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1. A closed Gaussian cylinder sits centered around the z-axis and above the xy-plane with a length of A and a radius of R. The electric field is given by E = (2r)cosθr + cosθθ+ (2z-3) z.
What is the net charge contained in the cylinder?
Consider two identical 25-micro-coulomb point charges, each of 18 mg mass. Let them initially be at rest, 80 cm apart. How fast (in m/s) will each charge be moving when the charges are very far apart
Find out parametric equations for the shell's trajectory relative to the coordinate system. What is the maximum distance at which these headlights could be resolved as separate points of light on a photograph taken with a camera whose aperture has a ..
A crate whose mass m is 360 kg on the bed of a truck that is moving at 120km/h. What force (assumed constant) acts on the crate during this time
A person who weighs 680 N is riding a 98-N mountain bike. Suppose the entire weight of the rider and bike is supported equally by the two tires. If the gauge pressure in each tire is 6.45 105 Pa, what is the area of contact between each tire and the ..
A modern microscope is equipped with a turret that has three objectives with focal lengths of 16 mm, 4.0 mm, and 1.6 mm, What are the greatest and least magnifications possible
A toy cannon uses a spring to project a 5.30 g soft rubber ball. The spring is originally compressed by 5.00 cm, At what point does the ball have maximum speed
Consider an XY coordinate plane. Wire A is placed along the y-axis at x=0 and wire B is placed parallel to wire A at x= 0.240 m, Find the magnitude of the magnetic field at x=0.380 m
A particle of mass m is attracted to a force center with force of magnitude k/r2. Use plane ploar coordinates and find Hamilton's equations of motion.
Calculate approximately E at a distance of 40 m (large relative to the plate size) by assuming that the plate is a point charge.
Kinetic friction is a constant-value force, while static friction changed in response to other forces, up to some maximum, What if static friction behaved more like kinetic friction, with same constant value
a 6.0 cm diameter horizontal pipe gradually narrows to 4.5 cm. When water flows through the pipe at a certain rate, What is the volume rate of flow
A hot-air balloon is accelerating upward under the influence of two forces, its weight and the buoyant force. What is the acceleration of the rising balloon
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