Question

a satellite revolves around the earth in an orbit of radius 42000000m. find the value of g and its orbital speed at this hieght.​

Answer 1

Step 1: Given data

Acceleration due to gravity on the surface of the earth is g.

The radius of the earth is R and x is the height of the satellite above the earth's surface.

The mass of the satellite is m.

Step 2: Calculate the orbital speed of the satellite.

We know that,

mv2R+x=GMmR+x2

v=GMR+x

v=GMR2×R2R+x

Step 3: Final answer

v=gR2R+x

We can also write it as

v=gR2R+x12