a satellite orbiting the 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

16√v
the fraction with numerator 1 and denominator square root of 6 v

16v
1 sixth v

6v
6 v

6–√v

The correct answer would be 6√v. When the satellite is moved to an orbital radius of 6r, the velocity will increase proportionally. Since the velocity is directly proportional to the square root of the orbital radius, multiplying the original velocity v by the square root of 6 will give the new velocity at the larger orbital radius.