BIO A trap-jaw ant snaps its mandibles shut at very high speed, a good trait for catching small prey. But an ant can also slam its mandibles

Question

BIO A trap-jaw ant snaps its mandibles shut at very high speed, a good trait for catching small prey. But an ant can also slam its mandibles into the ground; the resulting force can launch the ant into the air for a quick escape. A 12 mg ant hits the ground with an average force of 47 mN for a time of 0.13 ms; these are all typical values. At what speed does it leave the ground

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MichaelMet 3 years 2021-08-14T06:07:09+00:00 1 Answers 258 views 0

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  1. thanhcong
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    2021-08-14T06:08:10+00:00
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    Answer:

    Final velocity (v) = 0.509 m/s (Approx)

    Explanation:

    Ant use impulse power

    Given:

    Mass of ant = 12 mg = 12 × 10⁻⁶ kg

    Average force = 47 mN = 47 × 10⁻³ N

    Initial velocity(u) = 0

    Time taken = 0.13 ms = 0.13 × 10⁻³ s

    Find:

    Final velocity (v)

    Computation:

    Force × Time =  change in momentum

    (47 × 10⁻³ N)(0.13 × 10⁻³ s) = mv – mu

    (47 × 10⁻³ N)(0.13 × 10⁻³ s) = m(v – u)

    6.11 × 10⁻⁶ = 12 × 10⁻⁶(v – 0)

    6.11 = 12 v

    Final velocity (v) = 0.509 m/s (Approx)

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