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At a given instant of time the temperature distribution within an infinite homogeneous body is given by the function T(x, y, z) = x2 - 2y2 + z2 - xy + 2yz Assuming constant properties and no internal heat generation, determine the regions where the temperature changes with time.
A force of 715 N is applied to a roller-coaster car to push it horizontally. If 2.72 X 10^4 J of work is done on car, how far has it been pushed.
The 1994 Winter Olympics included the aerials competition inskiing. In this event skiers speed down a ramp that slopes sharplyupward at the end. The sharp upward slope launches them into the air, where they perform acrobatic maneuvers.
A proton and an electron have the same kinetic energy upon entering a region of constant magnetic field. What is the ratio of the radii of their circular paths
A electric model train travels at 34.7 cm/s around a circular track of radius 1.61 m. Find the train's period of revolution
A variable-speed drill, initially turning at 250 rpm, speeds up to 1300 rpm in a time interval of 0.1 s. What is its average rotational acceleration
Assume that a gold nucleus has a radius of 6.23 fm and analpha particle has a radius of 1.80 fm. What energy must an incident alpha particle have in order to "touch" the gold nucleus
A 1.5 mlong glass tube that is closed at one end is weighted and loweredto the bottom of a freshwater lake. Determine the depth of the lake
A thin film of acetone (n = 1.25) coats a thick glass plate (n = 1.50). White light is incident normal to the film. Calculate the thickness of the acetone film
A log of mass 40 kg is dropped into river at 0°C. If the relative density of the log is 0.8, what will be the volume of the log above the surface
A particle of mass 0.350 kg is attached to the 100-cm mark of a meterstick of mass 0.125 kg. Calculate the angular momentum of the system when the stick is pivoted about an axis perpendicular to the table through the 50.0-cm mark
A car with 66 -diameter tires accelerates uniformly from rest to 20 in 20 . How many times does each tire rotate
A diver comes off a board with arms straight up and legs straight down, giving her a moment of inertia about her rotation axis of 19.5 kg · m2. She then tucks into a small ball, decreasing this moment of inertia to 3.65 kg · m2. While tucked, she mak..
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