Fleas have remarkable jumping ability. a 0.60 mg flea, jumping straight up, would reach a height of 40 cm if there were no air resistance. in reality, air resistance limits the height to 20 cm. part a what is the flea's kinetic energy as it leaves the ground?

Question

Maddison Benton

Physics

13 February, 20:46

Fleas have remarkable jumping ability. a 0.60 mg flea, jumping straight up, would reach a height of 40 cm if there were no air resistance. in reality, air resistance limits the height to 20 cm. part a what is the flea's kinetic energy as it leaves the ground?

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Andrew Cobb · Answer 1

To answer, we determine the velocity of the flea when it leaves the ground. Using the given value for distance, the velocity can be determined through the equation,

2a d = (Vf) ² - (Vi) ²

where a is the acceleration due to gravity, d is distance, Vf is the final velocity which is equal to zero and Vi is the initial velocity. Substituting the known values,

2 (9.8 m/s²) (40cm/100cm) = (Vi) ²

The value of Vi from the equation is 2.8 m/s.

The equation for determining the kinetic energy is:

KE = 0.5mv²

Substituting,

KE = 0.5 (0.60 x 10^-3g) (1 kg/1000g) (2.8 m/s) ²

KE = 2.352 x 10^-6 J