two particles of mass 0.5kg each go round a circle of radius 20cm on account of their mutual gravitational attraction. what will be the speed of each particle?
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Answer:
Masses of the two particles are m
1
=m
2
=m
And radius of the two particles are r
1
=r
2
=R
So ,The Gravitational force of attraction between the particles F=
R
2
G×m×m
−−−−−−−−(1)
Ans, centripital force F=
R
m×v
2
−−−−−−(2)
From given condition (1) and (2)
(2R)
2
Gmm
=
R
mv
2
,
v=
4R
Gm
=
2
1
R
Gm
So the speed of the each particle is v=
2
1
R
Gm
Explanation:
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