The drawing shows a version of the loop-the-loop trick for a small car. If the car is given an initial speed of 3.1 m/s, what is the largest value that the radius r can have if the car is to remain in contact with the circular track at all times

Identify the correct relation showing that the radius r of the orbit of a moon of a given planet can be determined from the radius r of the planet, the acceleration of gravity at the surface of the planet, and the time τ required by the moon to complete one full revolution about the planet. determine the acceleration of gravity at the surface of the planet jupiter knowing that r = 71 492 km and that t= 3.551 days and r= 670.9 × 10^3 km for its moon europa.