
Concept explainers
The circumferences of the two orbits, the separation between the stars, the total mass of the system and the individual mass of each star.

Answer to Problem 18P
The circumferences of the two orbits are
Explanation of Solution
Write the equation for the circumference of first orbit.
Here,
Write the equation for the circumference of second orbit.
Here,
Write the expression for the separation between two stars.
Here,
Write the expression for the angular speed.
Rewrite the expression for the separation between the stars.
Write the expression for the distance of first star by using equation (IV).
Here,
Write the expression for the distance of second star by using equation (IV).
Here,
Write the equation for the total mass of a visual binary system by using (V).
Here,
Write the expression for the total mass of the system.
Here,
Write the expression for the center of mass by using equation (VI) and (VII).
Here,
Conclusion:
Substitute,
Substitute,
Substitute,
Substitute,
Substitute,
Substitute,
Substitute,
Solving equation (XI) and (XII), value of the individual masses of star.
Thus, the circumferences of the two orbits are
Want to see more full solutions like this?
Chapter 9 Solutions
Foundations of Astronomy (MindTap Course List)
- (a) For a spherical capacitor with inner radius a and outer radius b, we have the following for the capacitance. ab C = k₂(b- a) 0.0695 m 0.145 m (8.99 × 10º N · m²/c²)( [0.145 m- 0.0695 m × 10-11 F = PF IIarrow_forwardA pendulum bob A (0.5 kg) is given an initialspeed of vA = 4 m/s when the chord ishorizontal. It then hits a stationary block B (1kg) which then slides to a maximum distanced before it stops. Determine the value of d.The coefficient of static friction between theblock and the plane is μk = 0.2. The coefficientof restitution between A and B is e = 0.8.Ans: d=1.0034 marrow_forwardFigure 29-43 Problem 12. ••13 In Fig. 29-44, point P₁ is at distance R = 13.1 cm on the perpendicular bisector of a straight wire of length L = 18.0 cm carrying current i = 58.2 mA. (Note that the wire is not long.) What is the magnitude of the magnetic field at P₁ due to i? P2° R R Larrow_forward
- Checkpoint 1 The figure shows the current i in a single-loop circuit with a battery B and a resistance R (and wires of neg- ligible resistance). (a) Should the emf arrow at B be drawn pointing leftward or rightward? At points a, B C R b, and c, rank (b) the magnitude of the current, (c) the electric potential, and (d) the electric potential energy of the charge carriers, greatest first.arrow_forwardPls help ASAParrow_forwardPls help asaparrow_forward
- Stars and Galaxies (MindTap Course List)PhysicsISBN:9781337399944Author:Michael A. SeedsPublisher:Cengage LearningFoundations of Astronomy (MindTap Course List)PhysicsISBN:9781337399920Author:Michael A. Seeds, Dana BackmanPublisher:Cengage LearningHorizons: Exploring the Universe (MindTap Course ...PhysicsISBN:9781305960961Author:Michael A. Seeds, Dana BackmanPublisher:Cengage Learning
- AstronomyPhysicsISBN:9781938168284Author:Andrew Fraknoi; David Morrison; Sidney C. WolffPublisher:OpenStaxStars and GalaxiesPhysicsISBN:9781305120785Author:Michael A. Seeds, Dana BackmanPublisher:Cengage LearningAn Introduction to Physical SciencePhysicsISBN:9781305079137Author:James Shipman, Jerry D. Wilson, Charles A. Higgins, Omar TorresPublisher:Cengage Learning





