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An electron has an initial velocity with an x component of zero, a y component of 9.35 km/s, a z component 16.1 km/s, and a constant acceleration of 1.60 x 1012 m/s2 in the positive x direction in a region in which uniform electric and magnetic fields are present. If the magnetic field has a magnitude of 428 µT and is in the positive x direction, find the (a)x, (b)y, and (c)z components of the electric field.
For the vector 100i+150j-300k kN determine its magnitude, the direction, angle alpha, beta, and gamma and the unit vector.
A wave has a height of 1.5 m in water 5 m deep and a wave period of 6 s. Plot the horizontal component of velocity, the vertical component of acceleration, and the dynamic pressure at a point 2 m below the still water level versus time for a 6-s i..
Three stock car drivers are racing around a circular bend. They are each circling the bend at different radii: r(1)=249 m , r(2)=255 m , and r(3)=261 m . At a given instant, all three are traveling at the same transverse rate of rotation
if the velocity of the sled 10 sec from the start is 200mi\hr, determine the time average R of the total aerodynamic and mechanical resistance to motion. neglect the loss of mass due to exhausted fuel compared with the mass of the sled
Knowing that the magnitude of P is 35 N, determine by trigonometry (a) the required angle a if the resultant R of the two forces applied to the support is to be horizontal, (b) the corresponding magnitude of R.
The coefficient of static friction between each crate and the ground is 0.25 The crates are next to each other connected by a rope and then from the other end one has a P force going up at an angle of 30 degrees
After the Chernobyl accident, the concentration of 137Cs in milk was proportional to the concentration of 137Cs in the glass that cow consumed. The concentration in the grass was, in turn, proportional to the concentration in the soil.
Develop a table that shows: 1) How many gallons of water are contained in the tank if the volume is measured in increments of 1 ft from the bottom to the top. 2) The mass of water at each increment, expressed in lbm.
Vehicles arrive at a toll booth with a mean arrival rate of 2 veh/min (the time between arrivals is exponentially distributed). The toll booth operator processes vehicles (collects tolls) at a uniform deterministic rate of one every 20 seconds. Wh..
A sample of natural glacial till was taken from below the groundwater table. The water content was found to be 52%. Estimate the wet density, dry density, buoyant density, porosity and void ratio. Clearly state any necessary assumptions.
The torsional assembly consists of a solid bronze [G = 49 GPa] segment (1) with diameter d1 = 90 mm securely connected at flange B to solid stainless steel [G = 89 GPa] segments (2) and (3), with diameter d = 100 mm.
A new sponge iron factory has an annual capacity of 100,000 tons/year of Iron production. Benzopyrene is produced during this process at a rate of 0.00006% of Iron produced.
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