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Question1
A large flat block of mass 7m rests on a level, smooth tabletop (μk ≈ 0). On top of it is a much smaller block of mass m, with a coefficient of static friction between the two blocks of μs. If small block is pulled horizontally with constant force F, we desire both blocks to slide together across the table without slipping on each other. What is the main acceleration that the system can be given in terms of μs and g?
Question2
A village maintains a large tank with an open top, containing water for emergencies. The water can drain from the tank throughout a hose of diameter 6.60 cm. The hose ends with a nozzle of diameter 2.20 cm. A rubber stopper is inserted into a nozzle. The water level in the tank is kept 7.50 m above the nozzle.
(a) Analyse friction force exerted on the stopper by the nozzle.
(b) The stopper is removed. What mass of water flows from nozzle in 2.00 h? (c) Compute gauge pressure of the flowing water in the hose just behind the nozzle.
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