Maxwell

Four equal charges of +3.6×10-6 C are placed on the corners of one face of a cube of edge length 8.0 cm. A charge of -3.6×10-6 C is placed at the center of the cube.

What is the magnitude of the force on the charge at the center of the cube?

A positive charge q1 = 1.03 μC is fixed at the origin, and a second charge q2 = -2.63 μC is fixed at x = 10.3 cm.

Where along the x-axis should a third charge be positioned so that it experiences no force?

A positive charge Q = 16.9 μC is on the y-axis at a distance a = 1.17 m from the origin, and another positive charge q = 0.27 μC is on the x-axis at a distance b from the origin.

For what value(s) of b is the x-component of the force on q a minimum?

For what value(s) of b is the x-component of the force on q a maximum?

A 23.1-g mass is suspended 2.87 cm above a nonconducting flat plate, directly above an embedded charge of q.

a) If the mass has the same charge, q, how much must q be so that the mass levitates (just floats, neither rising nor falling)?

b) If the charge q is produced by adding electrons to the mass, by how much will the mass be changed?

Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of -0.5092 N when separated by 50 cm, center-to-center. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.1101 N.

1. What were the initial charges on the spheres?(Two answers)

Four equal charges of +3.6×10-6 C are placed on the corners of one face of a cube of edge length 8.0 cm. A charge of -3.6×10-6 C is placed at the center of the cube.

What is the magnitude of the force on the charge at the center of the cube?

A 1.9 mF capacitor has been charged to12 V. The energy stored in the capacitor is used to light up a 0.8 KOhm lamp. Find the current flowing through the lamp 2.8 sec after the switch was turned on.

A 22 kg object is acted on by a conservative force given by F = (-3.7)x + (-5.7)x^2, with F in newtons and x in meters. Take the potential energy associated with the force to be zero when the object is at x = 0.

a) What is the potential energy of the system associated with the force when the object is at x = 2.0 m?

b)If the object has a velocity of 3.7 m/s in the negative direction of the x-axis when it is at x = 5.0 m, what is its speed when it passes through the origin?

A 45 kg trunk is pushed 5.8 m at constant speed up a 30° incline by a constant horizontal force. The coefficient of kinetic friction between the trunk and the incline is 0.20.

a) Calculate the work done by the applied horizontal force.

b) Calculate the work done by the weight of the trunk.

c) How much energy was dissipated by the frictional force acting on the trunk?