ccording to Newton's law of universal gravitation, the force F between two bodies of constant mass m and M is GmM Even by the formula F = d² where G is the gravitational constant and d is the distance between the bodies. Suppose that are constants. Find the rate of change of force F with respect to distance d. "(d) = Enter an algebraic expression [more.] Preview syntax error Find the rate of change of force F with gravitational constant G = 6.67 x 10-"Nm²/kg², on two bodies 25 eters apart, each with a mass of 1000 kilograms. Answer in scientific notation, rounding to 2 decimal places. N/m Preview

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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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
GmM
given by the formula F =
d?
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.
F'(d) =
Preview
syntax error
Enter an algebraic expression [more.]
b. Find the rate of change of force F with gravitational constant G = 6.67 x 10-1 Nm²/kg², on two bodies 25
meters apart, each with a mass of 1000 kilograms. Answer in scientific notation, rounding to 2 decimal places.
* N/m
Preview
Transcribed Image Text:According to Newton's law of universal gravitation, the force F between two bodies of constant mass m and M is GmM given by the formula F = d? 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. F'(d) = Preview syntax error Enter an algebraic expression [more.] b. Find the rate of change of force F with gravitational constant G = 6.67 x 10-1 Nm²/kg², on two bodies 25 meters apart, each with a mass of 1000 kilograms. Answer in scientific notation, rounding to 2 decimal places. * N/m Preview
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