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Part A) A cylindrical tank of radius R, filled to the top with a liquid, has a small hole in the side, of radius r, at distance d below the surface. Find an expression for the volume flow rate through the hole.
Part B) A 2.0-mm-diameter hole is 1.0 m below the surface of a 2.0-m-diameter tank of water. What is the rate, in mm/min, at which the water level will initially drop if the water is not replenished?
At a sports car rally, a car starting from rest accelerates uniformly at a rate of 9.0 m/s^2 over a straight-line distance of 100 m. Does the driver beat this time
An ambulance with a siren emitting a whine at 1200 Hz overtakes and passes a cyclist pedaling a bike at 2.44 m/s, How fast is the ambulance moving
During an initial stage of construction, the beam is not to be bolted to the wall, but to be held in place solely by friction. What is the least coefficient of friction between the beam and the wall for the beam to remain in static equilibrium.
The vibration of a system in the ground state is called zero point motion, because the molecule is at zero kelvin. The tips of air plane wings(mass of order 10^4 kg) oscillate in flight (period of 1 s, amplitude of 0.1 m), could this be zero point mo..
a small object is released from rest just below the surface of the water. it takes time t to sink the bottom at depth
A solenoid has a radius of 1.87 cm and 1080 turns per meter. Over a certain time interval the current varies with time according to the expression I = 2.91e0.2t, Calculate the electric field 4.54 cm from the axis of the solenoid
A 11-g piece of Styrofoam carries a net charge of -0.85 ?C and floats above the center of a large, What is the charge per unit area on the plastic sheet
On a cool morning, while the temperature is 12.0 deg Celsius, you measure the pressure in your car tires to be 20psi. After driving 40.0 mi on the freeway, the temperature of your tires is 56deg Celsius. What pressure will your tire gauge now show..
A transverse wave of frequency 14 Hz propagates down a string. Two points 15 cm apart are out of phase by pi/6. What is the wave velocity
A student proposes to measure the gravitational constant G bysuspending two spherical objects from the ceiling of a tallcathedral and measuring the deflection of the cables from the vertical. what is the separation of the objects
A mass of 145 g of hot coffee at 90.0 oC is poured into an insulated cup containing 240 g of ice initially at 0.0 oC. How many grams of liquid will there be then
a car starts from the bottom of a hill with a slope of 10 degrees and travels with a constant velocity of 20m/s when its engine fails. Calculate the total time the car is in motion
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