Physics for Scientists and Engineers, Technology Update (No access codes included)
Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 13, Problem 13.68AP

Review. Two identical hard spheres, each of mass m and radius r, are released from rest in otherwise empty space with their centers separated by the distance R. They are allowed to collide under the influence of their gravitational attraction. (a) Show that the magnitude of the impulse received by each sphere before they make contact is given by [Gm3(1/2r − 1/R)1/2. (b) What If? Find the magnitude of the impulse each receives during their contact if they collide elastically.

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Two identical hard spheres, each of mass m and radius r, are released from rest in otherwise empty space with their centers separated by the distance R. They are allowed to collide under the influence of their gravitational attraction. (a) Show that the magnitude of the impulse received by each sphere before they make contact is given by [Gm3(1/2r - 1/R)]1/2. (b) What If? Find the magnitude of the impulse each receives during their contact if they collide elastically.
A spaceship has length 120 m, diameter 25 m, and mass 4.0 x 103 kg as measured by its crew. As the spaceship moves parallel to its cylindrical axis and passes us, we measure its length to be 90 m. (a) What do we measure its diameter to be? (b) What do we measure the magnitude of its momentum to be?
Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare time joyfully scampering about on the cage's floor. Bryce tracks his mice's health diligently and just now recorded their masses as m₁ = 0.0145 kg, m2 = 0.0141 kg, m3 = 0.0245 kg, and m4 = 0.0105 kg. At this very instant, the x and y components (Ux, U,) of the mice's velocities are, respectively, (U₁x, U₁₁y) = (0.591 m/s, -0.425 m/s,) (v2.x, U2,y) = (-0.605 m/s, -0.933 m/s,) (v3,x, U3,y) = (0.259 m/s, 0.305 m/s), and (V4x, V4,y) = (-0.211 m/s, 0.569 m/s). Calculate the x and y components px and py of Bryce's mice's total momentum. Px = kg.m/s Py = kg.m/s

Chapter 13 Solutions

Physics for Scientists and Engineers, Technology Update (No access codes included)

Ch. 13 - Prob. 13.7OQCh. 13 - The vernal equinox and the autumnal equinox are...Ch. 13 - Rank the magnitudes of the following gravitational...Ch. 13 - The gravitational force exerted on an astronaut on...Ch. 13 - Prob. 13.11OQCh. 13 - Each Voyager spacecraft was accelerated toward...Ch. 13 - In his 1798 experiment, Cavendish was said to have...Ch. 13 - Prob. 13.3CQCh. 13 - Prob. 13.4CQCh. 13 - Prob. 13.5CQCh. 13 - Prob. 13.6CQCh. 13 - Prob. 13.7CQCh. 13 - Prob. 13.8CQCh. 13 - A satellite in low-Earth orbit is not truly...Ch. 13 - In introductory physics laboratories, a typical...Ch. 13 - Determine the order of magnitude of the...Ch. 13 - A 200-kg object and a 500-kg object are separated...Ch. 13 - During a solar eclipse, the Moon, the Earth, and...Ch. 13 - Two ocean liners, each with a mass of 40 000...Ch. 13 - Three uniform spheres of masses m1 = 2.00 kg, m2 =...Ch. 13 - Two identical isolated particles, each of mass...Ch. 13 - Prob. 13.8PCh. 13 - Two objects attract each other with a...Ch. 13 - Review. A student proposes to study the...Ch. 13 - Prob. 13.11PCh. 13 - Prob. 13.12PCh. 13 - Review. Miranda, a satellite of Uranus, is shown...Ch. 13 - (a) Compute the vector gravitational field at a...Ch. 13 - Three objects of equal mass are located at three...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 - Io, a satellite of Jupiter, has an orbital period...Ch. 13 - A minimum-energy transfer orbit to an outer planet...Ch. 13 - A particle of mass m moves along a straight line...Ch. 13 - Plasketts binary system consists of two starts...Ch. 13 - Two planets X and Y travel counterclockwise in...Ch. 13 - Comet Halley (Fig. P13.23) approaches the Sun to...Ch. 13 - Prob. 13.24PCh. 13 - Use Keplers third law to determine how many days...Ch. 13 - Neutron stars are extremely dense objects formed...Ch. 13 - A synchronous satellite, which always remains...Ch. 13 - (a) Given that the period of the Moons orbit about...Ch. 13 - Suppose the Suns gravity were switched off. The...Ch. 13 - A satellite in Earth orbit has a mass of 100 kg...Ch. 13 - How much work is done by the Moons gravitational...Ch. 13 - How much energy is required to move a 1 000-kg...Ch. 13 - Prob. 13.33PCh. 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. 13.36PCh. 13 - A 500-kg satellite is in a circular orbit at an...Ch. 13 - Prob. 13.38PCh. 13 - Prob. 13.39PCh. 13 - Prob. 13.40PCh. 13 - Prob. 13.41PCh. 13 - Prob. 13.42PCh. 13 - Prob. 13.43PCh. 13 - Prob. 13.44PCh. 13 - Prob. 13.45PCh. 13 - Prob. 13.46PCh. 13 - Ganymede is the largest of Jupiters moons....Ch. 13 - Prob. 13.48PCh. 13 - At the Earths surface, a projectile is launched...Ch. 13 - Prob. 13.50APCh. 13 - Prob. 13.51APCh. 13 - Voyager 1 and Voyager 2 surveyed the surface of...Ch. 13 - A satellite is in a circular orbit around the...Ch. 13 - Why is the following situation impossible? A...Ch. 13 - Let gM represent the difference in the...Ch. 13 - Prob. 13.56APCh. 13 - Prob. 13.57APCh. 13 - Prob. 13.58APCh. 13 - Prob. 13.59APCh. 13 - Two spheres having masses M and 2M and radii R and...Ch. 13 - Two hypothetical planets of masses m1 and m2 and...Ch. 13 - (a) Show that the rate of change of the free-fall...Ch. 13 - A ring of matter is a familiar structure in...Ch. 13 - Prob. 13.64APCh. 13 - Review. As an astronaut, you observe a small...Ch. 13 - Prob. 13.66APCh. 13 - Studies of the relationship of the Sun to our...Ch. 13 - Review. Two identical hard spheres, each of mass m...Ch. 13 - Prob. 13.69APCh. 13 - Prob. 13.70APCh. 13 - Prob. 13.71APCh. 13 - Prob. 13.72APCh. 13 - Prob. 13.73APCh. 13 - Two stars of masses M and m, separated by a...Ch. 13 - Two identical particles, each of mass 1 000 kg,...Ch. 13 - Prob. 13.76APCh. 13 - As thermonuclear fusion proceeds in its core, the...Ch. 13 - The Solar and Heliospheric Observatory (SOHO)...Ch. 13 - The oldest artificial satellite still in orbit is...Ch. 13 - Prob. 13.80CP

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