Chapter 3 | Derivatives
265
149. [T] According to Newton’s law of universal gravitation, the force F between two bodies of constant mass m 1 and m 2 is given by the formula F = Gm 1 m 2 d 2 , where G is the gravitational constant and d is the distance between the bodies. a. Suppose that G , m 1 , and m 2 are constants. Find the rate of change of force F with respect to distance d . b. Find the rate of change of force F with gravitational constant G =6.67×10 −11 Nm 2 /kg 2 , on two bodies 10 meters apart, each with a mass of 1000 kilograms.
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