Concept explainers
(a)
The net gravitational force on the particle due to the two spheres.
(a)
Answer to Problem 21PQ
The net gravitational force on the particle due to the two spheres is
Explanation of Solution
Write the equation for the net force on the particle.
Here,
Write the equation for the force due to first sphere.
Here,
Write the equation of the separation distance.
Here,
Write the equation for the force due to first sphere.
Here,
Write the equation of the separation distance.
Here,
Rewrite the equation of net force from equation (I).
Conclusion:
Substitute
Thus, the net gravitational force on the particle due to the two spheres is
(b)
The position at which the net gravitational force on the particle will be zero.
(b)
Answer to Problem 21PQ
The position at which the net gravitational force on the particle will be zero is
Explanation of Solution
Considering the distance is
Write the equation of net force from equation (VI).
Here,
Conclusion:
Substitute
Rearrange the equation to find
The value
Thus, the position at which the net gravitational force on the particle will be zero is
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Chapter 7 Solutions
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