At LNG refinery site as part of a lubricating system for heavy machinery, oil of density 850kg/m^3 is pumped through a cylindrical pipe of diameter 7.0cm at a rate of 10.5 litres per second. What is; (Given: 1000 litres = 1m^3)

a) the spread of the oil?
(Use this formula: flow rate/ cross-section area = velocity)

b) the mass flow rate?
(Use this formula: mass flow rate= density x cross-sectional area x velocity)

Luke and carrie are driving down a straight section of the interstate at 70 mph in luke's new convertible. carrie is drinking a soda in the passenger seat. when she is done she tosses the bottle straight up in the air, just above the height of the car. what will happen to the bottle if air resistance is neglected? a. the bottle will land in carrie's lap. b. not enough information is given. c. the bottle will land on the interstate in front of the car. d. the bottle will land on the interstate behind the car.

Acup of coffee sits on the dashboard of an automobile. the car goes around a sharp curve. even though you hold the cup still, coffee still splashes out. this can best be explained due to a) density. b) friction. c) gravity. d) inertia.

On a day when the barometer reads 75.23 cm, a reaction vessel holds 250 ml of ideal gas at 20 celsius. an oil manometer ( ρ= 810 kg/m^3) reads the pressure in the vessel to be 41 cm of oil and below atmospheric pressure. what volume will the gas occupy under s.t.p.?