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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?
Two blocks are connected by a string. The smooth inclined surface makes the angle of 35 degrees with the horizontal, and the block on the incline has a mass of 5.7 kg.
What is the volume of the bubble when it reaches just below the surface of the lake, where temperature is 20°C.
A ball is thrown from the top of a building upward at an angle of 39degrees to the horizontal and with an initial speed of 24m/s. The ball is thrown at a height of 57 m above the ground and hits the ground 98.55 m from the base of the building. Wh..
A rectangular air mattress is 2.10m long, 0.48m wide and 0.09 m thick. If it has a mass of 2.30 kg, what additional mass can it support in water.
A solid, frictionless cylindrical pulley with a mass of 3kg and a 0.420 m radius is used to draw water from a well. A 1.50kg bucket is attached to a cord that is wrapped around the pulley. If the bucket starts from rest at the top of the well and ..
what are the magnitude and direction of its acceleration. find out the magnitude of the charge on the moving particle.
The tuner starts with the tension in the E string a little low, after that tightens it. What is the frequency of the E string while she hears four beats per second.
Starting with the left-most column, populate the boxes from left to right without skipping empty boxes. Ties should be grouped in the same box
The mass of a roller-coaster car, including its passengers, is 495kg. Its speed at the bottom of the track in the figure below is 17.00 m/s. The radius of this section of track is r1 = 26 m. Find the force that a seat in the roller-coaster car exerts..
A particle has a charge of +1.7 ?C and moves from point A to point B, a distance of 0.12 m. The particle experiences a constant electric force, and its motion is along the line of action of the force. The difference between the particle's electric..
A sphere of mass 2.8 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes an angle of 40° with vertical when at rest.
What is the period of this pendulum in the small angle approximation.
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