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Water Flow through a Pressurized Tank Water flows from a large enclosed tank through a horizontal pipe of variable cross-sectional area, as shown in Figure 12-45. The upper end of the tank is maintained at an absolute pressure of 1.20 × 105 N/m2 by pumping compressed air into it. The horizontal outlet of the pipe has a cross-sectional area of 4.00×〖10〗^(-2) m^2 in the larger section and 2.00×〖10〗^(-2) m^2 in the smaller section. A vertical tube of cross-sectional area 4.00×〖10〗^(-2) m^2 is connected to the horizontal tube and open to the atmosphere.
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Nuclear Physics
Water Pressure in a Home Water needs to be pumped to the third floor of a building that is 10.0 m above ground level. The required pressure must maintain a flow rate of 0.25 L/s from a pipe of 2.0 cm diameter. The mechanical pump is located at ground level and pumps the water through a 4.0 cm diameter pipe (see Figure 12.44). Ignore frictional forces.
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Nuclear Physics
Electric Flux with Different Electric Field in Two Parts As shown in Figure 20-8, a uniform electric field, E ⃗=-95.0 N/C j ̂, is present when x<0, and E ⃗=.0 N/C j ̂ when x<0. A 10.0 cm by 24.0 cm rectangle lies in the xz-plane with half of it in the region x<0. What is the electric flux through the rectangle?
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Nuclear Physics
Flux through a Circle As shown in Figure 20-7, the momentum flow in a fluid vector field has a magnitude of 12.5 kg•m/s oriented at an angle of 65.0° to the horizontal. What is the flux through a horizontal circle of radius 25.0 cm?
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Nuclear Physics
Electric Flux for a Closed Cylinder The uniform electric field in a certain region is given by E ⃗=-2.00 N/C k ̂ If we draw a cylinder of radius R and length L aligned along the z-axis and define the centre of a coordinate system at the centre of the cylinder (see Figure 20-9), what is the electric flux for the surface of the cylinder?
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Nuclear Physics
Electric Field inside and outside a Charged Sphere A solid non-conducting sphere of radius R carries a total positive charge of Q . The charge is uniformly spread through the sphere. Derive an expression for the electric field at a radial distance r<R. What is the electric field at the surface of the sphere? What is the electric field for points outside the charged sphere,r>R? Plot the electric field strength as a function of radial distance.
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Nuclear Physics
Two Charged Spherical Shells Two thin concentric spherical shells carry positive charges of Q_1 and Q_2 and have radii R_1andR_2, whereR_1<R_2. Find expressions for the electric field in all three regions: outside both shells, r>R_2 between the two shells, R_1<r<R_2 inside the smaller shell, r<R_1
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Nuclear Physics
Combination of Two Thin Lenses Two converging lenses with focal lengths of f_1=20.0 cm and f_2=20.0 cm are placed parallel to each other so their centres are aligned along the principal optical axis (Figure 28-38). The lenses are separated by a distance of d = 10.0 cm. A 30.0 cm tall object is located 100 cm to the left of lens 1 (L_1). Describe the properties of the image produced by this combination of lenses.
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Nuclear Physics
