A 5.00-kg squid initially at rest ejects 0.250 kg of fluid with a velocity of 10.0 m/s. What is the recoil velocity of the squid if the ejec

Question

A 5.00-kg squid initially at rest ejects 0.250 kg of fluid with a velocity of 10.0 m/s. What is the recoil velocity of the squid if the ejection is done in 0.100 s and there is a 5.00-N frictional force opposing the squid’s movement?

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Lệ Thu 3 years 2021-08-30T23:02:26+00:00 1 Answers 27 views 0

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  1. Nem
    0
    2021-08-30T23:04:00+00:00
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    Answer:

    v_{squid} = 0.4\,\frac{m}{s} in the negative direction.

    Explanation:

    The physical modelled is analyzed by using the Principle of Moment Conservation and Impact Theorem. Let consider that fluid travels in the positive direction:

    F\cdot \Delta t = m_{fluid}\cdot v_{fluid}-m_{squid}\cdot v_{squid}

    Now, the recoil velocity of the squid is obtained

    v_{squid}= \frac{m_{fluid}\cdot v_{fluid}-F\cdot \Delta t}{m_{squid}}

    v_{squid}=\frac{(0.250\,kg)\cdot (10\,\frac{m}{s} )-(5\,N)\cdot(0.1\,s)}{5\,kg}

    v_{squid} = 0.4\,\frac{m}{s}

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