Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Physics
Physics
Problem
Three point masses, each of mass
m
m
m
, are placed at the vertices of an equilateral triangle of side
a
a
a
. What is the magnitude of the net gravitational force acting on any one mass due to the other two? a)
2
G
m
2
a
2
\dfrac{2G m^{2}}{a^{2}}
a
2
2
G
m
2
b)
G
m
2
a
2
\dfrac{G m^{2}}{a^{2}}
a
2
G
m
2
c)
3
G
m
2
a
2
\dfrac{\sqrt{3}\,G m^{2}}{a^{2}}
a
2
3
G
m
2
d)
2
G
m
2
a
2
\dfrac{\sqrt{2}\,G m^{2}}{a^{2}}
a
2
2
G
m
2
Browse the problem library