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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 1300 {rm kg} car rolling on a horizontal surface has speed v = 64 km/h when it strikes a horizontal coiled spring and is brought to rest in the distance of 2.80 m.
A 3.50 x 10^2 N child is in a swing that is attached to ropes 1.75 m long. find the gravitational potential energy associated with the child relative to her lowest postion. What is the net charge inside the die.
protons are projected with an initial velocity v0 = 10410m/s into a region where a uniform electric field E = 710 N/C is present. The protons are to hit the target that lies a horizontal distance of 1.27mm from the point where protons are launched..
You are driving to the grocery store at 24 m/s. You are 115 m from an intersection when the traffic light turns red. Suppose that your reaction time is 0.50 s and that your car brakes with constant acceleration. How far are you from the intersecti..
What angle did the hawk make with the horizontal throughout its descent? For how long did the mouse enjoy the free fall.
What is an initial and final energy of the system energy? It takes .005 seconds for the bullet to embed itself into the block. What is an average impact force it experience.
A racing car travels with a constant tangential speed of 75 m/s around a circular track with a radius 625 m. Find (a) the magnitude of the car's total acceleration and (b) the direction of its total acceleration relative to the radial direction.
A robot probe drops a camera off the rim of the 389 m high cliff on Mars, where the free fall acceleration is 3.7 m/s^2. Find out velocity with which it hits the ground and the time required for it to reach the ground.
A race car has a mass of 703 kg. It starts from rest and travels 40.0 m in 3.0 s. The car is uniformly accelerated throughout the entire time. What net force is exerted on it.
Describe an experiment to measure the molecular weight Mw and the second viral coefficient B of a macromolecules in solution using osmotic pressur. Show how you would plot the experimental data.
Find the differential equation and use the initial conditions to determine the constant of integration.
A plate carries a charge of -4 ?C, while a rod carries a charge of 2.50 ?C. How many electrons must be transferred from the plate to the rod, so that both objects have the same charge?
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