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Develop the full Fourier series for the function f(x) = |x|
(a) over the range 0 <= x <= 2
(b) over the range -2 <= x <= 2
(c) Make a plot showing the original function and the sum of the terms up to n = 5 in each series. Comment on the similarities and differences between the two series.
A conical pendulum is formed by attaching a 50 g mass to a 2 m string. The mass swings around a horizontal circle of radius 1 m. What is the acceleration of the mass
In order to study the long-term effects of weightlessness, astronauts in space must be weighed (or at least "massed"). Find the mass of the astronaut
A 92-keV x-ray is Compton-scattered through an angle of 10o. What is the energy of the x-ray after scattering
light of wavelength 5.00 x 102 nm passes through a slit of width 0.210 mm.a find the width of the central maximum on a
Consider two masses that hang from an overhead beam. The first mass of 62.9 kg is attached to the beam using an ideal rope. Find the tension in the lower rope
An electron with an initial speed of 342910 m/s is brought to rest by an electric field. What was the potential difference that stopped the electron
A projectile is shot from the edge of a vertical cliff 60.0 m above the ocean. How far from the foot of the vertical cliff does the projectile hit the water
With what speed must a ball be thrown vertically from ground level to rise to a maximum height of 35 m
A 5.00-g bullet, traveling horizontally with a velocity of magnitude 490 m/s, is fired into a wooden block with mass 0.800 kg, initially at rest on a level surface. What is the decrease in kinetic energy of the bullet
At a point near the equator, the Earth's magnetic field is horizontal and points to the north. If an electron is moving vertically upward at this point, does the magnetic force acting on it point north, south, east, west, upward, or downward?
Machmer Hall is 400 m North and 180 m West of Witless. Astudent is late for her appointment in Machmer and wants to runthere directly from Witless. What is the distance from Witless to Machmer
An airplane, capable of flying at a speed of 500 miles/hr in still air (i.e., the airplane can fly with a speed of 500 miles/he relative to the air), How long does it take the plane to fly over the river
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