In the figure on the right, piston 1 has r,-0.012 m and of negligible weight and piston 2 has a r₂=0.15m. If the combined weight of the car and the plunger is 20500N and the density of the oil 800 kg/m³, what should be the force, F₁, needed to support the output plunger if a)both pistons are at the same level. b)if piston 2 is 1.10m lower than piston 1.

AST Water is flowing in the pipe shown in the figure below, with the 8.20-cm diameter at point 1 tapering to 3.85 cm at point 2, located y 12.5 cm below point 1. The water pressure at point 1 is 3.20 x 10 Pa and decreases by 50% at point 2. Assume steady, ideal flow. What is the speed of the water at the following points? (a) point 1 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s (b) point 2 x Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m/s

Water flows at 1 m/s from a hot water heater, through a 410 kPa pressure regulator. The pressure in the pipe supplying an upstairs bathtub 3 m above the heater is 350 kPa. What’s the speed in this upstairs pipe? (Numerical answer is assumed to be in m/s)

a booster motor that has 130psi pressure and a flowrate of 6L/min is connected to a 3/4" hose and 3mm nozzle. what will be the flowrate at the nozzle and the distance of the water assuming a 45 degrees pointing downwards