According to Newton's law of universal gravitation, the force F between two bodies of constant mass m and M is given by the form

Question

2 years ago

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According to Newton's law of universal gravitation, the force F between two bodies of constant mass m and M is given by the form

ula F = G m M d 2 , where G is the gravitational constant and d is the distance between the bodies. a. Suppose that are constants. Find the rate of change of force F with respect to distance d .

Physics

1 answer:

solmaris [256] · Answer 1 · 2022-10-02T06:11:09+03:00

solmaris [256]2 years ago

6 0

Answer:

One can write F = K d^-2 where K = G M m

So dF/dd = -2 K d^-3 = -2 K / d^3 (As d increases F decreases - it is opposite to the direction of F)