How is the path length difference calculated in objective question 1 of chapter 18 (Physics for Scientists and Engineers, ninth edition)? Why is it changed by 0.2 m upon sliding the tube up 0.1m?

Two 10-cm-diameter charged disks face each other, 23 cm apart. The left disk is charged to - 50 nC and the right disk is charged to + 50 nC .

A)

What is the electric field E⃗ , both magnitude and direction, at the midpoint between the two disks?

B)

C)What is the force F⃗  on a -3.0 nC charge placed at the midpoint?

A point charge q₂ = -3.9 μC is fixed at the origin of a co-ordinate system as shown. Another point charge q₁ = 4.5 μC is is initially located at point P, a distance d₁ = 8.2 cm from the origin along the x-axis

Point R located at d₂ = 3.3 cm

The charge q₂ is now replaced by two charges q₃ and q₄ which each have a magnitude of -1.95 μC, half of that of q₂. The charges are located a distance a = 2 cm from the origin

What is the potential energy of the system composed of the three charges q₁, q₃, and q₄, when q₁ is at point R? Define the potential energy to be zero at infinity.

Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of 0.154 N when their center-to-center separation is 42.2 cm. 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 0.0430 N. Of the initial charges on the spheres, with a positive net charge, what was (a) the negative charge on one of them and (b) the positive charge on the other? (Assume the negative charge has smaller magnitude.)

List engineering applications of “Scalar Fields” and “Vector Fields”.

Explain in which courses you have learned about the applications of these fields.

(What is a Tensor? and have you heard about Tensor fields?).

Explain the meaning of the term “Conservative” and its applications. What is the relation between this term and the operators Gradient and Curl?

Newton's second law states that net force is equal to mass times acceleration. Provide examples of how this law can be witnessed in everyday life and explain why this law is important in astronomy.

1. Explain one way in which the ATR spectrum of octanoic acid is different from the transmission mode spectrum.

2. How does ATR gives a more accurate result than Transmission FTIR?

3. Explain why the baseline (IR spectrum) is not 100% T for the KBr pellet and the Nujol mull spectra of benzoic acid.

What are the physics principles involved in making a pair of polarized sunglasses?

An electric vehicle starts from rest and accelerates at a rate of 2.1 m/s2 in a straight line until it reaches a speed of 17 m/s. The vehicle then slows at a constant rate of 1.1 m/s2 until it stops. (a) How much time elapses from start to stop? (b) How far does the vehicle move from start to stop? solve both a b show units

A rocket is launched at an angle of 53.0° above the horizontal with an initial speed of 103 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 28.0 m/s². At this time, its engines fail and the rocket proceeds to move as a projectile.

(a) Find the maximum altitude reached by the rocket. (m)

(b) Find its total time of flight. (s)

(c) Find its horizontal range. (m)

5. (IB) An ideal gas at an initial pressure of 4.0 × 105 Pa is expanded isothermally from a volume of 3.0 m3 to a volume of 5.0 m3.
a) Calculate the final pressure of the gas.
b) On graph paper, sketch a graph to show the variation with volume V of the pressure p during this expansion. c) Use the sketch graph in (b) to:
(i) estimate the work done by the gas during this process
(ii) explain why less work would be done if the gas were to expand adiabatically from the same initial state to the same final volume.

(a) Have you ever visited an amusement park and taken a ride on a parachute drop ride? These types of rides take the passengers to a great height, and then drop them in free fall. Before they hit the ground, the ride is slowed using a Lenz’s law mechanism thus avoiding certain death. For this discussion, first locate a photo of one of these rides (either one you’ve personally experienced or one you might like to try someday), and in your initial post, upload the photo and respond to the following:

• Explain how Lenz’s law applies to this situation.
• Why is the Lenz’s law mechanism ideal for such a use?
• What other mechanisms can be used to slow the descent? Compare and contrast these options with the Lenz’s law mechanism.

(b) As you have learned, an electromagnet is a magnet that is produced by electric current. Think about how electromagnets are used and what you have seen or heard of them being used for. In your initial discussion post, respond to the following:

• Which of the principles or laws discussed in this module explain how an electromagnet works?
• Describe in detail two modern applications of electromagnets. Do these electromagnets draw a large amount of current or a little? How do you know? What supplies that current?
• Why do you think electromagnets are used in these different ways?
• What is the advantage of using an electromagnet rather than a permanent magnet?

(i)How much negative charge and how much positive charge are there on the electrons and the protons in a cup of water (0.25 kg)? Note Avogadro’s number is NA = 6.022 × 1023, and each oxygen atom has 8 electrons. (ii) What is the magnitude of the attractive force exerted by the electrons in a cup of water on the protons in a second cup of water at a distance of 10 m?

Given an infinite sheet of charge occupying the x-y plane such that the charge density is constant and uniform, find the electric field at any point on the z-axis by:

A) Using the point charge formula for the electric field directly in cartesian coordinates.

B) Using the point charge formula for the electric field directly in cylindrical coordinates.

C) Using the point charge formula for potential in cylindrical coordinates and taking the gradient.

DO NOT USE GAUSS'S LAW