A 150 kg block is pulled at a constant speed of 6.0 m/s across a horizontal floor by an applied force of 114 N directed 39∘ above the horizontal. What is the rate at which the force does work on the block? Number Units
A 200 -pound crate is connected to a rotating telescopic pole. Initially, the crate moves in a horizontal circle at a speed of 30 ft/s with a radius of 18 ft. If the pole retracts at a rate of 2 ft/s, find the speed of the crate when the pole has a radius of 12 ft. Also, calculate the work done by the axial force F along the pole. Neglect the dimensions of the crate and the mass of the pole.
The figure shows a parallel-plate capacitor of plate area A = 11.5 cm2 and plate separation 2d = 7.48 mm. The left half of the gap is filled with material of dielectric constant κ1 = 23.5; the top of the right half is filled with material of dielectric constant κ2 = 45.1; the bottom of the right half is filled with material of dielectric constant κ3 = 58.5. What is the capacitance?
The figure shows a parallel-plate capacitor with a plate'area A = 2.82 cm2 and plate separation d = 7.84 mm. The left half of the gap is filled with material of dielectric constant. k1 = 8.20; the right half is filled with material of dielectric constant K2 = 10.0. What is the capacitance? Number Units the tolerance is +/−2%
An electron is a subatomic particle (m = 9.11×10−31 kg) that is subject to electric forces. An electron moving in the +x direction accelerates from an initial velocity of +8.49×105 m/s to a final velocity of 1.55×106 m/s while traveling a distance of 0.0216 m. The electron's acceleration is due to two electric forces parallel to the x axis: F1→ = 8.08×10−17 N, and F2→, which points in the −x direction. Find the magnitudes of (a) the net force acting on the electron and (b) the electric force F2→. (a) Number Units (b) Number Units
A 0.200 kg block with a charge of 30.0 μC is pressed against a spring that is displaced 25.0 cm. The spring as a spring constant of 150 N/m. The block is released from rest and slides up a frictionless incline into an electric field of 50, 000 N/C pointed down the incline. Use Conservation of Energy. a. Setup the Energies for the block and spring. b. Solve for the distance traveled by the block up the incline. (ans: 1.89 m)
A proton enters the uniform electric field produced by the two charged plates shown below. The magnitude of the electric field is 5.5×105 N/C, and the speed of the proton when it enters is 1.9×107 m/s. What distance d (in m) has the proton been deflected downward when it leaves the plates? m
The circuit in the figure below contains two resistors, R1 = 2.4 kΩ and R2 = 2.8 kΩ, and two capacitors, C1 = 1.5 μF and C2 = 2.5 μF, connected to a battery with emf E = 130 V. If there are no charges on the capacitors before switch S is closed, determine the charges q1 and q2 on capacitors C1 and C2, respectively, as functions of time, after the switch is closed. Hint: First reconstruct the circuit so that it becomes a simple RC circuit containing a single resistor and single capacitor in series, connected to the battery, and then determine the total charged q stored in the circuit. (Use the given values for R1, R2, C1, C2, and E. Use the following as necessary: t. Do not include any units in your response.) q1 = μC q2 = μC
A 64.4 lb package is at rest on the horizontal surface when a constant force F~ of 50 lb is applied to it as shown. The coefficient of kinetic friction between the package and the surface is 0.4. Determine the distance that the package has traveled when it reaches a velocity of 10 ft/s.