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12 April, 04:50

A trap-jaw ant snaps its mandibles shut at very high speed, good for catching small prey. But these ants also slam their mandibles into the ground; the resulting force can launch the ant into the air for a quick escape. If a 12 mg ant hits the ground with an average force of 47 mN for a time of 0.13 ms, at what speed will it leave the ground?

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  1. 12 April, 07:06
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    FInal speed (v) = 0.509 m/s (Approx)

    Explanation:

    Given:

    Mass of ant (m) = 12 mg

    Force (f) = 47 N

    Time taken (t) = 0.13 ms

    Find:

    FInal speed (v) = ?

    Computation:

    Initial velocity (u) = 0

    Impulse = change in momentum

    Force * TIme = change in momentum

    47 * 0.13 = mv - mu

    6.11 = 12 (V)

    FInal speed (v) = 0.509 m/s (Approx)
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