a) Find the mass of the planet mp in terms of vi t, r, and any necessary constants. b) You decide to orbit the planet in your spacecraft at a distance R above the surface of the planet. Find the time required to complete one orbit in terms of R, r, Vi, t, and any necessary constants. c) Find the escape velocity ve– the initial velocity necessary for an object to barely escape the gravitational pull of the planet. Express your answer in terms of vi, r, t, and any necessary constants.

University Physics Volume 1
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ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
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Chapter5: Newton's Law Of Motion
Section: Chapter Questions
Problem 2CQ: Taking a frame attached to Earth as inertial, which of the following objects cannot have inertial...
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You go where no one has gone before and discover an interesting planet of radius r. When you
arrive, you clearly want to do some experiments to learn more about this world. You begin with
some simple kinematics and measure the time t for an object thrown directly up with velocity vi
to return to your hand. With this information, you find that the acceleration due to gravity g is
much lower than on Earth.
a) Find the mass of the planet mp in terms of vi, t, r, and any necessary constants.
b) You decide to orbit the planet in your spacecraft at a distance R above the surface of the
planet. Find the time required to complete one orbit in terms of R, r, Vi, t, and any necessary
constants.
c) Find the escape velocity ve– the initial velocity necessary for an object to barely escape the
gravitational pull of the planet. Express your answer in terms of Vi, r, t, and any necessary
constants.
d) Find the distance from the planet's center at which an object launched from the surface with
velocity v will have lost 90% of its initial kinetic energy at the surface in terms of v, vi, r, t, and
any necessary constants.
Transcribed Image Text:You go where no one has gone before and discover an interesting planet of radius r. When you arrive, you clearly want to do some experiments to learn more about this world. You begin with some simple kinematics and measure the time t for an object thrown directly up with velocity vi to return to your hand. With this information, you find that the acceleration due to gravity g is much lower than on Earth. a) Find the mass of the planet mp in terms of vi, t, r, and any necessary constants. b) You decide to orbit the planet in your spacecraft at a distance R above the surface of the planet. Find the time required to complete one orbit in terms of R, r, Vi, t, and any necessary constants. c) Find the escape velocity ve– the initial velocity necessary for an object to barely escape the gravitational pull of the planet. Express your answer in terms of Vi, r, t, and any necessary constants. d) Find the distance from the planet's center at which an object launched from the surface with velocity v will have lost 90% of its initial kinetic energy at the surface in terms of v, vi, r, t, and any necessary constants.
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