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An electron is a subatomic particle (m = 9.11 x 10-31 kg) that is subject to electric forces. An electron moving in the +x direction accelerates from an initial velocity of +7.93 x 105 m/s to a final velocity of 2.90 x 106 m/s while traveling a distance of 0.0904 m. The electron's acceleration is due to two electric forces parallel to the x axis: = 9.68 x 10-17 N, and , which points in the -x direction. Find the magnitudes of (a) the net force acting on the electron and (b) the electric force .
A jewelry floor safe with a square base is to be made so as to have a total volume of 648 cubic inches. The side material for the safe costs $1 per square inch.
Find a vector function whose graph is the curve of intersection of the elliptical cylinder (1/9)x^2 + z^2 = 1 and the parabolic cylinder y = x^2.
The subgroup-intermediate subfield given in the fundamental theorem of Galois Theory,
Let X and Y have joint density fXY (x; y) = c(x + y)^2 for 0≤ x ≤1; 0≤y≤1.
An object is thrown upward from the top of a 112-foot building with initial velocity of 96 feet per second.the height of h of the object after t seconds is given by the quadratic equation h =-16t^2+96t+112 when will the object hit the ground?
A rectangular swimming pool 60 ft long, 10 ft wide, and 12 ft deep is filled with water to a depth of 11 ft. Use an integral to find the work required to pump all the water out over the top. (Take as the density of water delta = 62.4 hbox{lb/ft}^3..
Find the firing angle in degrees of a projectile fired at an initial velocity of 100 feet per second so that it strikes the ground 312.5 feet from the firing point.
Kelly Fisher invested a total of $20,000 invested in two municipal bonds that have yields of 7% (bond A) and 9% (bond B) interest per year, respectively. If the interest Kelly receives from the bonds in a year is $1480, how much did she invest in ..
Use the point-slope form of the linear equation to find an equation of the line with the given slope and passing through the given point. Then write the equation in standard form.
A final exam in Sociology has a mean of 72 and a standard deviation of 9.2. if 35 students are randomly selected, find the probability that the mean of their test scores will be greater than 76.
Problems on probability
Sue, a recent retiree, requires $6,000 per year in extra income. She has $50,000 to invest and can invest in B-rated bonds paying 15% per year or in a certificate of deposit (CD) paying 7% per year. How much money should be invested in each to rea..
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