EBK PHYSICS FOR SCIENTISTS AND ENGINEER
9th Edition
ISBN: 9780100460300
Author: SERWAY
Publisher: YUZU
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Chapter 13, Problem 13.6OQ
An object of mass m is located on the surface of a spherical planet of mass M and radius R. The escape speed from the planet does not depend on which of the following? (a) M (b) m (c) the density of the planet (d) R (e) the acceleration due to gravity on that planet
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An object of mass m is launched from a planet of mass M and radius R.
a)Derive and enter an expression for the minimum launch speed needed for the object to escape gravity, i.e. to be able to just reach r = ∞.
b)Calculate this minimum launch speed (called the escape speed), in meters per second, for a planet of mass M = 6 × 1023 kg and R = 76 × 104 km.
(a) What is the escape speed on a spherical asteroid whose radius is 106 km and whose gravitational acceleration at the surface is
0.104 m/s²? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 107 m/s? (c) With
what speed will an object hit the asteroid if it is dropped from 2168 km above the surface?
(a) Number
(b) Number i
(c) Number i
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a) If the legendary apple of Newton could be released from rest at a height of 4.2 m from the surface of a neutron star with a mass 2.2 times that of our sun (whose mass is 1.99 x 1030 kg) and a radius of 23 km, what would be the apple's speed when it reached the surface of the star? (b) If the apple could rest on the surface of the star, what would be the difference between the gravitational acceleration at the top and at the bottom of the apple? Take the apple to be a sphere with a radius of 3.4 cm.
Chapter 13 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
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