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Problem 1: A metal cylinder of height h = 0.8m and cross-section S = 0.02m^2, is floating upright in water. The density of the metal cylinder is p metal = 550kg/m^3, and the density of water is p water = 1000 kg/m^3. Compute the length of the cylinder outside the water.
Problem 2: A tank of large area is filled by water to a depth D = 2cm. A hole of cross-sectional area S = 0.01m^2 in the bottom of the tank allows water to drain out. At what distance below the bottom of the tank is the cross-sectional area of the stream equal to S/2?
A battery with an emf of 12 V and an internal resistance of 1Ω is used to charge a battery with an emf of 10 V and an internal resistance of 1 Ω. Discover the current in the circuit.
A steel ball of mass M is released from rest at point P. It follows a smooth curved rail to point Q and finally reaches point R with K.E. of 7J. The speed of the ball at point Q is 2MS-1 and the height between point P and the ground is 3m. Then find ..
The supertanker Globtik London has a mass of 220,000 metric tons when empty and it can carry up to 440,000 metric tons of oil when fully loaded. What is the draft of the fully loaded tanker
A 2.9-cm-tall object is 35 cm in front of a converging lens that has a 8.8 cm focal length. Calculate the image position and height
Which of the following devices use a diffraction grating in order to function?
A metal rod is 40.127cm long at 20.3 oC and 40.149cm long at 45.0 oC. Calculate the average coefficient of linear expansion of the rod's
A lossless transmission line is connected to a load of ZL=30 ohms at one end and a sinusoidal voltage generator at the other end, with Vg = 1? 0o (V) at the other end. The characteristic impedance and the length of the transmission line are Zo = 5..
A solid cube of mass 40kg and edge length .30mrests on a horizontal floor. A person then pushes on the upper edgeof the cube with a horizontal force of magnitude F. At what valueof F will the cube start to tip? Assume the frictional force fromthe flo..
For a damped oscillator with a mass of 360 g, a spring constant 110 N/m and a damping coefficient of 87.00 g/s, what is the ratio of the amplitude of damped oscillations to the initial amplitude at the end of 28 cycles.
Three sticks are arranged to forma right triangle. if the lenghts of the sticks are .47m, .62m, and .78m, what are the angles of the triangle?
A rope is used to pull a 3.57 kg block at constant speed5.26 m along a horizontal floor. What is the work done by the rope's force
A ray of light is incident at angle 60 degrees on the upper surface of a transparent plate of thickness h=1cm, What is that lateral displacement d of the outgoing ray with respect to the incident ray
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