=) ) Calculate the gravitationial poten- tial difference between a point on the Earth's surface and a point 1600 km above the Earth's surface. (i) Calculate the minimum energy required to project á spacecraft of mass 2.0 x 10 kg from the surface of the Earth so that it escapes completely from the influence of the Earth's gravitational field. (Radius of Earth=6400 km; Universal Gravitational constant = 6.7 x 10-"N m kg; mass of the Earth 6.0 x 10 kg.) [AEB, '87]
=) ) Calculate the gravitationial poten- tial difference between a point on the Earth's surface and a point 1600 km above the Earth's surface. (i) Calculate the minimum energy required to project á spacecraft of mass 2.0 x 10 kg from the surface of the Earth so that it escapes completely from the influence of the Earth's gravitational field. (Radius of Earth=6400 km; Universal Gravitational constant = 6.7 x 10-"N m kg; mass of the Earth 6.0 x 10 kg.) [AEB, '87]
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter8: Central-force Motion
Section: Chapter Questions
Problem 8.42P
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![(c) (1) Calculate the gravitationial poten-
tial difference between a point on
the Earth's surface and a point
1600 km above the Earth's surface.
(ii) Calculate the minimum energy
required to project á spacecraft of
mass 2.0 x 10°kg from the surface
of the Earth so that it escapes
completely from the influence of
the Earth's gravitational field.
(Radius of Earth-6400 km; Universal
Gravitational constant = 6.7 x 10-N
m kg; mass of the Earth = 6.0 x
[AEB, '87]
10 kg.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a6d9c67-6f13-49d2-ac4d-2d996f90a88b%2F4d2ea85c-6167-4940-90a2-74fbab99cbbe%2F5owywcf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(c) (1) Calculate the gravitationial poten-
tial difference between a point on
the Earth's surface and a point
1600 km above the Earth's surface.
(ii) Calculate the minimum energy
required to project á spacecraft of
mass 2.0 x 10°kg from the surface
of the Earth so that it escapes
completely from the influence of
the Earth's gravitational field.
(Radius of Earth-6400 km; Universal
Gravitational constant = 6.7 x 10-N
m kg; mass of the Earth = 6.0 x
[AEB, '87]
10 kg.)
![(b) As a spacecraft falls towards the Earth, it
loses gravitational potential energy.
What becomes of the lost potential
energy
(1) when the spacecraft is falling freely
towards the Earth well away from
the Earth's atmosphere,
(ii) when the spacecraft is falling
through the Earth's atmosphere at
constant speed?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5a6d9c67-6f13-49d2-ac4d-2d996f90a88b%2F4d2ea85c-6167-4940-90a2-74fbab99cbbe%2Fwmctlls_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(b) As a spacecraft falls towards the Earth, it
loses gravitational potential energy.
What becomes of the lost potential
energy
(1) when the spacecraft is falling freely
towards the Earth well away from
the Earth's atmosphere,
(ii) when the spacecraft is falling
through the Earth's atmosphere at
constant speed?
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