Consider an object of mass m in a circular orbit of radius r and angular velocity w about a larger object of mass M and radius R, where M > m. (a) What is the the potential energy of the mass-m in its circular orbit, assuming that r > R? 23 (b) In 1. Vectors and kinematics, we showed that the acceleration in the radial direction of an object in a circular orbital of radius r and angular velocity w is w²r. Use this result, and the result that the velocity of such an object is wr to calculate the mass-m object's kinetic energy in terms of G, M, m, and r. (c) Calculate the corresponding velocity of the mass m object in terms of G, M, m, and r.
Consider an object of mass m in a circular orbit of radius r and angular velocity w about a larger object of mass M and radius R, where M > m. (a) What is the the potential energy of the mass-m in its circular orbit, assuming that r > R? 23 (b) In 1. Vectors and kinematics, we showed that the acceleration in the radial direction of an object in a circular orbital of radius r and angular velocity w is w²r. Use this result, and the result that the velocity of such an object is wr to calculate the mass-m object's kinetic energy in terms of G, M, m, and r. (c) Calculate the corresponding velocity of the mass m object in terms of G, M, m, and r.
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Physics word problem on energy/work/force:
![Consider an object of mass m in a circular orbit of radius r and angular velocity w about a larger object of mass M and radius
R, where M > m.
(a) What is the the potential energy of the mass-m in its circular orbit, assuming that r > R?
23
(b) In 1. Vectors and kinematics, we showed that the acceleration in the radial direction of an object in a circular orbital of
radius r and angular velocity w is w²r. Use this result, and the result that the velocity of such an object is wr to calculate the
mass-m object's kinetic energy in terms of G, M, m, and r.
(c) Calculate the corresponding velocity of the mass m object in terms of G, M, m, and r.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fedebc88f-0f15-48aa-bbbc-ac6074f967fe%2Fbeb1e9b1-9b8b-48cc-be2d-f418d16c2b12%2Fpbqckgm.png&w=3840&q=75)
Transcribed Image Text:Consider an object of mass m in a circular orbit of radius r and angular velocity w about a larger object of mass M and radius
R, where M > m.
(a) What is the the potential energy of the mass-m in its circular orbit, assuming that r > R?
23
(b) In 1. Vectors and kinematics, we showed that the acceleration in the radial direction of an object in a circular orbital of
radius r and angular velocity w is w²r. Use this result, and the result that the velocity of such an object is wr to calculate the
mass-m object's kinetic energy in terms of G, M, m, and r.
(c) Calculate the corresponding velocity of the mass m object in terms of G, M, m, and r.
![](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fedebc88f-0f15-48aa-bbbc-ac6074f967fe%2Fbeb1e9b1-9b8b-48cc-be2d-f418d16c2b12%2F8gk03vq.png&w=3840&q=75)
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What is the total mechanical energy of the mass m-mass M system?
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