A body is projected with a velocity 2/3rd of escape velocity from the surface of the earth in order to orbit the earth. Its orbital radius will be (Re is radius of the earth
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ANSWER
v
e
=(
R
2GM
)
0.5
now, V=2v
e
=2(
R
2GM
)
0.5
=(
R
8GM
)
0.5
By conservation of energy,
R
−GMm
+
2R
8GMm
=0+
2
mv
2
solving this, we get v=(
R
3×2GM
)
0.5
=3
0.5
v
e
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