A good athlete can jump 1.00 m high on Earth (ME = 5.972 × 1024 kg, RE = 6,371 km). What are the mass and radius of the largest asteroid on which the athlete can jump free of gravity (i.e. can jump at escape velocity)? Assume the asteroid is spherical and is made entirely of iron, which has a density of 7.874 g/cm3 . (Answer: 3.10 × 1014 kg, 2.11 km)