A small solid metal sphere of radius 2.0cm and mass 0.080kg is released from rest while fully submerged in a tank of glycerin whose density is 1.26×103kgm−3. Neglect viscous drag during the first 0.20s of motion.
(a) Calculate the magnitude of the upward force exerted by the glycerin on the sphere immediately after release.
(b) Determine the magnitude and direction of the net force acting on the sphere at that instant.
(c) Compute the sphere’s acceleration just after it is released.
(d) Using your result from part (c), estimate the sphere’s speed after it has been moving for 0.20s, assuming the acceleration remains constant for that interval.