(a)
The gravitational force exerted by the Moon on a
(a)
Answer to Problem 58Q
Solution:
Explanation of Solution
Given data:
Average distance from the Moon to the center of Earth is
Diameter of Earth is
Mass of the rock is
Formula used:
Write the expression for universal law of gravitation between two objects.
Here
Explanation:
The the average distance from the Moon to the center of Earth is
For a point on Earth closest to the Moon, separation between the Moon
Refer to the expression for universal law of gravitation between two objects.
Upon substituting
Substitute
Conclusion:
Hence, the gravitational force of attraction that the Moon would exert on a
(b)
The gravitational force exerted by the Moon on a
(b)
Answer to Problem 58Q
Solution:
Explanation of Solution
Given data:
Average distance from the Moon to the center of Earth is
Diameter of Earth is
Mass of the rock is
Formula used:
Write the expression for universal law of gravitation between two objects
Here
Explanation:
The the average distance from the Moon to the center of Earth is
For a point on Earth farthest to the Moon, separation between the Moon
Refer to the expression for universal law of gravitation between two objects.
Upon substituting
Substitute
Conclusion:
Hence, the gravitational force that the Moon would exert on a
(c)
The difference between the gravitational force that the Moon would exert on a
(c)
Answer to Problem 58Q
Solution:
Explanation of Solution
Given data:
Average distance from the Moon to the center of Earth is
Diameter of Earth is
Mass of the rock is
Explanation:
The gravitational force of attraction
The gravitational force of attraction
Calculate the difference (say
As the difference between the gravitational force exerted by Moon on a 1 kg stone closest to the Earth’s surface and on a 1 kg stone farthest to the Earth’s surface is
Conclusion:
Hence, the difference between the gravitational force that the Moon would exert on a
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Chapter 4 Solutions
Universe
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