Asteroids have average densities of about 2500 \;{\rm kg}/{\rm m}^{3} and radii from 470\;{\rm km} down to less than a kilometre.
Part A:
Assuming that the asteroid has a spherically symmetric mass distribution, estimation the radius of the largest asteroid from which you could escape simply with jumping off. (Hint: You can estimate your jump speed by relating it to the maximum height h=1 \;{\rm m} that you can jump on earth.)
R= km