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Q. Two balls, of masses m_A = 50 {rm g} and m_B = 61 {rm g}, are suspended as shown in the figure. The lighter ball is pulled away to a 66 ^circ angle with the vertical and released. Assume that the positive x axis is directed to the right.
Q. Sewage at a certain pumping station is raised vertically by 5.65 m at the rate of 1 850 000 liters each day. The sewage, of density 1 050 kg/m3, enters and leaves the pump at atmospheric pressure and through pipes of equal diameter.
(a) Find the output mechanical power of the lift station.
(b) Assume an electric motor continuously operating with average power 4.65 kW runs the pump. Find its efficiency.
A particle with a charge of q = -5.40 nC is moving in a uniform magnetic field of vec{B}=( -1.24 T ) hat{z}. The magnetic force on the particle is measured to be vec{F}= ( -7.60×10-7 N )hat{y}. find v_x, the x component of the speed of the particl..
A hollow aluminium cylinder 20 cm deep has an internal capacity of 2.000 L at 20.00C. It is completely filled with turpentine and then warmed to 80.00C. (i) How much turpentine overflows? (ii) If it is then cooled back to 20.00 C, how far below th..
A soprano saxophone is an open pipe. If all keys are closed, it is approximately 65 cm long. Using 343 m/s as the speed of sound, find the lowest frequency that can be played on the instrument.
A certain car battery with a 12.0 V emf has an initial charge of 115 A·h. Assuming that the potential across the terminals stays constant until the battery is completely discharged, for how various hours can it deliver energy at the rate of 110 W.
Two heavy pendula of mass m are suspended from strings of length l inside a railroad car of mass M that can roll freely on horizontal tracks (ignore the moment of inertia of the wheels).
Question: For all generators: Eg = 1\"\"0°, χ1 = j0.25 For all transformers: χ1 = j0.75 [A] Write the Y and Z matrices. B] Write the model equation. [C] For each bus, find V, ρ and Q.
Two sound speakers separated by a distance of 3-meters, are driven in phase by same audio amplifier. A listener sits directly in front of one speaker at a distance of 4 meters from it so that listener and speakers form a right triangle.
A carbon sample of the same size taken from a fresh piece of bone emits 16 beta emissions a minute. How long ago did the saber-tooth tiger live?
Compute the density of entropically raised element of air
A 67 kg man weighs 637 N on the Earth's surface. How far above the surface of the Earth would he have to go to "lose" 19 percent of the body weight.
Compute the ground state energy and wavefunction
A gymnast with mass m1 = 40 kg is on a balance beam that sits on (but is not attached to) two supports. The beam has a mass m2 = 110 kg and length L = 5 m. Each support is 1/3 of the way from each end. at first the gymnast stands at the left end of..
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