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Sphere in a cylinder **
An infinite cylinder with uniform volume charge density ρ has its axis lying along the z axis. A sphere is carved out of the cylin- der and then filled up with a material with uniform density -ρ/2. Assume that the center of the sphere is located on the x axis at position x = a. Show that inside the sphere the component of the field in the xy plane is uniform, and find its value. Hint: The technique used in Problem 1.27 will be helpful.
A 175-g object is attached to a spring that has a force constant of 76.5 N/m. The object is pulled 9.75 cm to the right of equilibrium and released from rest to slide on a horizontal, frictionless table. Compute the maximum speed of the object.
a proton is sent into a region of constant magnetic field oriented perpendicular to the protons path. there the proton
Lightning As a crude model for lightning, consider the ground to be one plate of a parallel-plate capacitor and a cloud at an altitude of 680m to be the other plate. Assume the surface area of the cloud to be the same as the area of a square that ..
In a refrigerator the working fluid remains a gas throughout the cycle. Its working may be described in a greatly simplified form as a sequence of four steps as follows: 1 The fluid passes through the refrigerated compartment, where its temperatur..
A pendulum of length 1m is released from an initial angle of 15 degrees. After 1000 sec, its amplitude is reduced with friction to 5.5 degrees. What is the value of its time constant?
Sucrose is allowed to diffuse along 8.0 cm length of tubing filled with water. The tube is 5.6 cm^2 in cross-sectional area. The diffusion coefficient is equal to 5.0*10^-10 m^2/s, and 8.0* 10^-14 kg is transported along the tube in 19 s. What is the..
Two capacitors (C1=1.00 ?F and C2=2.00 ?F) are charged with Q1=3.00 ?C on the positive plate of capacitor 1 and Q2=3.00 ?C on the positive plate of capacitor 2, find the total charge on the positive plate of capacitor 1
A block with mass of .6 kg has an initial speed of 4 m/s and slides along a horizontal surface with a kinetic frictional force of 700 N. How far will the spring be compressed
in a single-slit fraunhofer diffraction pattern which fringe number has a peak intensity that is 0.5 percent of the
If the electron follows a circular path with a radius of 17cm , what is the magnitude of the magnetic field
An Olympic sprinter competes in 100m dash. The runner accelerates from rest to maximum speed at a constant rate during the first 3s, What are the accelerations and maximum speed of the sprinter
on june 14 2005 asafa powell of jamaica set a worlds record for the 100-m dash with a time t 9.77 s. assuming he
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