A solid right-circular cylinder made of a polymer has a mass of 0.60kg and occupies a volume of 8.0×10−4m3. The cylinder is released from rest while fully submerged in a tank of motor oil whose density is 8.0×102kgm−3. Assume the only significant forces on the cylinder are its weight and the force exerted by the surrounding oil.
(a) Calculate the density of the polymer cylinder.
(b) State whether the cylinder accelerates upward, accelerates downward, or remains in equilibrium immediately after release, and justify your answer quantitatively.
(c) Determine the magnitude of the net force acting on the cylinder at the instant after release.
(d) Calculate the initial magnitude of the cylinder’s acceleration.