using maxwell eqs show that you can get snells law

A powerful 0.54-W laser emitting 670-nm photons shines on a black sail of a tiny 0.10-g cart that can coast on a frictionless track.

Part A

Determine the force of the light on the sail. Assume that the light is totally absorbed by the sail.

Express your answer to two significant figures and include the appropriate units.

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Part B

What time interval is needed for the cart's speed to increase from zero to 2.0 m/s?

Express your answer using two significant figures.

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Compact fluorescent bulbs are much more efficient at producing light than are ordinary incandescent bulbs. They initially cost much more, but last far longer and use much less electricity. According to one study of these bulbs, a compact bulb that produces as much light as a 100 Wincandescent bulb uses only 23.0 W of power. The compact bulb lasts 1.00×10⁴ hours, on the average, and costs $ 12.0 , whereas the incandescent bulb costs only 76.0 ¢, but lasts just 750 hours. The study assumed that electricity cost 9.00 ¢ per kWh and that the bulbs were on for 4.0 h per day.

(A) What is the total cost (including the price of the bulbs) to run incandescent bulbs for 3.0 years?

(B) What is the total cost (including the price of the bulbs) to run compact fluorescent bulbs for 3.0 years?

(C) How much do you save over 3.0 years if you use a compact fluorescent bulb instead of an incandescent bulb?

(D) What is the resistance of a "100 W" fluorescent bulb? (Remember, it actually uses only 23 W of power and operates across 120 V.)

1. Mathematically explain in Detail how Newton's cradles work. Be able to use your understanding of how Newton's cradles work to create a physics equation/formula that can be used in any situation.

Problem 25.57

On your first day at work as an electrical technician, you are asked to determine the resistance per meter of a long piece of wire. The company you work for is poorly equipped. You find a battery, a voltmeter, and an ammeter, but no meter for directly measuring resistance (an ohmmeter). You put the leads from the voltmeter across the terminals of the battery, and the meter reads 12.0 V . You cut off a 20.0-m length of wire and connect it to the battery, with an ammeter in series with it to measure the current in the wire. The ammeter reads 7.00 A . You then cut off a 40.0-m length of wire and connect it to the battery, again with the ammeter in series to measure the current. The ammeter reads 4.50 A . Even though the equipment you have available to you is limited, your boss assures you of its high quality: The ammeter has very small resistance, and the voltmeter has very large resistance.

What is the resistance of 1 meter of wire?in ohm

Which coil, primary or secondary, has more windings in a step-up transformer? Explain. [A step up transformer has a higher voltage output from the secondary coil than is input to the primary coil.]

A 22.3 kg child rides a 0.800 kg potato sack down a 4.40 m high slide. If the child starts from rest and has a speed of 2.50 m/s at the bottom of the slide, what is the change in thermal energy of the child on their potato sack and the slide?

a) 1.07×10³ J

b) 996 J

c) 72.2 J

d) 924 J

Hi I am confused a little about equations for constructive and destructive interference and also about the difference in equations for diffraction and interference and also what equations we use for young's single slit experiment and double slit experiment.Can you please explain the difference??

A particle is uncharged and is thrown vertically upward from ground level with a speed of 23.1 m/s. As a result, it attains a maximum height h. The particle is then given a positive charge +q and reaches the same maximum height h when thrown vertically upward with a speed of 27.3 m/s. The electric potential at the height h exceeds the electric potential at ground level. Finally, the particle is given a negative charge −q. Ignoring air resistance, determine the speed with which the negatively charged particle must be thrown vertically upward, so that it attains exactly the maximum height h. In all three situations, be sure to include the effect of gravity.
m/s

Two point charges, +3.06 µC and -6.20 µC, are separated by 1.10 m. What is the electric potential midway between them?
V

Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.65 ✕ 105 Pa and the pipe radius is 2.70 cm. At the higher point located at y = 2.50 m, the pressure is 1.30 ✕ 105 Pa and the pipe radius is 1.40 cm. (a) Find the speed of flow in the lower section. (b) Find the speed of flow in the upper section. (c) Find the volume flow rate through the pipe.

The current of a beam of electrons, each with a speed of 908 m/s, is 7.15 mA. At one point along its path, the beam encounters a potential step of height -1.28 μV. What is the current on the other side of the step boundary?

Part A) A bright object and a viewing screen are separated by a distance of 81.5 cm . At what distance(s) from the object should a lens of focal length 17.0 cm be placed between the object and the screen in order to produce a crisp image on the screen? d=____? cm

Part B) An object is placed 18 cm from a certain mirror. The image is half the size of the object, inverted, and real. What is the radius of curvature of the mirror? Follow the sign conventions.

Suppose we have a piece of metal sheet of length l = 5.8 cm, and width w = 10.2 cm to make a capacitor.

(a) If we cut it in two equal halves and make it into a parallel capacitor with plate separation d = 0.4 cm, find the capacitance in pF.
=____ pF

(b) If we cut it into two sections with widths 2?a and 2?b instead (a < b), and roll them up to form a cylindrical capacitor with two shells separated by the same distance d radially, find a and b (in cm).
a =___ cm

A disk rolls up an inclined plane, reaches point A, stops there momentarily, and then rolls down the inclined plane. Use the x-y coordinate system to determine the direction of the angular velocity and the angular acceleration in each part of the motion as given below. If either one is zero, say so. (a) when the disk is going up the incline. (i) angular velocity? (ii) angular acceleration? (b) at point at the top of the incline (point A) when the disk stops momentarily. (i) angular velocity? (ii) angular acceleration? (c) when the disk is rolling down the incline. (i) angular velocity? (ii) angular acceleration? (*Options: +x, -x, +y, -y, +z, -z, and 0)