Question

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

√6v
square root of 6 v

1/6v
1 sixth v

6v
6 times v

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

Answer 1

1/√6 v

Reason: orbital speed v ∝ 1/√r, so v_new = v·√(r/(6r)) = v/√6.