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Find the first and second derivative with respect to x of f(x) = (exp(x/a)-exp(-x/a))/2, where exp(x)=e^x is the exponential function.
How long does it take for the grinding wheel to stop ? Through how many radians has the wheel turned during the interval found in.
A loudspeaker of mass 24.0 {rm kg} is suspended a distance of h = 1.40 {rm m} below the ceiling by two cables that make equal angles with the ceiling. Each cable has a length of l = 3.70 {rm m}.
An artillery shell is fired with an initial velocity of 300 m/s at 47.5° above the horizontal. To clear an avalanche, it explodes on a mountainside 47 s after firing. What is the x and y components of the shell where it explodes, relative to its f..
Coherent light with wavelength 609nm passes through two very narrow slits, and the interference pattern is observed on a screen a distance of 3- {rm m} from the slits. The first-order bright fringe is a distance of 4.84 {rm mm} from the center of ..
Three equal point charges, each with charge 1.50 mu C, are placed at the vertices of an equilateral triangle whose sides are of length 0.6m. What is the electric potential energy U of the system.
What tension in Newtons should a 50cm length of string support in order to whirl an attached 2000g stone in a circular path at 5 m/s.
Compute the numerical value for acceleration
Compute the camels eastward displacement
Two children, Mary and Kate, are riding on a merry-go-round. Mary is at a greater distance from the axis of rotation than Kate. Which child has the larger angular speed? Tangential speed? Centripetal acceleration?
A spring has a force constant of 931N/m and an unstretched length of 8 cm. One end is attached to a post that is free to rotate in the center of a smooth table.
at what rate is the passenger train approaching the freight train.
A certain light truck can go around a flat curve having a radius of 150 m with a lowest speed of 38.0 m/s. With what maximum speed can it go around a curve having a radius of 87.0 m.
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