An artificial satellite is orbiting the earth at altitude 500km . A bomb is released from the satellite . this bomb will

3 answers

..... stay in orbit beside the satellite. When you let it go it is moving at the same speed as the bomber and therefore stays with it.
If it is in orbit the gravitational force on it
G M m/r^2
is exactly equal to the mass times the centripetal acceleration
m v^2/r
so there is no net remaining force to change r
It will orbit the earth along with the satellite.