
Concept explainers
(a)
The gravitational force on the particle of mass
(a)

Answer to Problem 64P
The gravitational force on the particle of mass
Explanation of Solution
Given data:
Following figure shows the distribution of masses on the semi-circular arc of radius
Formula Used:
The expression for the gravitational force between the masses
Here,
Calculation:
Radius of the arc is
Choose the unit vector
The gravitational force between the masses
The gravitational force between the masses
The gravitational force between the masses
The gravitational force between the masses
Hence, net force on the particle of mass
Substitute the values and solve:
Conclusion:
Therefore, the gravitational force on the particle of mass
(b)
The gravitational field at center of curvature of the arc.
(b)

Answer to Problem 64P
The gravitational field at center of curvature of the arc is
Explanation of Solution
Given data:
Following figure shows the distribution of masses on the semi-circular arc of radius
Formula Used:
Gravitational field at a point is:
Here, net gravitational force is
Calculation:
The gravitational field at the center of curvature of the arc can be determined as follows.
Substitute
Conclusion:
The gravitational field at center of curvature of the arc is
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Chapter 11 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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