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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.
Alex and Bob are twins working on a space station located at a fixed position in deep space. Alex undertakes an extended return spaceflight to a distant star, while Bob stays on the station.
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 .
The hot-air balloon shown below is tethered with three mooring Cables. The force Tb in cable DB has a magnitude of 2230 N.Determine the magnitude of the rectangular component of the force Tb along DA.
A reversible heat pump is used to maintain a temperature of 0c in a refrigerator when it rejects the heat to the surroundings at 25c. If the heat removal rate from the refrigerator is 1440 kj/min, d
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?
Determine the work and heat transfer, each in kl/kg of air flowing. repeat for (b) an isothermal compression and (c) an isentropic compression.
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
An electron with speed v0 = 15.0 × 106 m/s is traveling parallel to a uniform electric field of magnitude E = 10.4 × 103 N/C.How much time will elapse before it returns to its starting poi
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
Calculate the electric field at one corner of a square 1.00 m on a side if the other three corners are occupied by 2.15 × 10-6 C charges??
A particle falling under gravity is subject to a retarding force proportinal to it's velocity. Find it's position as a function of time, if it starts from rest, and show that it will eventuall reach
A particle of mass m moves ( in the region X>0) under a force F = -kx+c/x, where k and c are positive constants. Find the corresponding potential energy function. Determine the position of equil
What is its angular velocity when it reaches the vertical? 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