Calculate the takeoff speed, kinetic energy, and kinetic energy per kilogram of mass of a flea and a human.
For its size, the common flea is one of the most accomplished jumpers in the animal world. A 2.5mm -long, 0.49 mg critter can reach a height of 20cm in a single leap.
a.) neglect air drag, what is the takeoff speed of such a flea?
b.) compute the kinetic energy of this flea at takeoff and its kinetic energy per kilogram of mass.
c.) If a 77 kg, 1.80 tall human can jump to the same height compared with his length as the flea jumps compared with its length, how high could he jump, and what takeoff speed would he need?
d.) In reality, most humans can jump no more than 60 cm from a crouched start. What is the kinetic energy per kilogram of mass at takeoff for such a 77 kg person?