In the figure, water stands at depth D = 35.0 m behind the vertical upstream face of a dam
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In Fig. 14-35, water stands at depth D = 35.0 m behind the vertical upstream face of a dam of width W = 314 m. Find (a) the net horizontal force on the dam from the gauge pressure of the water and(b) the net torque due to that force about a horizontal line through O parallel to the (long) width of the dam. This torque tends to rotate the dam around that line, which would cause the dam to fail. (c) Find the moment arm of the torque. ... https://www.youtube.com/watch?v=nNbciywMN3Q
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A muon (an elementary particle) enters a region with a speed of 5.00 x 10^6 m/s and then is slowed at the rate of 1.25 x 10^14 m/s^2. (a) How far does the muon take to stop? (b) Graph x versus t and v versus t for the muon.
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An electron moving along the x axis has a position given by x = 16te^-t m, where t is in seconds. How far is the electron from the origin when it momentarily stops?
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How many significant figures do each of the following numbers have: (a) 214, (b) 81.60, (c) 7.03, (d) 0.03, (e) 0.0086, (f) 3236, and (g) 8700?
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Time standards are now based on atomic clocks. A promising
second standard is based on pulsars, which are rotating neutron
stars (highly compact stars consisting only of neutrons).
Some rotate at a rate that is highly stable, sending out a radio
beacon that sweeps briefly across Earth once with each rotation,
like a lighthouse beacon. Pulsar PSR 1937 + 21 is an example; it
rotates once every 1.557 806 448 872 75 +/- 3 ms, where the trailing
+/-3 indicates the uncertainty in the last decimal place (it does not
mean +/-3 ms). (a) How many rotations does PSR 1937 + 21 make
in 7.00 days? (b) How much time does the pulsar take to rotate exactly
one million times and (c) what is the associated uncertainty?
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The nucleus of a plutonium-239 atom contains 94 protons. Assume that the nucleus is a sphere with radius 6.64 fm and with the charge of the protons uniformly spread through the sphere. At the surface of the nucleus, what are the (a) magnitude and (b) direction (radially inward or outward) of the electric field produced by the protons?
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An ideal gas expands isothermally, performing 4.30 x 10^3 J of work in the process. Calculate (a) the change in internal energy of the gas, and (b) the heat absorbed during this expansion.
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If B is added to A, the result is 6.0i + 1.0j. If B is subtracted from A, the result is -4.0i + 7.0j. What is the magnitude of A?
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It is said that in ancient times a rich man with a bag of
gold coins was stranded on the surface of a frozen lake.
Because the ice was frictionless, he could not push himself
to shore and froze to death. What could he have done to
save himself had he not been so miserly?
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