A small solid ball is released from rest while fully submergedin a liquid and th

Question

A small solid ball is released from rest while fully submergedin a liquid and then its kinetic energy is measured when it hasmoved 4 cm in the liquid. The kinetic energy is plotted versus theliquid density and K=1.60 J sets the scale on the verticalaxis. what are (a) the density and (b) volume of theball? A small solid ball is released from rest while fully submergedin a liquid and then its kinetic energy is measured when it hasmoved 4 cm in the liquid. The kinetic energy is plotted versus theliquid density and K=1.60 J sets the scale on the verticalaxis. what are (a) the density and (b) volume of theball?

Explanation / Answer

(a)    in the gibven problem we can see that anobject of the same density as the surrounding liquid is not goingto accelerate up    or down, so the point corresponding to zeroK in the graph must correspond to the case where the density of theobject    equals liquid    ball = 1.5 g /cm3            =1500 kg / m3 (b)    for simplicity liquid = 0where Kgained = 1.6 J    in this case the ball is falling throughperfect vacuum so that    v2 = 2 g h    KE = (1 / 2) m v2          = 1.6J    mball = ......... kg    the volume of the ball is then givenby    mball / ball =......... m3 (b)    for simplicity liquid = 0where Kgained = 1.6 J    in this case the ball is falling throughperfect vacuum so that    v2 = 2 g h    KE = (1 / 2) m v2          = 1.6J    mball = ......... kg    the volume of the ball is then givenby    mball / ball =......... m3

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