Question

A 155 kg satellite is orbiting on a circular orbit 5995 km above the Earth's surface. Determine the speed of the satellite. (The mass of the Earth is 5.97×1024 kg, and the radius of the Earth is 6370 km.)

Answer 1

Answer:
`5.67* 10^(3) m/s`

Step-by-step explanation:

Given

mass of satellite
`m=155 kg`

Satellite is orbiting 5995 km above Earth surface

mass of Earth
`M=5.97* 10^(24) kg`

Radius of Earth
`R=6370 km`

here
`r=R+5995=6370+5995=12,365 km`

Gravitational Force will Provide the centripetal Force

`(GMm)/(r^2)=(mv^2)/(r)`

`v=\sqrt{(GM)/(r)}`

`v=\sqrt{(6.67* 10^(-11)* 5.97* 10^(24))/(12365* 10^(3))}`

`v=√(32.203* 10^6)`

`v=5.67* 10^3m/s=5674.7 km/s`