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19 April, 10:32

A person stands in a stationary canoe and throws a 5.16 kg stone with a velocity of 8.05 m/s at an angle of 31.0° above thehorizontal. The person and canoe have a combined mass of 105 kg. Ignoring air resistance and effects of the water, find thehorizontal recoil velocity (magnitude and direction) of the canoe.

magnitude m/s

direction - --Select-- - opposite the horizontal component of the velocityof the stoneat right angles to the horizontal component ofthe velocity of the stonealong the horizontal component of the velocity ofthe stone

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  1. 19 April, 10:47
    0
    Answer: - 0.33909m/s

    Explanation:

    Mass of stone (Ms) = 5.16kg

    Velocity of the stone (Vfs) = 8.05m/s

    Angle=31.0 degrees

    The person and the canoe (Mc) = 105kg

    The conversation of momentum law applied in the horizontal direction gives:

    McVfc+MsVfscos (31.0) = 0

    Making Vfc subject of the formula:

    Vfc=-MsVfscos (31.0) / Mc

    = - (5.16kg) (8.00m/s) cos (31.0) / 105kg

    = - 0.33909m/s

    The magnitude of the velocity is 0.33909m/s. The minus sign indicates the direction opposite the horizontal component of the velocity of the Stone.
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