An artifical satellitee of mass `100 kg` is in a circular orbit at `500 km` above the Earth's surface. Take redius of Earth as `6.5 xx 10^(6) m`.(a) Find the acceleration due to gravity at any point along the satellite path (b) What is the centripetal acceleration o fthe satellite?

Options

A. `8.45 ms^(-2), 8.45 ms^(-2)`
B. `8.45ms^(-2), 0.845 ms^(-2)`
C. `0.845 ms^(-2),0.845ms^(-2)`
D. `0.845 ms^(-2),8.45 ms^(-2)`

Answer

A

Explanation

Here `h=500km=0.5xx10^(6) m`,
`:. R+h=7.0xx10^(6) m`
`(i) g'=g(R/(R+h))=9.8((6.5xx10^(6))/(7.0xx10^(6)))=8.45 ms^(-2)`