In an EM wave traveling west, the B field oscillates up and down vertically and has a frequency of 91.0 kHz and an rms strength of 7.15×10−9T. Assume that the wave travels in free space.

Part A: What is the frequency of the electric field? Express your answer to three significant figures and include the appropriate units.

Part B: What is the rms strength of the electric field? Express your answer to three significant figures and include the appropriate units.

Part C: What is the direction of its oscillation?

To prevent dust and soot particles from polluting the atmosphere, industry often employs static electric charges in their smokestacks.

Explain the physics principle involved in this application.

2) The Plank radiation law is

I(lambda) = 2 pi h c²/[lambda⁵ (e ^{hc/labda kT} -1)]

take the derivative of this expression with respect to lambda to show

lambda_max = hc/(4.965kT).

You may uses 5 - x = 5 e^-x is true for x = 4.965.

The charge at a point in space is q (t) = 0.5 cos (6t) C. What is the current at t = −2 s? At an arbitrary time t?

A -10.0 nC point charge and a +20.0 nC point charge are 15.0 cm apart on the x-axis.

Part A)

What is the electric potential at the point on the x-axis where the electric field is zero? Answer in V

Part B)

What is the magnitude of the electric field at the point on the x-axis, between the charges, where the electric potential is zero? Answer in N/C

An object with total mass m_total = 14.6 kg is sitting at rest when it explodes into three pieces. One piece with mass m₁ = 4.7 kg moves up and to the left at an angle of θ₁ = 20° above the –x axis with a speed of v₁ = 26.8 m/s. A second piece with mass m₂ = 5.1 kg moves down and to the right an angle of θ₂ = 25° to the right of the -y axis at a speed of v₂ = 23.5 m/s.

What is the x-component of the velocity of the third piece?

What is the y-component of the velocity of the third piece?

What is the magnitude of the velocity of the center of mass of the pieces after the collision?

Calculate the increase in kinetic energy of the pieces during the explosion.

1. Derive PV^Gamma = constant

2. All adiabatic relations

An 8000 kg truck traveling with a velocity of 20. 0 m/s in a direction 30 ° south of east and a 6250 kg car traveling with a velocity of 25. 0 m/s 40 ° north of east collide in a perfectly inelastic collision. Find (a) the final speed and (b) the direction of the combined mass. Also, calculate (c) the change in the kinetic energy of the system.

1. Determine the variance in position and momentum, Δx²=<x²>−<x>² and Δp²=<p²>−<p>² for the ground-state SHO and show that they satisfy the Heisenberg uncertainty relation, (Δx)(Δp)≥ℏ2

Two cars are approaching each other, one traveling north with a momentum of 3 kg-m/s and one traveling east with a momentum of 4 kg-m/s. The two cars collide and stick together. Right after the collision (choose all that apply)

1. the eastern component of the momentum of the two cars is 4 kg-m/s.

2. the northern component of the momentum of the two cars is 3 kg-m/s.

3. the total momentum of the two cars is 7 kg-m/s

A symmetrical table of height 0.750 m, length 1.55 m, and weight 462 N is dragged across the floor by a force applied to its front edge. The force is directed to the right and upward and makes an angle of 30.0° with the horizontal.

(a) Find the minimum force necessary to drag the table across the floor. The coefficient of sliding friction between table and floor is 0.375. 164.45 N
  

(b) Calculate the normal force and the frictional force on each leg.

The formula for length contraction gives the length of an interval on a ruler moving with velocity v relative to an observer as where L is the length of the same interval on a ruler at rest with respect to the observer. By what fraction is the length of a meter stick reduced if its velocity relative to you is measured to be 87 percent of the speed of light?

Sound with a frequency 710 Hz from a distant source passes through a doorway 1.17 m wide in a sound-absorbing wall.

(a) Find the number of the diffraction minima at listening positions along a line parallel to the wall.


(b) Find the angular directions of the diffraction minima at listening positions along a line parallel to the wall. (Enter your answers from smallest to largest starting with the first answer blank. Enter NONE in any remaining answer blanks.)

A 10 g bullet traveling at 350 m/s strikes a 9.0 kg , 1.2-m-wide door at the edge opposite the hinge. The bullet embeds itself in the door, causing the door to swing open. What is the angular velocity of the door just after impact?