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Find the index of refraction of the air just above the road surface. (Treat this as a problem in total internal reflection. Give your answer to 5 decimal places.)
Find the location of the place(s) along the x axis where the electric field due to these two charges is zero. (Enter the locations in order from -x to +x. If there is only one location, enter 0 in t
A dipole consists of charges +e and -e separated by 0.61 nm. It is in an electric field E = 2.9 × 104 N/C. (a) What is the value of the dipole moment?
Calculate the magnitude of the electric field inside the solid at a distance of 9.50 cm from the center of the cavity.
With the capacitor added, if the Load voltage needs to be 277 V find the voltage and complex power needed at the source. Compare your answers for source voltage, source current, and line loss with t
Alex undertakes an extended return spaceflight to a distant star, while Bob stays on the station. Show that, on his return to the station, the proper time interval experienced by Alex must be less t
An inertial frame S' is related to S by a boost of speed u in the positive x-direction. Similarly, S" is related to S' by a boost of speed v in the y'-direction. Find the transformation relating th
Mary is in a train traveling at 30m/s. Fred is standing next to the train tracks. The train passes Fred at 30m/s. 2m after the train passes, Fred throws a ball to Mary at 35m/s . How far apart are the
If the required input to run the pump is developed by a reversible engine which receives heat at 380c and rejects heat to atmosphere, then determine the overall C.O.P. of the system.
A carnot cycle operates between source and sink temperatures of 250c and -15C. If the system receives 90 kj from the source, find:
What is the highest possible theoretical effeciency of a heat engine operating with a hot reseroir of furnace gases at 2100c when the cooling water available is at 15c?
A compressor operates at steady state with air entering at 1 bar, 20 deg celsius and exiting at 5 bar. (a) if the air undergoes a polytropic with n = 1.3, determine the work and heat transfer, each
A sperical conductor has a total charge +Q, and radius R. 1) what is the shape of equipotential surfaces outside the conductor? 2) What is the shape of the equipotential surfaces inside the conducto
Which of the following are true about vector components for vectors in two dimensions. (Choose all that apply)
Calculate the electric field at the center of a square 53.0 cm on a side, if one corner is occupied by a +48.0 µC charge and the other three are occupied by -22.0 µC charges. (Assume the
A charge of 8.00 mC is placed at each corner of a square 1.20 m on a side. Determine the magnitude and direction of the force on each charge.
A particle of mass m moves under a force F =-cx^3, where c is a positive constant. Find the potential energy function. If the particle starts from rest at x =-a, what is its velocity when it reaches
Consider a circuit consisting of a battery of voltage V and a parallel plate capacitor of capacitance of C0. If a dielectric slab with dielectric constant k is inserted, what is the energy delivere
When it first returns to its starting point, it is given an impulsive blow towards the vertical that increases the amplitude of swing to 10 degrees. Find its subsequent angular position as a functio
When a mass is suspended from a spring, the equilibrium length is increaseb by 50 mm. The mass is then given a blow which starts it vertically at 200mms^-1. Find the period and amplitude of the resu
The space shuttle completes one orbit around the earth in 90 minutes. Calculate the orbital speed of the space shuttle in meters per second?
An accelerator increases the total energy of electrons uniformly to 10 GeV over a 3000 m path. That means that at 30 m. 300 m, and 3000 m, the kinetic energy is 108. 109. and 1010 eV, respectively.
Find the transformation matrix R that describes a rotation of 90 degrees about an axis from the origin through the point (1,1,0). The rotation is clockwise as you look down the axis toward the origi
A single phase, 60 Hz, source supplies a 90 KVA , 0.8 power factor lagging load through a transmission line with impedance 0 .02+j0.05 ohm.
Determine the value in Farads and the VAR rating of a 277 V capacitor which, when connected in parallel with the load, will correct the power facto to 0.98 lagging.