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A long, solid insulating cylinder of radius R = 1 mm has a uniform volume charge density and a total linear charge density of Lambda = 3:610^ -9 C/m. The electrostatic potential is zero at the surface. a) At what distance from the surface of the cylinder does the potential equal -90 V? b) If an electron is released from rest at the distance found in part (a), what is its speed just before it impacts the surface? c) What is the volume charge density rho in C/m^3? [Hint: Consider the total charge in a 1-meter length of the cylinder.] d) Use Gauss's Law to obtain an expression for the electric fi eld E(r) inside the cylinder. [Hint: Employ a cylindrical Gaussian surface of length L and radius r < R.] e) What is the potential (in V) on the axis of the cylinder?
A grindstone of a radius 4 m is firstly spinning with a radius of 8 rad/s. The angular speed is then increased to 12 rad/s over next 4.0 seconds. Suppose that the angular acceleration is constant. What is the average angular speed of grindstone.
On a workday the average decibel level of a busy street is 65 kb, with 121 cars passing a given point every minute. If the number of cars is reduced to 33 cars every minute on a weekend, what is the decibel level of the street.
A 2.00-liter aluminum cylinder at 5°C is filled to the brim with gasoline at the same temperature. If the aluminum and gasoline are warmed to 59°C, how much gasoline spills out.
A neutral conductor completely encloses a hole inside of it. you observe that the outer surface of this conductor carries a charge of -12 microC. A) can you conclude that there is a charge inside the hole? b) how much charge is on the inner surfac..
A train 400m long is moving on a straight track with a speed of 84.30km/h. The engineer applies the brakes at the crossing and later the last car passes crossing with the speed of 17.7 km/h. suppose constant acceleration; conclude how long the tra..
If a car travelling at 63 km/h will skid 18 m when its brakes lock, how far will it skid if it is travelling at 150 km/h while its brakes lock.
A jogger accelerates from rest to 5.87 m/s in 3.53 s. A car accelerates from 21.3 to 34.7 m/s also in 3.53 s. (a) Find the magnitude of the acceleration of the jogger. (b) Find out the magnitude of the acceleration of the car. (c) How much further..
A screen is placed 42.7 cm from a single slit that is illuminated with light of wavelength 677 nm. If the distance between the first and third minima in the diffraction pattern is 3.45 mm, what is the width of the slit.
A 26 kg gun is standing on a frictionless surface. The gun fires a .0573 kg bullet with a muzzle velocity of 323 m/s. The positive direction is that of the bullet immediately after the gun was fired. compute the momentum of the gun immedately afte..
Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial speed of 13.0 m/s at an angle 52.0 degrees; with respect to the horizontal. Sarah catches the ball 1.5 meters above the gr..
Calculate the dc voltage applied to the circuit.
The maximum transverse acceleration of a point at the middle of the segment is 8800 m/s^2 and the maximum transverse velocity is 3.50m/s.
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