(b) ko A rectangular watertight box is 600 mm long, 400 mm wide and 200 mm deep. It weighs 220N. If it floats with its 400 mm side vertical in water of density 1020 kg/m³, to what depth will the box be submerged?

Bird bones have air pockets to reduce their weight—this also gives them an average density significantly less than that of the bones of other animals. Suppose an ornithologist weighs a bird bone air and in water and finds its mass is 45.0 g ad its apparent mass when submerged is 3.60 g (assume the bone is watertight.)(a) What mass of is displaced? (b) What is the volume of the bone? (c) What is its average density?

An oil gusher shoots crude 25.0 m the through a pipe with a 0.100-m diameter. Neglecting resistance but not resistance of the pipe, and assuming laminar flow, calculate pressure at be entrance of be 50.0-m-Iong vertical pipe. Take of the oil to be 900 kg/m3 and its viscosity to be 100(N/m2) s (or 1.00 Pa s). Note that you must take into account the pressure due to 50.0-m column of oil in pipe.

Water is moving at a velocity of 2.00 m/s through a hose with internal diameter of 1.60 cm. (a) What is the flow rate in liters per second? (b) The fluid velocity in this hose's nozzle is 15.0 m/s. What is the nozzle's inside diameter?

A sump pump (used to drain water from be basement of houses built below the water table) is draining a flooded basement at rate of 0.750 L/S, with an output pressure of 3.00105N/m2 . (a) The water enters a hose with a 3.00-cm inside diameter and rises 2.50 m above the pump. What is its pressure at this point? (b) The hose goes over the foundation wall, losing 0.500 m in height and widens to 4.00 cm in diameter. What is the pressure now? You may neglect frictional losses both parts of the problem.

Fluid originally flows through a tube at a rate of 100 cm3/s. To illustrate the sensitivity of flow rate to various factors, calculate be new flow rate for following changes with all other factors remaining the same as in original conditions. (a) Pressure difference increases by a factor of 1.50. (b) A new fluid wit 3.00 times greater viscosity is substituted. (c) The tube is replaced by one having 4.00 times the length. (d) Another tube used with a 0.100 times the original. (e) Yet another tube is substituted with a radius 0.100 times the original and half length, and pressure difference is increased by factor of 1.50.

What is the pressure drop due to the Bernoulli Effect as water goes into a 3.00-cm-diameter nozzle from a 9.00-cm-diameter fire hose while carrying a flow of 40.0 L/s? (b) To what maximum above be nozzle can this water rise? (The actual height will be significantly smaller due to air resistance.)

Using the equation of the previous problem, find the viscosity of motor oil in which a steel ball of radius 0.8 mm falls a terminal speed of 4.32 cm/s. The densities of the ball and the oil are 7.86 and 0.88 g/mL, respectively.

A man has a mass of 80 kg and a density of 955kg/m3 (excluding the air in his lungs). (a) Calculate his volume. (b) Find the buoyant force air exerts on him. (c) What the ratio of the buoyant force to his weight?

(a) Verify that a 19.0% decrease in laminar flow through a tube is caused by a 5.00% decrease in radius, assuming that all other factors remain constant. (b) What increase in flow is obtained from a 5.00% increase in radius, again assuming all other factors remain constant?