Geeta made a project in which Earth took 6 mins to complete one revolution and the distance between Earth and sun is 50cm.Find the speed of the Earth.
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Answer:
Let m and M be the masses of the earth and the sun respectively and v the speed of the earth in circular orbit. To keep the earth in circular orbit, the gravitational force
r
2
GMm
must balance the centripetal force
r
mv
2
, i.e.
r
2
GMm
=
r
mv
2
or M=
G
v
2
r
Also, v=
T
2πr
. Using this, we get M=
T
2
G
4π
2
r
3
or M∝
T
2
r
3
.
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Answer:
Chk the pic
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