational force
Formula used:
Two variables
Two variables
Where,
Explanation:
Consider the equation
Substitute
Therefore,
(c)
To determine: The effect on gravitational force if the masses of the two objects increase and the distance between them is held constant and if the masses of the two objects are held constant and the distance between them increases.
The gravitational force increases if the masses of the two objects increase and the distance between them is held constant and decreases if the masses of the two objects are held constant and the distance between them increases.
Given information:
The law of universal gravitation states that the gravitational force
Formula used:
Two variables
Two variables
Where,
Explanation:
The gravitational force between two objects varies jointly with their masses so, if the masses of the two objects increase and the distance between them is held constant then the gravitational force will also increase.
The gravitational force between two objects varies inversely with the square of the distance between the two objects so, if the masses of the two objects are held constant and the distance between them increases then the gravitational force will decrease.
Therefore, the gravitational force increases if the masses of the two objects increase and the distance between them is held constant and decreases if the masses of the two objects are held constant and the distance between them increases.
Chapter 5 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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