Questions 3 and 4 below refer to the universal gravitational potential energy function U(r) for a planet with mass M and radius R, which is shown in the figure below. R 3. If a projectile is launched from the surface of the planet with a speed equal to the planets escape speed, how much mechanical energy does it have when it reaches a distance r = ∞o? U(r) I Distance from center of planet, r
Questions 3 and 4 below refer to the universal gravitational potential energy function U(r) for a planet with mass M and radius R, which is shown in the figure below. R 3. If a projectile is launched from the surface of the planet with a speed equal to the planets escape speed, how much mechanical energy does it have when it reaches a distance r = ∞o? U(r) I Distance from center of planet, r
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Chapter1: Units, Trigonometry. And Vectors
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![Questions 3 and 4 below refer to the universal gravitational potential energy function U(r) for a
planet with mass M and radius R, which is shown in the figure below.
R
3.
If a projectile is launched from the surface of
the planet with a speed equal to the planets
escape speed, how much mechanical energy
does it have when it reaches a distance
r = ∞ ?
(n
I
I
I
Distance from center of planet, r
4.
If an astronaut who is orbiting the planet at a radius of 3R wants to move their orbit to a radius
of 2R, what direction should they fire their thrusters? (and how is your answer supported by the
given graph of U(r) ?)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F03ee7fb4-b1d7-4f35-a15b-4bc6954070e5%2F9c9a4892-e842-4fea-8b63-8ed3189008ba%2Fme3eiov_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Questions 3 and 4 below refer to the universal gravitational potential energy function U(r) for a
planet with mass M and radius R, which is shown in the figure below.
R
3.
If a projectile is launched from the surface of
the planet with a speed equal to the planets
escape speed, how much mechanical energy
does it have when it reaches a distance
r = ∞ ?
(n
I
I
I
Distance from center of planet, r
4.
If an astronaut who is orbiting the planet at a radius of 3R wants to move their orbit to a radius
of 2R, what direction should they fire their thrusters? (and how is your answer supported by the
given graph of U(r) ?)
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If an astronaut who is orbiting the planet at a radius of 3R wants to move their orbit to a radius of 2R, what direction should they fire their thrusters? (and how is your answer supported by the given graph of U(r) ?)
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