Newton's law of universal gravitation states that the gravitational force F between two particles (each with mass mi and m2 , respectively) is given by mim2 F = G" p2 where r is the distance between the two particles and G is a constant known as “ the gravitational constant." If the two particles have equal masses mj = m2 = 6 dF dr : and dt dt kilograms, which of the following equations relating F, r, can be obtained by differentiating Newton's law of universal gravitation? dF -72G dr а) О dt dt dF 72G dr b) O dt p3 dt dF -72G dr c) O dt p3 dt dF dr d) O = 72Gr³ - dt %3D dt dF dr 6. dt dt
Newton's law of universal gravitation states that the gravitational force F between two particles (each with mass mi and m2 , respectively) is given by mim2 F = G" p2 where r is the distance between the two particles and G is a constant known as “ the gravitational constant." If the two particles have equal masses mj = m2 = 6 dF dr : and dt dt kilograms, which of the following equations relating F, r, can be obtained by differentiating Newton's law of universal gravitation? dF -72G dr а) О dt dt dF 72G dr b) O dt p3 dt dF -72G dr c) O dt p3 dt dF dr d) O = 72Gr³ - dt %3D dt dF dr 6. dt dt
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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Transcribed Image Text:Newton's law of universal gravitation states that the gravitational force F between two particles (each with mass mi and m2 , respectively) is given by
mim2
F = G"
p2
where r is the distance between the two particles and G is a constant known as “ the gravitational constant." If the two particles have equal masses mj = m2 = 6
dF
dr
: and
dt
dt
kilograms, which of the following equations relating F, r,
can be obtained by differentiating Newton's law of universal gravitation?
dF
-72G dr
а) О
dt
dt
dF
72G dr
b)
O
dt
p3
dt
dF
-72G dr
c) O
dt
p3
dt
dF
dr
d) O
= 72Gr³ -
dt
%3D
dt
dF
dr
6 .
dt
dt
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