For its size, the common flea is one of the most accomplished jumpers in the animal world. A 2.50-mm-long, 0.460 mg flea can reach a height of 15.0 cm in a single leap. a) Calculate the kinetic energy per kilogram of mass. b) If a 79.0 kg, 2.00-m-tall human could jump to the same height compared with his length as the flea jumps compared with its length, how high could the human jump

1.47 J/kg

120 m

Explanation:

The maximum height it can jump in a single leap 15 cm, = 0.15 m

to get the kinetic energy per kg of mass, we need to find the takeoff speed. The take off speed can be calculated by using the formula

v =

where h = 0.15

v =

v =

v = 1.715 m/s

energy per kg of mass =

1/2 * (1.715) = 1.47 J/Kg

TJe height a human can jump when compared to the flea is

2 m/2.5 mm * 15 cm =

2/0.0025 *0.15 =

800 * 0.15 = 120 m