A satellite orbiting Earth at an orbital radius r has a velocity v. What would the velocity be if the satellite is moved to an orbital radius of 6r?(1 point) Responses 16v 1 sixth v 6v 6 v 16√v the fraction with numerator 1 and denominator square root of 6 v 6–√v
The velocity of a satellite in orbit is inversely proportional to the square root of the orbital radius. This means that when the orbital radius is increased by a factor of 6, the velocity will decrease by a factor of the square root of 6.
Therefore, the velocity of the satellite at an orbital radius of 6r would be 1/sqrt(6) times the original velocity, or 1/√6 v.