
Concept explainers
(a)
The point at which the force of gravity on the spacecraft due to the Sun is as large as that due to the Earth.
(a)

Answer to Problem 155P
The point at which the force of gravity on the spacecraft due to the Sun is as large as that due to the Earth is
Explanation of Solution
Write the expression for the magnitude of gravitational force of Sun on the spacecraft.
Here,
Write the expression for the magnitude of gravitational force of Earth on the spacecraft.
Here,
Equate the right hand sides of equations (I) and (II) since the forces are to be equal, and solve for
Write the expression for
Use equation (IV) in (III).
The mass of Sun is
Conclusion:
Substitute
Therefore, the point at which the force of gravity on the spacecraft due to the Sun is as large as that due to the Earth is
(b)
Whether the net force on the spacecraft tend to push it toward or away from equilibrium point when the spacecraft is close to, but not at the equilibrium point.
(b)

Answer to Problem 155P
The net force on the spacecraft tend to push it
Explanation of Solution
At the equilibrium point, the gravitational force on the spacecraft due to the Sun and the Earth are equal in magnitude but opposite in direction. Thus, the net gravitational force is zero at that point. When the spacecraft is close to the Earth than at equilibrium point, the force due to Earth is greater than that due to the Sun. Similarly, when the spacecraft is close to the Sun than at equilibrium point, the force due to Sun is greater than that due to the Earth.
In both cases, if the spacecraft is close to, but not at the equilibrium point, then it will be pulled away from the equilibrium point such that it falls towards the stronger field source.
Conclusion:
Therefore, the net force on the spacecraft tend to push it
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Chapter 4 Solutions
Physics
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