SOLUTION: Need help with this calculus problem:
Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is
F = GmM/r2
dF/dr
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Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is
F = GmM/r2
dF/dr
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Question 915039: Need help with this calculus problem:
Newton's Law of Gravitation says that the magnitude F of the force exerted by a body of mass m on a body of mass M is
F = GmM/r2
dF/dr = -2GmM/r^3
(b) Suppose it is known that the earth attracts an object with a force that decreases at the rate of 4 N/km when r = 30,000 km. How fast does this force change when r = 15,000 km? Answer by Edwin McCravy(20054) (Show Source):
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(b) Suppose it is known that the earth attracts an object with a force that decreases at the rate of 4 N/km when r = 30,000 km.
Substitute -4 for and 30000 for r
Substitute for in
How fast does this force change when r = 15,000 km?
Just substitute 15000 for r in
Edwin