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The electric charge of a proton is distributed over a volume. The distribution of the proton can be approximated by the exponential equation rho = e/(8*pi*b)exp(-r/b). r is the radial position inside the proton and b equals .23 * 10^-15 m. Find the electric field as a function of the radial distance. What is the magnitude of the electric field at r = 1 * 10^-15 m? Compare the electric field strength you find to that of a point charge of magnitude e. At what distances r do these two differ by 10% or more? Hint: You will need to integrate over the volume of a sphere where the volume element is dV = r^2*dr d(cos(theta))d (phi). Since the charge distribution only depends on r the integrals over the angles and are simple and give a factor of 4*pi times the radial integral. I'm confused as to how to even approach this problem. Any and all help would be much appreciated.
On a workday the average decibel level of a busy street is 80 dB, with 100 cars passing a given point every minute. If the number of cars is reduced to 45 every minute on a weekend, what is the decibel level of the street.
determine the resultant displacement graphically.what is the magnitude of repulsive force pushing these two spheres apart.
A falling stone takes 0.28 s to travel past a window 2.2 m tall. From what height above the top of the window did stone fall.
Therefore of his observations, Ole Roemer concluded that eclipses of Io by Jupiter were delayed by 22 min throughout a six-month period as the Earth moved from the point in its orbit where it is closest to Jupiter to the diametrically opposite point ..
A rotating cylinder about 18km in length and 6km in diameter is designed to be used as a space colony. With what angular speed must it rotate so that residents on it will experience the same acceleration because of gravity on Earth.
An emf is induced in a conductin loop of wire 1.03 m long as its shape is changed from square to circular. Find the average magnitude of the induced emf if change in shape occurs in 4.15s and the local 0.131-T magnetic field is vertical to the pla..
A diffraction grating with 330 {rm lines/mm} is 1.00 {rm m} in front of a screen. What is the wavelength of light whose first-order maxima will be 17.0 {rm cm} from the central maximum on the screen.
Objective questions based on work, energy, power.
The magnitude of the vector is 45.0 units and points in the direction 386 counter clockwise from the positive x-axis. Calculate the x-component of this vector.
The molecule has a rotational kinetic energy that is of the translational kinetic energy of its center of mass. What then is molecule's angular speed about the center of mass.
Water falls without splashing at the rate of 0.210 L/s from a height of 3.90m into a 0.590 kg bucket on a scale. If the bucket is originally empty, what does the scale read 4.00 s after water starts to accumulate in it.
Using and Atwood machine with masses m1 and m2, at first with m1 a distance 2h above m2, what is the speed of either mass they pass each other? Make use of energy to solve (hint they cross halfway between the starting positions of the two masses).
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