1. a) How high can you jump from a standing start (on
Earth)? Use an estimate of this height to calculate your speed at
the beginning of your jump.
b) A typical asteroid has a density of about 2500 kg/m3. Use
your result from part (a) to estimate the radius of the largest
asteroid from which you could reach escape speed just by
jumping.
c) Europa, one of Jupiter’s four large moons, has a radius of
1570 km. The acceleration due to gravity at its surface is 1.33
m/s2. Calculate its average density. How does this compare to the
average asteroid density given above? What about the Earth’s
density?