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1. A hemispherical bowl of radius 2 m lies with its base on the xy-plane and with its center at the origin. Write the expression for the scalar field, describing the height of points on the bowl as a function of x and y.
2. A number equal to the sum of its coordinates is assigned to each point in a rectangular room having three of its contiguous edges as the coordinate axes. Draw a sketch of the constant-magnitude surfaces for the number field generated in this manner.
The intake in the figure has cross-sectional area of 0.80 m2 and water flow at 0.41 m/s. What is the pressure difference between inlet and outlet
If a capacitor has opposite 4.9 oC charges on the plates, and an electric field of 2.3 kV/mm is desired between the plates, what must each plate's area be?
A 7.00 N window washer is standing on a uniform scaffold supported by a vertical rope at each end. What is the force in each rope when the window washer stands 1.00 m from one end
A scuba tank has a volume of cm2. For every deep dives, the tank is filled with (by volume) pure oxygen and 50% pure helium. What is the ratio of the rms speeds of the two types of molecules
At the local playground a child on a swing has a speed of 2.02 m/s when the swing is at its lowest point. (a) To what maximum vertical height does the child rise, assuming he sits still and "coasts"? Ignore air resistance. (b) How do your results cha..
A pot with a steel bottom 8.50mm thick rests on a hot stove. The area of the bottom of the pot is 0.150m^2. Find the temperature of the lower surface of the pot
A 13.0 mu F capacitor is connected to a power supply that keeps a constant potential difference of 26.0 V across the plates. By how much did the energy change during the insertion
An archer shoots an arrow horizontally at a target 15m away. What was the initial speed of the arrow
a golfer tees off on level ground giving the ball an initial speed of 37.5 ms and an initial direction of 40.5deg above
The Mariana trench is located in the Pacific Ocean at a depth of about 11 000 m below the surface of the water. For comparison, determine the weight of a jetliner whose mass is 6.01 × 105 kg
A softball player swings a bat accelerating it from rest to 2.6 rev/s in a time of .20s. compute the torque the player applies to one end of it
A proton accelerates from rest in a uniform electric ?eld of 677 N/C. At some later time, its speed is 9.4 × 10 5 m/s. how far has it moved in this time interval
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