Two spherical celestial objects, call them A and B have mass Mị and M, with radius R1 and R2 respectively. Initially they are at a distance d from each other. Now solve the following problems. d A (a) What would be the gravitational acceleration on the surface of object A ? You should ignore B's presence in this case. (b) Find the escape velocity of object B. Again ignore A's presence. (c) Now lets say these two objects, A & B start to move towards each other dude to mutual gravitational attraction. Find the time when they will collide with each other. Express you answers in terms of the given pa- rameters and any universal constant. B.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter7: Hamilton's Principle-lagrangian And Hamiltonian Dynamics
Section: Chapter Questions
Problem 7.35P
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Two spherical celestial objects, call them A and B have mass Mị and M, with
radius R1 and R2 respectively. Initially they are at a distance d from each
other. Now solve the following problems.
d
A
(a) What would be the gravitational acceleration on the surface of object A
? You should ignore B's presence in this case.
(b) Find the escape velocity of object B. Again ignore A's presence.
(c) Now lets say these two objects, A & B start to move towards each other
dude to mutual gravitational attraction. Find the time when they will
collide with each other. Express you answers in terms of the given pa-
rameters and any universal constant.
B.
Transcribed Image Text:Two spherical celestial objects, call them A and B have mass Mị and M, with radius R1 and R2 respectively. Initially they are at a distance d from each other. Now solve the following problems. d A (a) What would be the gravitational acceleration on the surface of object A ? You should ignore B's presence in this case. (b) Find the escape velocity of object B. Again ignore A's presence. (c) Now lets say these two objects, A & B start to move towards each other dude to mutual gravitational attraction. Find the time when they will collide with each other. Express you answers in terms of the given pa- rameters and any universal constant. B.
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