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8 March, 06:16

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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  1. 8 March, 07:50
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    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
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