Physics for Scientists and Engineers
10th Edition
ISBN: 9781337553278
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 13, Problem 36AP
To determine
The time period of each of three stars is
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Chapter 13 Solutions
Physics for Scientists and Engineers
Ch. 13.1 - A planet has two moons of equal mass. Moon 1 is in...Ch. 13.2 - Superman stands on top of a very tall mountain and...Ch. 13.4 - An asteroid is in a highly eccentric elliptical...Ch. 13.6 - Prob. 13.4QQCh. 13 - In introductory physics laboratories, a typical...Ch. 13 - During a solar eclipse, the Moon, the Earth, and...Ch. 13 - Determine the order of magnitude of the...Ch. 13 - Prob. 4PCh. 13 - Review. Miranda, a satellite of Uranus, is shown...Ch. 13 - (a) Compute the vector gravitational field at a...
Ch. 13 - A spacecraft in the shape of a long cylinder has a...Ch. 13 - An artificial satellite circles the Earth in a...Ch. 13 - Prob. 9PCh. 13 - A particle of mass m moves along a straight line...Ch. 13 - Use Keplers third law to determine how many days...Ch. 13 - Prob. 12PCh. 13 - Suppose the Suns gravity were switched off. The...Ch. 13 - (a) Given that the period of the Moons orbit about...Ch. 13 - How much energy is required to move a 1 000-kg...Ch. 13 - An object is released from rest at an altitude h...Ch. 13 - A system consists of three particles, each of mass...Ch. 13 - Prob. 18PCh. 13 - A 500-kg satellite is in a circular orbit at an...Ch. 13 - Prob. 20PCh. 13 - Prob. 21PCh. 13 - Prob. 22PCh. 13 - Ganymede is the largest of Jupiters moons....Ch. 13 - Prob. 24APCh. 13 - Voyager 1 and Voyager 2 surveyed the surface of...Ch. 13 - Prob. 26APCh. 13 - Prob. 27APCh. 13 - Why is the following situation impossible? A...Ch. 13 - Let gM represent the difference in the...Ch. 13 - Prob. 30APCh. 13 - Prob. 31APCh. 13 - Prob. 32APCh. 13 - Prob. 33APCh. 13 - Two spheres having masses M and 2M and radii R and...Ch. 13 - (a) Show that the rate of change of the free-fall...Ch. 13 - Prob. 36APCh. 13 - Studies of the relationship of the Sun to our...Ch. 13 - Review. Two identical hard spheres, each of mass m...Ch. 13 - Prob. 39APCh. 13 - Prob. 40APCh. 13 - Prob. 41APCh. 13 - Prob. 42APCh. 13 - As thermonuclear fusion proceeds in its core, the...Ch. 13 - Two stars of masses M and m, separated by a...Ch. 13 - The Solar and Heliospheric Observatory (SOHO)...
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- Two stars of masses M and m, separated by a distance d, revolve in circular orbits about their center of mass (Fig. P11.50). Show that each star has a period given by T2=42d3G(M+m) Proceed as follows: Apply Newtons second law to each star. Note that the center-of-mass condition requires that Mr2 = mr1, where r1 + r2 = d.arrow_forwardShow that for eccentricity equal to one in Equation 13.10 for conic sections, the path is a parabola. Do this by substituting Cartersian coordinates, x and y, for the polar coordinates, r and , and showing that it has the general form for a parabola, x=ay2+by+c .arrow_forwardIf a spacecraft is headed for the outer solar system, it may require several gravitational slingshots with planets in the inner solar system. If a spacecraft undergoes a head-on slingshot with Venus as in Example 11.6, find the spacecrafts change in speed vS. Hint: Venuss orbital period is 1.94 107 s, and its average distance from the Sun is 1.08 1011 m.arrow_forward
- Suppose the gravitational acceleration at the surface of a certain moon A of Jupiter is 2 m/s2. Moon B has twice the mass and twice the radius of moon A. What is the gravitational acceleration at its surface? Neglect the gravitational acceleration due to Jupiter, (a) 8 m/s2 (b) 4 m/s2 (c) 2 m/s2 (d) 1 m/s2 (e) 0.5 m/s2arrow_forwardThe astronaut orbiting the Earth in Figure P3.27 is preparing to dock with a Westar VI satellite. The satellite is in a circular orbit 600 km above the Earth’s surface, where the free-fall acceleration is 8.21 m/s2. Take the radius of the Earth as 6 400 km. Determine the speed of the satellite and the time interval required to complete one orbit around the Earth, which is the period of the satellite. Figure P3.27arrow_forwardCalculate the effective gravitational field vector g at Earths surface at the poles and the equator. Take account of the difference in the equatorial (6378 km) and polar (6357 km) radius as well as the centrifugal force. How well does the result agree with the difference calculated with the result g = 9.780356[1 + 0.0052885 sin 2 0.0000059 sin2(2)]m/s2 where is the latitude?arrow_forward
- Two double stars, one having mass 1.0 Msun and the other 3.0 Msun, rotate about their common center of mass. Their separation is 6 light years. What is their period of revolution?arrow_forwardShow that the period of orbit for two masses, m1 and m2 , in circular orbits of radii r1 and r2 , respectively, about their common center-of mass, is given by T=2r3G(m1+m2) where r=r1+r2 . (Hint: The masses orbit at radii r1 and r2 , respectively where r=r1+r2 . Use the expression for the center-of-mass to relate the two radii and note that the two masses must have equal but opposite momenta. Start with the relationship of the period to the circumference and speed of orbit for one of the masses. Use the result of the previous problem using momenta in the expression for the kinetic energy.)arrow_forwardTwo stars M1 and M2 of equal mass make up a binary star system. They move in a circular orbit that has its center at the midpoint of the line that separates them. If M1 = M2 = 6.95 sm (solar mass), and the orbital period of each star is 2.45 days, find their orbital speed. (The mass of the sun is 1.99 1030 kg.)arrow_forward
- The gravitational attraction (N) between two identical spheres of mass 43 kg and radius 0.82 m in contact with each other is most closelyarrow_forwardThe centers of the earth and its moon are separated by an average of 3.84 c 10^5 m and the moon's mass is 7.35 c 10^22 kg. What does Earth's moon exert on a 10 kg mass?arrow_forwardAn artificial satellite is in a circular orbit 7.10×10^2 km from the surface of a planet of radius 5.30×10^3 km. The period of revolution of the satellite around the planet is 5.00 hours. What is the average density ?avg of the planet? kg/m^3 Hint given: The orbital radius of the satellite is the radius of the planet plus the distance of the satellite from the surface of the planet.arrow_forward
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