615. The radius of a spherical container is r centimeters, and the water in it is h centimeters d...
please answer this multiple choice question The following statement concerns questions 6-8 A spherical water tank of radius r is at a depth h from the ground. Suppose that wa has density ρ. Ground 4U1 (o.0) Figure 2: Spherical underground water tank. 8. (10 points) Write the integral expression for the work of pumping the water up to th ground pgu(r +h - u)2 du h+2r h+2r h+2r The following statement concerns questions 6-8 A spherical water tank of radius...
please answer this multiple choice question The following statement concerns questions 6-8. A spherical water tank of radius r is at a depth h from the ground. Suppose that water has density p. Ground 0.0 Figure 2: Spherical underground water tank. 6. (10 points) Find the volume of a horizontal cross-section at a depth u below the ground. (A) dV (r+h-u)u (C) dV- (r+h - u)2 du (D) dV + h -u)' du (E) dV π (r2-(r + h-u)*) du...
please answer this multiple choice question The following statement concerns questions 6-8. A spherical water tank of radius r is at a depth h from the ground. Suppose that water has density ρ. Ground (xy) Figure 2: Spherical underground water tank 7. (10 points) Find the work needed to pump a thin layer of water at depth u up to the ground. See Figure 2. (A) pgu (r2-(r+h -u)) du (B) pgu(r + h - u) du (D) πρgu (rs_...
MATLAB! part (b) find h A spherical tank of radius R meters is to be used to hold fluid. You are given a stick to dip into tank, and you want to calibrate the scale on it such that it reads the volume of fluid in the tank. (a) Find the equation whose solution determines the height of the fluid for a given volume V. Provide details of your work. (b) For R = 3 and a sample volume V...
1.) Consider a spherical shell of radius R uniformly charged with a total charge of -Q. Starting at the surface of the shell going outwards, there is a uniform distribution of positive charge in a space such that the electric field at R+h vanishes, where R>>h. What is the positive charge density? Hint: We can use a binomial expansion approximation to find volume: (R + r)" = R" (1 + rR-')" ~R" (1 + nrR-1) or (R + r)" =R"...
A conical tank of radius R and height H, pointed end down, is full of water. A small hole of radius r is opened at the bottom of the tank, with r, much much less than, R so that the tank drains slowly. Find an expression for the time T it takes to drain the tank completely. Hint 1: use Bernoulli’s equation to relate the flow speed from the hole to the height of the water in the cone. Hint...
Cumulative Problem 17 A spherical container is constructed from steel and has a radius of 2.00 m at 17.0 •C. The container sits in the Sun all day, and its temperature rises to 40.0 •C. The container is initially filled completely with water, but it is not sealed. The coefficient of linear expansion of steel is 13*106. The coefficient of volume expansion of water is 207*10-6. 1) By how many cubic meters does steel expand? (Express your answer to three...
A spherical container is constructed from steel and has a radius of 2.00 m at 17.0∘∘C. The container sits in the Sun all day, and its temperature rises to 41.0∘∘C. The container is initially filled completely with water, but it is not sealed. 1.By how many cubic meters does steel expand? (Express your answer to three significant figures.) 2. By how many cubic meters does water expand? (Express your answer to three significant figures.)
Consider an infinitely long cylinder of radius R with two spherical cavities, also of radius R. The cylinder carries a uniform volume charge density of ρ. There are two point charges at the center of the spherical cavities both of charge q. Hint: Just as the previous hint, superposition is your friend. A suggestion is to find the contributions from the cylinder and spheres separately. (a) Find the electric field at the points A, B, and C in the diagram...
Consider a hemi-spherical tank with radius R = 16 see figure that is initially entirely filled with a fluid. At time t=0, the fluid begins to drain through an opening in the bottom of the tank see figure] until the tank is completely empty at t = tend- t= 0 te (0, tend) (a) At any time t, consider the maximum depth of fluid in the tank, h = h(t), and the corresponding radius of the surface of the fluid,...