Find the speed of a satellite

Question

a satellite of mass 5000kg is 1000km above the earth's surface. find its speed/velocity.

Answer 1

this involves centripetal force

the force is provided by gravity and weight of the satellite

so centripal force= weight of satellite

F= 5000*9.8=49000N

convert 1000km=1000000m

to calculate velocity we use centripetal force formula

F=mv^2/r

49000=5000v^2/1000000

49000000000=5000v^2

9800000=v^2

v= 3130.495169m/s

hope this helps