If the flea jumps straight up, how high will it go? (Ignore air resistance for this problem; in reality, air resistance plays a large role,

Question

If the flea jumps straight up, how high will it go? (Ignore air resistance for this problem; in reality, air resistance plays a large role, and the flea will not reach this height.)

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Khải Quang 4 years 2021-08-11T07:16:40+00:00 1 Answers 339 views 0

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  1. Orla
    0
    2021-08-11T07:18:03+00:00
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    Answer:

    The flea will reach to a height of 5.2 cm.

    Explanation:

    Let us assume it is given that, a flea reaches a takeoff speed of 1.0 m/s over a distance of 0.50 mm.

    Initial speed, u = 1 m/s

    Initial distance, x = 0.5 mm

    We need to find the height reached by the flea. Using third equation of motion to find it.

    At maximum height, its final speed, v = 0

    v^2-u^2=2ah

    Here, a = -g

    -u^2=-2g(h-x)\\\\1^2=2\times 9.8\times (h-0.5\times 10^{-3})\\\\h=0.052\ m

    or

    h = 5.2 cm

    So, the flea will reach to a height of 5.2 cm.

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