Classical Dynamics of Particles and Systems
5th Edition
ISBN: 9780534408961
Author: Stephen T. Thornton, Jerry B. Marion
Publisher: Cengage Learning
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Chapter 5, Problem 5.3P
To determine
The escape velocity corresponding to earth.
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Find the escape speed (in m/s) of a projectile from the surface of Jupiter.
Find the escape velocity ve for an object of mass m that is initially at a distance R from the center of a planet of mass M. Assume that R≥Rplanet, the radius of the planet, and ignore air resistance.
Express the escape velocity in terms of R, M, m, and G, the universal gravitational constant.
2. (a) What are meant by gravitational potential and gravitational field? How far away fromthe earth does the acceleration due to gravity become 10% of its value on the earth’ssurface? NB:The radius of the earth is 6370 km. (b) What is meant by escape velocity? Show that the escape velocity from the surface of earthis √2 times the velocity of projection of an artificial satellite orbiting close around the earth.Obtain the escape velocity of an atmospheric particle 100 km above the earth’s surface. Giventhat ME = 5.98 × 1024 kg, RE = 6370 km, G = 6.67 × 10-11 N.m2/kg2.
Chapter 5 Solutions
Classical Dynamics of Particles and Systems
Ch. 5 - Prob. 5.3PCh. 5 - Compute directly the gravitational force on a unit...Ch. 5 - Prob. 5.7PCh. 5 - Prob. 5.8PCh. 5 - A planet of density 1 (spherical core, radius R1)...Ch. 5 - Prob. 5.16PCh. 5 - A thin disk of mass M and radius R lies in the (x,...Ch. 5 - A point mass m is located a distance D from the...
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- Find the escape speed of a projectile from the surface of Mars.arrow_forwardWhat is the ratio of the speed at perihelion to that at aphelion for the comet Lagerkvist in the previous problem?arrow_forwardShow that the areal velocity for a circular orbit of radius r about a mass M is At=12GMr . Does your expression give the correct value for Earth’s areal vilocity about the Sun?arrow_forward
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