(i)
The net force exerted on the grain.
(i)
Answer to Problem 1OQ
Option (c) zero.
Explanation of Solution
According to the inverse square law of Newton, the force of gravity acting between any two objects are inversely proportional to the square of the separation between the object's centers. The light intensity pressure will also follow the inverse square law of Newton.
If the grain is moved to a distance
Conclusion:
Both the gravity force and intensity pressure on the grain will decrease so the net force on the grain will be zero. Therefore, option (c) is correct.
Both the gravity force and intensity pressure on the grain will decrease so the net force on the grain will be zero. Since it is given as net force is towards the sun. Therefore, option (a) is incorrect.
Both the gravity force and intensity pressure on the grain will decrease so the net force on the grain will be zero. Since it is given as net force is away from the Sun. Therefore, option (b) is incorrect.
Both the gravity force and intensity pressure on the grain will decrease so the net force on the grain will be zero. Since it is given that it is not possible to determine the net force without the mass of the grain. Therefore, option (d) is incorrect.
(ii)
The net force exerted on the grain.
(ii)
Answer to Problem 1OQ
Option (a) toward the Sun.
Explanation of Solution
According to the inverse square law of Newton, the force of gravity acting between any two objects is inversely proportional to the square of the separation distance between the object's centers.
The light intensity pressure will also follow inverse square law of Newton.
The smaller grain presents less face area and feels a smaller force due to light pressure. So, net force will be towards the Sun.
Conclusion:
The smaller grain presents less face area and feels a smaller force due to light pressure. Therefore, option (a) is correct.
The smaller grain presents less face area and feels a smaller force due to light pressure. Since it is given as net force is away from the Sun. Therefore, option (b) is incorrect.
The smaller grain presents less face area and feels a smaller force due to light pressure. Since it is given as net force is zero. Therefore, option (c) is incorrect.
The smaller grain presents less face area and feels a smaller force due to light pressure. Since it is given that it is not possible to determine the net force without the mass of the grain. Therefore, option (d) is incorrect.
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Chapter 34 Solutions
Physics For Scientists And Engineers With Modern Physics, 9th Edition, The Ohio State University
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