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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?
Calculate each star's speed, and state whether it is moving toward or away from us.
compare with the force of gravitational attraction between them.Find the position of the particle after this time.
A wave of amplitude 0.40 m interferes with a second wave of amplitude 0.3 m traveling in the same direction. (a) What is the largest resultant amplitude that can arise.
A clean copper surface is exposed to light of wavelength 275 nm. What is the maximum speed of the photoelectrons emitted from this surface? Use the table below copper=4.7eV.
What should the charge (sign and magnitude) of a particle of mass 1.47 be for it to remain stationary when placed in a downward-directed electric field of magnitude 610.
A tuning fork vibrating at 666 Hz falls from rest and accelerates at 9.8 m/s 2. How far below point of release is the tuning fork when waves of frequency 626.4 Hz reach the release point? The speed of sound in air is 339 m/s.
What is the magnitude of the force on an electron that is in the region between the plates at a point accurately 2.52 mm from the positive plate
A uniform density cube of mass m, side 2b, and center at C is placed on a fixed horizontal cylinder of radius r and center O in Earth's gravitational field.
When two tuning forks of 128 Hz and 149 Hz, respectively, are sounded simultaneously, how various beats per second are heard.
How far does the car go before it stops. A car traveling at 50m/s runs out of gas while traveling up a 30 degree slope. how long will it travel before it rolls back down.
Estimate the electric field at a point 2.40 cm perpendicular to the midpoint of a uniformly charged 2 m-long thin wire carrying a total charge of 4.10 microC.
What horizontal force is needed to hold bag in new position
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