An artificial satellite is moving in a circular orbit around the earth, with a speed which is equal to half the magnitude of the escape velocity from

Question

An artificial satellite is moving in a circular orbit around the earth, with a speed which is equal to half the magnitude of the escape velocity from

An artificial satellite is moving in a circular orbit around the earth, with a speed which is equal to half the magnitude of the escape velocity from the earth. What is the height of the satellite above the surface of the earth ?
A. 2 R
B. R
C. `(R )/(2)`
D. `(R )/(4)`

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
It is given that `v_(0)=(1)/(2)v_(e )`
`therefore ((GM)/(R+h))=(1)/(2)sqrt((2GM)/(R ))`
`therefore (GM)/(R+h)=(1)/(4).(2GM)/(R )=(GM)/(2R)`
`therefore 2R=R+h " " therefore h = R`

5 views Answered 2023-02-05 15:29