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Verify the correctness of the superimposed exact solution in Example, Figure.
Example
Solve numerically the differential equation
4x"+2000 x=F(t)
with initial conditions
x1=x'1=0
and the forcing function shown in Figure .
Two small conducting spheres have a total charge of 90 uC. When placed 0.28 m apart, the force each exerts on each other is 12.0 N and is repulsive. What is the charge on each? What if the force were attractive?
A light beam is incident on a piece of water (n = 1.333) at the Brewster's angle. Find the value of Brewster's angle
Air flows over and parallel to a flat plate at 2 m=s. How long is the laminar portion of the boundary layer if the air temperature is 30-C
You lower a weight of metal in a beaker filled with water standing on a scale. When metal weight hangs above the water weighs 179.6 grams.
An electron of mass 9.11×10?31 leaves one end of a TV picture tube with zero initial speed and travels in a straight line to the accelerating grid, Find the Time to reach the grid
A 4.9-N hammer head is stopped from an initial downward velocity of 3.2 m/s in a distance of 0.45 cm by a nail in a pine board. Calculate the downward force F exerted by the hammer head on the nail while the hammer head is in contact with the nail a..
An object is placed 3.4 cm to the left of a converging lens of focal length 2.8 cm. A convex mirror of focal length -3.9 cm is placed 5.4 cm to the right of lens. A) What is the image distance for the image produced by the lens?
A cylindrical copper cable carries a current of 1100 A. There is a potential difference of 1.6 multiplied by 10-2 V between two points, What is the radius of the cable
Two charges, +e and -e, are a distance of 0.870 nm apart in an electric field, E, that has a magnitude of 3.09 kN/C, Calculate the torque on the dipole in the electric field
A 0.06-kg lead bullet traveling 298 m/s strikes an armor plate and comes to a stop. If all of the bullet's energy is converted to heat that it alone absorbs, what is its temperature change
An ethernet cable is 4.15 m long and has a mass of 0.195 kg. A transverse pulse is produced by plucking one end of the taut cable. What is the tension in the cable
Your spaceship lands on an unknown planet. To determine the characteristics of this planet, Express the planet's mass in terms of the earth's mass
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