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Suppose we have a tank containing 10 gallons of fresh water. Water containing 4 lbs/gal of salt enters at a rate in gal/min equal to half the current volume of water in the tank, and the well-stirred mixture leaves the tank at a rate in gal/min equal to a third of the current volume of water in the tank. If the tank has capacity 20 gallons, how much salt is in the tank at the moment it overflows?
Presume the child remains horizontal during the fall to the floor. Note that a more complicated fall could result in a head velocity greater or less than the speed you calculate.
The wheel of a car has a radius of .350 m. the engine of the car applies a torque of 295 Nxm to this wheel that does not slip against the road surface.
A 450 N ladder rests against a smooth wall, What is the friction force on the ladder at its base
An ac generator with a frequency of 1.14kHz and an rms voltage of 20.2V is connected in series with a 1.80killo ohm resistor and a 320mH inductor. What is the average power consumed by this circuit
The tungsten filament in the 36 ohm bulb is 8 mm long and has a cross-sectional area of 2e-10 m^2. What is the magnitude of the electric field inside this metal filament?
a laser beam with a wavelength of 524 nm is exactly perpendicular to a screen having two narrow slits spaced 0.150 mm
A baseball is thrown from the roof of 20.4m -tall building with an initial velocity of magnitude 13.9m/s, What is the speed of the ball just before it strikes the ground
Fish are hung on a spring scale to determine their mass (most fishermen feel no obligation to report the mass truthfully). How far apart are the half-kilogram marks on the scale
A solid metal sphere of radius a = 1.30 cm is surrounded by a concentric spherical metal shell of inner radius b = 1.90 cm and outer radius c = 2.40 cm. What is the surface charge density, sc, on the outer surface of the outer spherical conductor
a certain part of the electromagnetic spectrum ranges from 200 nm to 400 nm. what is the highest frequency associated
A vessel which contains an ice-water mixture at 0C is in thermal contact with a water-steam mixture at 100 C. What is the change in the entropy of the water-steam mixture at 100C
A stable and highly soluble pollutant is dumped into a lake at the rate of 0.19 tonnes per day. The lake volume is 2E7 m3 and the average water flow-through rate is 8E4 m3 per day
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