gravitational potential energy function U(r) is shown for a planet with mass M and radius R. a) If a projectile is launched from the surface of the planet with a speed equal to the planets escape speed, how fast is the projectile travelling when it reaches a distance r = ∞ ? b) If a satellite orbiting the planet at an altitude of 2R encounters some friction (i.e. a patch of very thin atmosphere) that decreases its speed, what would you expect to happen to the radius of the satellites orbit, and why would you expect that to happen? (4))
gravitational potential energy function U(r) is shown for a planet with mass M and radius R. a) If a projectile is launched from the surface of the planet with a speed equal to the planets escape speed, how fast is the projectile travelling when it reaches a distance r = ∞ ? b) If a satellite orbiting the planet at an altitude of 2R encounters some friction (i.e. a patch of very thin atmosphere) that decreases its speed, what would you expect to happen to the radius of the satellites orbit, and why would you expect that to happen? (4))
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter8: Potential Energy And Conservation Of Energy
Section: Chapter Questions
Problem 81AP: Repeat the preceding problem, but this time, suppose that the work done by air resistance cannot be...
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question in the picture. I have solved part a, but I need help with part b
Transcribed Image Text:The universal gravitational potential energy
function U(r) is shown for a planet with
mass M and radius R.
a) If a projectile is launched from the
surface of the planet with a speed equal
to the planets escape speed, how fast is
the projectile travelling when it reaches a
distance r = o ?
b) If a satellite orbiting the planet at an altitude of 2R encounters some friction (i.e. a patch of
very thin atmosphere) that decreases its speed, what would you expect to happen to the radius
of the satellites orbit, and why would you expect that to happen?
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