A 4.28 kg object is released from rest while fully submerged in a liquid. The li

Question

A 4.28 kg object is released from rest while fully submerged in a liquid. The liquid displaced by the submerged object has a mass of 2.95 kg. Take the upward direction to be positive. What is the displacement of the object in 0.226 s, assuming that it moves freely and that the drag force on it from the liquid is negligible?
the tolerance is +/-2%
A 4.28 kg object is released from rest while fully submerged in a liquid. The liquid displaced by the submerged object has a mass of 2.95 kg. Take the upward direction to be positive. What is the displacement of the object in 0.226 s, assuming that it moves freely and that the drag force on it from the liquid is negligible?
the tolerance is +/-2%

the tolerance is +/-2%

Explanation / Answer

Solution- buoyancy force = mass of liquid displace *g = 2.95*9.8 =28.91 N
weight = 4.28*9.8 = 41.944 N
acceleration = (41.944 - 28.91)/4.28 = 3.04 m/s^2
it traveled a distance = 0.5*3.04*.226^2 = 0.078 m

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