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 GmM F = where G is the gravitational constant and r is the distance between the bodies. (a) Find dF/dr and explain its meaning. What does the minus sign indicate? (b) Suppose it is known that the earth attracts an object with a force that decreases at the rate of 2 N/km when r= 20,000 km. How fast does this force change when r = 10,000 km?
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 GmM F = where G is the gravitational constant and r is the distance between the bodies. (a) Find dF/dr and explain its meaning. What does the minus sign indicate? (b) Suppose it is known that the earth attracts an object with a force that decreases at the rate of 2 N/km when r= 20,000 km. How fast does this force change when r = 10,000 km?
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Transcribed Image Text: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
GmM
F =
where G is the gravitational constant and r is the distance
between the bodies.
(a) Find dF/dr and explain its meaning. What does the
minus sign indicate?
(b) Suppose it is known that the earth attracts an object
with a force that decreases at the rate of 2 N/km when
r= 20,000 km. How fast does this force change when
r = 10,000 km?
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