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Physics
Physics
Problem
Four particles, each of mass
M
M
M
and equidistant from each other, move along a circle of radius
R
R
R
under the action of their mutual gravitational attraction. The speed of each particle is: a.
G
M
R
\sqrt{\frac{GM}{R}}
R
GM
b.
2
2
G
M
R
\sqrt{2\sqrt{2} \frac{GM}{R}}
2
2
R
GM
c.
G
M
R
(
1
+
2
2
)
\sqrt{\frac{GM}{R}(1+2\sqrt{2})}
R
GM
(
1
+
2
2
)
d.
1
2
G
M
R
(
1
+
2
2
)
\frac{1}{2}\sqrt{\frac{GM}{R}(1+2\sqrt{2})}
2
1
R
GM
(
1
+
2
2
)
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