Question #245088

Squids are the fastest marine invertebrates, using a powerful set of muscles to take in and then eject water in a form of jet propulsion that can propel them to speeds of over 11.5 m/s. What speed (in m/s) would a stationary 2.00 kg squid achieve by ejecting 0.115 kg of water (not included in the squid's mass) at 3.50 m/s? Neglect other forces, including the drag force on the squid.



___m/s


1
Expert's answer
2021-10-02T16:38:42-0400

Solution.

ms=2.00kg;m_s=2.00kg;

mw=0.115kg;m_w=0.115kg;

vw=3.50m/s;v_w=3.50m/s;

(ms+mw)v=msvsmwvw;(m_s+m_w)v=m_sv_s-m_wv_w;

msvs=mwvw    vs=mwvwms;m_sv_s=m_wv_w\implies v_s=\dfrac{m_wv_w}{m_s};

vs=0.1153.502.00=0.2m/s;v_s=\dfrac{0.115\sdot3.50}{2.00}=0.2m/s;

Answer: vs=0.2m/s.v_s=0.2m/s.


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