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A tank originally contains 500 litres of fresh potable water. Brine containing 1 kg of salt for every 10 litres of brine is then added into the tank at a rate of 5 litres per minute. The brine solution leaves the tank through the outlet at 5 litres per minute. Derive a mathematical model that represents how much dissolved salt is in the tank as a function of time.
Assume the solution in the tank is always well-mixed. State what other assumptions are used.
A massless spring with spring constant 9.60 N/m hangs vertically. A body of mass 2.70 kg is attached to its free end and then released. Calculate the amplitude of the motion and frequency
In case A, a metal bullet penetrates a wooden block, In case B, a rubber bullet with the same initial speed and mass, bounces off of an identical wooden block. Will the speed of the bullet in case B after the collision be or = of speed just before ..
A 35 g ice cube at 0.0°C is added to 110 g of water in a 62 g iron cup. The cup and the water have an initial temperature of 26°C. Discover the equilibrium temperature of the cup and its contents.
A small object is placed to the left of a convex lens and on the optical axis. What is the position of the image formed by the lens
Two events occur in an inertial system at the same time, but 8145 km apart. What is the time difference between the two events in this second inertial system
As shown above, a uniform boom with a mass of 25.0 kg and a length of 3.00 meters is suspended at its left end by a low friction bearing and at its middle by low mass steel wire of diameter 4.00 mm. Y steel = 2.00 *10^11 Pa. Find the tension in the c..
A rectangular wire coil with 200 windings in the yz plane has dimensions 2cm x 6cm and carries a current of 3 A in the clockwise direction looking from the side of the +x axis. What is the magnitude and direction of the coil's magnetic moment
A wire with mass 55.0g is stretched so that its ends are tied down at points 96.0cm apart. What is the speed of propagation of transverse waves in the wire
Two circuits contain an emf produced by a moving metal rod, likethat shown in the drawing. The speed of the rod is the same in eachcircuit, but the bulb in circuit 1 has one-half the resistance of the bulb in circuit 2.
Jupiter subtends an angle of 1.67 x 10-4 rad when viewed by the unaided eye and 3.25 x 10-2 rad when viewed through an astronomical telescope that has a 0.035-m focal length eyepiece. Determine the focal length of the telescope's objective lens.
A 18 g rifle bullet traveling 230 m/s buries itself in a 3.6 kg pendulum hanging on a 2.8 m long string, evaluate the horizontal component of the pendulum's displacement
For no apparent reason, a poodle is running at a constant speed of 3.40 m/s in a circle with radius 2.8m. Let v1 be velocity vector at time t1, and let v2 be the velocity vector at time t2.
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