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Problem 1 Bernoulli It is time for aged physics lecturers to have their flu shots but even that can be interesting. Assume the density of the vaccine in the syringe is the same as the density of water. The diameter of the syringe is 6mm, the length of the needle is 3cm and by reading the packet that the needle comes in we find out that, the needle has a cross sectional area of 1.00 x 10-8m2. When the full syringe is sitting on the medical tray no vaccine comes out of it, but when the nurse picks it up and applies 2.00N of force on the plunger the vaccine squirts out of the end removing any air bubbles in the liquid. a) With what speed did the medicine leave the tip of the needle during the air bubble removal process if the nurse held the syringe so the needle was pointing directly upward? b) The whole process gives the lecturer an idea for a physics demonstration. By taking a syringe with a diameter of 29.2mm that can hold 50ml of coloured water and connecting it to a long piece of tubing with an internal diameter of 2mm they could push the coloured water from the syringe into the tubing and by lifting the open end of the tube up as high c) as possible they could test Bernoulli’s principle. So a student was dispatched with the tubing to the top of the physics building (9m high). They dropped one end of the tube down to another student who attached it to the end to the water filled syringe. Then force was applied to the syringe and the water was pushed up through the tubing to the top of the building. In the ideal situation (no friction between the water and the inside walls of the tubing) what force would need to be applied to the syringe to get the water to the top of the building? Problem 2 Buoyancy A small spherical under water ROV (remotely operated vehicle) has a radius of 0.5m and a mass of 450kg. It sinks or rises in the ocean by taking water on board or pumping it back out again. How much water must it take on board to sink at a constant velocity of 1.2m/s. The resistive force on it from the water is 130N. Assume the density of seawater is 1.03 x 103 kg/m3.



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