Concept explainers
(a)
The rate of change of gravitational force
(a)
Answer to Problem 52PQ
The rate of change of gravitational force
Explanation of Solution
Write the expression for the gravitational force between two masses.
Here,
Differentiate equation (I) with respect to
Conclusion:
Therefore, the rate of change of gravitational force
(b)
The value of
(b)
Answer to Problem 52PQ
For the Sun-Earth system
Explanation of Solution
The distance between the Sun and Earth is
Equation (II) gives the expression for rate of change of gravitational force with respect to the distance of separation.
Conclusion:
Substitute
Substitute
Therefore, for the Sun-Earth system
(c)
When the Earth-Moon distance remains the same, but the Earth is moved closer to the Sun, whether there is any point where
(c)
Answer to Problem 52PQ
When the Earth-Moon distance remains the same, but the Earth is moved closer to the Sun, there is a point
Explanation of Solution
Given that the value of
The position corresponding to the condition when the Earth is moved closer to the Sun, but
Conclusion:
Substitute
Therefore, when the Earth-Moon distance remains the same, but the Earth is moved closer to the Sun, there is a point
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Chapter 7 Solutions
Physics for Scientists and Engineers: Foundations and Connections, Advance Edition, Volume 2
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