A metal bowl with a weight of 1.95 N is placed in a larger kitchen container filled with castor oil. How much castor oil must the bowl displace in order to float? For reference, the mass density of castor oil is about 961 g/liter and its weight density is about 9.42 N/liter. Please give your answer in liters.

Air flows through a heating duct with a square cross-section with 7-inch sides at a speed of 4.9 ft/s. Just before reaching an outlet in the floor of a room, the duct widens to assume a square cross-section with sides equal to 16 inches. Compute the speed of the air flowing into the room (in ft/s), assuming that we can treat the air as an incompressible fluid.

A dentist's chair with a person in it weighs 1725 N. The output plunger of a hydraulic system starts to lift the chair when the dental assistant's foot exerts a force of 38 N on the input piston. Neglecting any difference in the heights of the piston and the plunger, what is the ratio of the area of the plunger to the area of the piston? plunger/piston=