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
Want to see more full solutions like this?
Chapter 4 Solutions
PHYSICS
- Required information Two speakers vibrate in phase with each other at 523 Hz. At certain points in the room, the sound waves from the two speakers interfere destructively. One such point is 1.45 m from speaker #1 and is between 2.00 m and 4.00 m from speaker #2. The speed of sound in air is 343 m/s. How far is this point from speaker #2? marrow_forwarda) Consider the following function, where A is a constant. y(x,t) = A(x — vt). Can this represent a wave that travels along? Explain. b) Which of the following are possible traveling waves, provide your reasoning and give the velocity of the wave if it can be a traveling wave. e-(a²x²+b²²-2abtx b.1) y(x,t) b.2) y(x,t) = = A sin(ax² - bt²). 2 b.3) y(x,t) = A sin 2π (+) b.4) y(x,t) = A cos² 2π(t-x). b.5) y(x,t) = A cos wt sin(kx - wt)arrow_forwardThe capacitor in (Figure 1) is initially uncharged. The switch is closed at t=0. Immediately after the switch is closed, what is the current through the resistor R1, R2, and R3? What is the final charge on the capacitor? Please explain all steps.arrow_forward
- Suppose you have a lens system that is to be used primarily for 620-nm light. What is the second thinnest coating of fluorite (calcium fluoride) that would be non-reflective for this wavelength? × nm 434arrow_forwardThe angle between the axes of two polarizing filters is 19.0°. By how much does the second filter reduce the intensity of the light coming through the first? I = 0.106 40 xarrow_forwardAn oil slick on water is 82.3 nm thick and illuminated by white light incident perpendicular to its surface. What color does the oil appear (what is the most constructively reflected wavelength, in nanometers), given its index of refraction is 1.43? (Assume the index of refraction of water is 1.33.) wavelength color 675 × nm red (1 660 nm)arrow_forward
- A 1.50 μF capacitor is charging through a 16.0 Ω resistor using a 15.0 V battery. What will be the current when the capacitor has acquired 1/4 of its maximum charge? Please explain all stepsarrow_forwardIn the circuit shown in the figure (Figure 1), the 6.0 Ω resistor is consuming energy at a rate of 24 J/s when the current through it flows as shown. What are the polarity and emf of the battery E, assuming it has negligible internal resistance? Please explain all steps. I know you need to use the loop rule, but I keep getting the answer wrong.arrow_forwardIf you connect a 1.8 F and a 2.6 F capacitor in series, what will be the equivalent capacitance?arrow_forward
- Suppose that a particular heart defibrillator uses a 1.5 x 10-5 Farad capacitor. If it is charged up to a voltage of 7300 volts, how much energy is stored in the capacitor? Give your answer as the number of Joules.arrow_forwardThe voltage difference across an 8.3 nanometer thick cell membrane is 6.5 x 10-5volts. What is the magnitude of the electric field inside this cell membrane? (Assume the field is uniform, and give your answer as the number of Volts per meter... which is the same as the number of Newtons per Coulomb.)arrow_forwardThree identical capacitors are connected in parallel. When this parallel assembly of capacitors is connected to a 12 volt battery, a total of 3.1 x 10-5 coulombs flows through the battery. What is the capacitance of one individual capacitor? (Give your answer as the number of Farads.)arrow_forward
- College PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningUniversity Physics (14th Edition)PhysicsISBN:9780133969290Author:Hugh D. Young, Roger A. FreedmanPublisher:PEARSONIntroduction To Quantum MechanicsPhysicsISBN:9781107189638Author:Griffiths, David J., Schroeter, Darrell F.Publisher:Cambridge University Press
- Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningLecture- Tutorials for Introductory AstronomyPhysicsISBN:9780321820464Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina BrissendenPublisher:Addison-WesleyCollege Physics: A Strategic Approach (4th Editio...PhysicsISBN:9780134609034Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart FieldPublisher:PEARSON





