Problem 6.62 Your answer is incorrect. Try again. You will need to use the Momen
ID: 1864262 • Letter: P
Question
Problem 6.62 Your answer is incorrect. Try again. You will need to use the Momentum Principle to do the first part of this problem, and the Energy Principle to do the second part. A satellite of mass 6000 kg orbits the Earth in a circular orbit of radius of 7.6 x 106 m (this is above the Earth's atmosphere).The mass of the Earth is 6 x 1024 kg. What is the speed of the satellite? VE What is the minimum amount of energy required to move the satellite from this orbit to a location very far away from the Earth? AU =T 1.893e 1 1 v =T652491 m/sExplanation / Answer
A) According to momentum principle,
(GMm/ r2) - (mv2/ r) = 0
V = sqrt (GM/r) = = sqrt (6.67 x 10-11 x 6 x 1024/ 7.6 x 106) = 7256.58 m/s
B) According to energy principle,
E = GMm/r - 0.5 mv2
E = ((6.67 x 10-11 x 6 x 1024 x 6000/ 7.6 x 106) - (0.5 x 6000 x 7256.582) = 1.58 x 1011 J
Comment in case any doubt, please rate my answer...