Imagine a universe that has a permitivity of ε = 3εo. Within this infinite space, you find a spherical distribution of charge of radius a that has a volumetric charge density of ρv = ( a r ) Cm−3 . a. Determine the expressions for the electric field inside and outside this spherical region. b. Determine an equation that represents the energy required to put together this distribution of charge. c. If a = 2 m, what is this energy equal to in Joules?

A solid, uniform disk of radius 0.250 m and mass 53.2 kg rolls down a ramp of length 4.70 m that makes an angle of 12.0° with the horizontal. The disk starts from rest from the top of the ramp.

(a) Find the speed of the disk's center of mass when it reaches the bottom of the ramp. m/s

(b) Find the angular speed of the disk at the bottom of the ramp. rad/s

One of the largest contributions to modern electronics came from a man named Nikola Tesla. Briefly research Nikola Tesla's origins and his scientific discoveries and present your results in point form.

explain electric charge and electric field. Also give examples.

please not by hand

an object 3.0cm high object is place 4.0cm in front of a converging lens with a focal length of 8.0cm. the object is located on the principal axis.

part 1. the image that will be formed will be . real, virtual or neither?

part 2. the image will be loacted on the same side of the lens at a distance of __ from the lens?

part 3. the magnification of the image will be ?

part 4. the size of the image (in cm) will be ?

Question 56)

PART 1)

In the figure an electron is shot at an initial speed of v0 = 4.62 × 106 m/s, at angle θ0 = 40.9 ˚ from an x axis. It moves through a uniform electric field = (5.40 N/C). A screen for detecting electrons is positioned parallel to the y axis, at distance x = 1.84 m. What is the y component of the electron's velocity (sign included) when the electron hits the screen?

PART 2)

In the figure a nonconducting rod of length L = 8.34 cm has charge -q = -4.42 fC uniformly distributed along its length. (a) What is the linear charge density of the rod? What are the (b) magnitude and (c) direction (positive angle relative to the positive direction of the x axis) of the electric field produced at point P, at distance a = 13.7 cm from the rod? What is the electric field magnitude produced at distance a = 63 m by (d) the rod and (e) a particle of charge -q = -4.42 fC that replaces the rod?

You will get a positive vote for answering both parts of this problem correctly! I really need help!

In terms of λ, f, μ, and T what times the square root of the tension is equal to the wavelength?

Please show work, thanks.

In Figure 9-69, block 1 of mass m1 slides from rest along a frictionless ramp from height h and then collides with stationary block 2, which has mass m2 = 3m1. After the collision, block 2 slides into a region where the coefficient of kinetic friction is μk and comes to a stop in distance d within that region. What is the value of distance d if the collision is (a) elastic and (b) completely inelastic? Express your answer in terms of the variables given and g.

A bumper car with mass m1 = 106.0 kg is moving to the right with a velocity of v1 = 4.5 m/s. A second bumper car with mass m2 = 98.0 kg is moving to the left with a velocity of v2 = 3.1 m/s. The two cars have a completely elsatic collision. Assume the surface is frictionless.

1. What is the initial velocity of car 1 in the center of mass reference frame?

2. What is the final velocity of car 1 in the center of mass reference frame?

3. What is the final velocity of car 1 in the ground (original) reference frame?

4. What is the final velocity of car 2 in the ground (original) reference frame?

An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.260 rev/s . The magnitude of the angular acceleration is 0.881 rev/s2 . Both the the angular velocity and angular accleration are directed clockwise. The electric ceiling fan blades form a circle of diameter 0.750 m .

What is the tangential speed vtan(t) of a point on the tip of the blade at time t = 0.203 s ?

What is the magnitude a of the resultant acceleration of a point on the tip of the blade at time t = 0.203 s ?

explain electric charge and electric field. Also give examples.

Consider three identical metal spheres, A, B, and C. Sphere A carries a charge of +3q. Sphere B carries a charge of -q. Sphere C carries no net charge. Spheres A and B are touched together and then separated. Sphere C is then touched to sphere A and separated from it. Lastly, sphere C is touched to sphere B and separated from it. (a) What is the ratio of the final charge on sphere C to q? What is the ratio of the final total charge on the three spheres to q (b) before they are allowed to touch each other and (c) after they have touched?

The masses and coordinates of three spheres are as follows: 22 kg, x = 1.25 m, y = 2.25 m; 34 kg, x = -1.00 m, y = -3.25 m; 56 kg, x = 0.00 m, y= -0.75 m. What is the magnitude of the gravitational force on a 16 kg sphere located at the origin due to the other spheres?

Ball 1, with a mass of 110g and traveling at 10m/s, collides head on with ball 2, which has a mass of 340g and is initially at rest. What are the final velocities of each ball if the collision is perfectly elastic? What are the final velocities of each ball if the collision is perfectly inelastic?