Use the inverse square law to estimate how the brightness of the Sun would change if you moved from Earth at 1 AU to Saturn's location at 10 AU (i.e., give a fraction or percentage, not magnitude). Then, the brightest known star is R136a1 with an absolute magnitude of -12.5, explain why you cannot make a precise determination of its brightness as seen from Earth without more information

A material particle with mass M moves under the gravitational effect of the earth. Solve the Hamilton-jacobi equation of the particle.

1. A 10-volt voltage source is connected in a series arrangement with two resistors (R1 = 7 ohms, R2 = 3 ohms). The current flowing in each resistor is:

a) 1.8 amperes   b) 45 amperes   c) 0.05 amperes   d) 1 ampere    e) 3.5 amperes

2. What is the voltage across R2 in the above circuit?

a) 2 volts   b) 10 volts   c) 3 volts   d)   0.25 volts   e)   5 volts

       3. If R1 and R2 are now connected in parallel, what is their effective resistance?

a) 2.1 ohms    b) 10 ohms   c) 14.8 ohms   d) 0.04 ohms    e) 4 ohms

. A 10 volt battery is connected to a RC DISCHARGE circuit made up of an unknown capacitor that is connected in parallel with a 1,000 ohm resistor. If the half life of this circuit is 10 seconds, what is the value of the unknown capacitor?

a) 0.0144 F   b) 12.28 F    c)   16.2 F   d)   0.025 F   e) 693 F

5. How long will it take this circuit to discharge from 10 volts to 1.25 volts?

a)   22 s    b) 69 s    c)   100 s    d) 30 s    e) 125 s

6. A wire carrying 10 amperes of current is oriented at 90 degrees with respect to a magnetic field of 5 Tesla. How long must the wire be to generate a force of 5 Newtons?

a) 0.1 meters   b) 15 meters   c) 2 meters   d) 7.07 meters    d) 0.005 meters

Your friend has decided to make some money during the next State Fair by inventing a game of skill. In the game, as she has developed it so far, the customer shoots a rifle at a 5.0 cm diameter target falling straight down. Anyone who hits the target in the center wins a stuffed animal. Each shot would cost 50 cents. The rifle would be mounted on a pivot 1.0 meter above the ground so that it can point in any direction at any angle. When shooting, the customer stands 100 meters from where the target would hit the ground if the bullet misses. At the instant that the bullet is fired (with a velocity of 1200 ft/sec according to the manual), the target is released from its holder 7.0 meters above the ground. (You see, the trigger is electronically connected to the release mechanism.) Your friend asks you to try out the game which she has set up on a farm outside of town. Before you fire the gun you calculate where you should aim. You may, as usual, neglect any effects of air resistance. Your conclusion? At what angle from the vertical should you aim?

Ceramics exhibit a greater range of electrical conductivity than any other class of materials. Explain why this is the case and provide some examples to illustrate this statement. Include discussion of the temperature dependence of conductivity for your examples.

Estimate the initial rotation period of the Earth if the Moon had been torn from it, as suggested by the fission theory. Compare your answer to the estimated rate of spin of the early Earth (5 hours or so). Is the fission theory a viable theory?

A rectangular coil with N turns and area A is place in a uniform magnetic field directed into y-direction. (a) What amount of emf is induced in the coil if the coil doesn’t move or rotate? . Let’s say the coil rotates about the z-axis through its center at a constant angular velocity LaTeX: \omegaω. (b) What would be total magnetic flux through the coil as a function of LaTeX: \thetaθ ? (LaTeX: \thetaθ is the angle between the directions of area A and field-B) (c) Now, what amount of emf will be induced when the coil is rotating? (d) Is the magnitude of this emf time independent? If not show quantitatively and explain how it change with time. (e) Will it have a "rms Voltage" associated with it? If so what would be its "rms Voltage"?

Question #5 A. [1 point] Is Ampere’s valid for all closed paths surrounding current carrying conductor? If not, why? B. [4 points] Two identical semicircular arcs have radii ?1 = 7.8 ?? and ?2 = 5.8 ?? carry current ? = 0.281 ? and share the same center of curvature, C. (a) What are the magnitude and direction of net magnetic field at C? (b) If the direction of the current is reversed, what effect does it have on the magnetic field?

Question #4 A. [1 point] Explain briefly the factors affecting the magnitude of the induced emf in an electricity generating station. B. [4 Points] A rectangular coil of 10 turns with dimensions 10 ?? × 8 ?? sides is held perpendicular to the uniform magnetic field, with half the area of the loop in the field, as shown the following figure. The loop contains an ideal battery with emf E = 1.5 ?. The magnitude of the magnetic field varies with time according to ? = − 4?2 + 3? + 3.0 , with B in teslas and t in seconds. (a) Calculatethemagnitudeanddirectionoftheemfinducedaroundtheloopat?=15???. (b) Find the net current with appropriate direction in the loop at ? = 15 ??? if the loop has a resistance of 2 ohm

Diamagnetic susceptibility of atoms: (a) Estimate the upper limit for the (dia) magnetic moment of an atom. Use an atom with many electrons such as Bi. From the magnetic moment, calculate the diamagnetic susceptibility and compare it to the experimental value, which is _m = 1.7x10-4 .

To better understand the polarization consider two components of the electric field:
Ex(t) = 3 Cos (w t) and Ey(t) = 4 Cos (w t-phi). Then determine the functional form of
Ey(Ex) (that is find Ey as a function of Ex at any time t) for the following phase
angles  = 0, 45, 90, -90, 180 degrees. State these functional forms (polarizations)
and sketch them in (Ex, Ey) plane being as specific as you can with maxima and
minima on the graphs.

A box is sliding on a rough surface at a constant speed. Which statement is TRUE?

1. Work done by gravity is negative

2. Friction deos not do any work

3. Work done by friction is negative

4 Work done by friction can be either positive or negative depending on direction of motion?

Another planet has the same spherical radius as Earth, but has 3 times Earth's density.

(a) What is the mass of this other planet?

(b) what is its gravitational acceleration

Description: An airplane is flying from San Francisco to Seattle which is a distance of approximately 1200 km. The cruising speed of the plane (VP ) is 400 km/hr relative to the air, and on a calm day (no wind) the pilot would fly on a path, due north, arriving in Seattle exactly 3.0 hours after leaving San Francisco(ignoring the time spent taxiing, taking off, landing etc.). However, today, the wind is blowing due east with a constant velocity (VW) of 50 km/hr relative to the ground, and the pilot has not taken this into account. Without paying attention, the pilot keeps the plane pointed due north for the entire flight.

1.) (3 points) Relative to the ground, in which direction is the plane flying (use theta for angles: θ)? Derive an algebraic solution and then give a numerical answer (three significant figures is fine) expressed in degrees relative to due north (e.g. ’45.0° west of north’).

2.) (2 pts) After flying for 3.0 hours, how far is the plane from Seattle? Again, derive an algebraic solution, then give the numerical result (3 significant figures). A smarter pilot is flying the next scheduled flight and takes note of the first pilot’s failure to deal with the winds. He takes the wind speed and direction into account so that the path of this plane relative to the ground is due north. This pilot’s plane is identical to the first in every way including the speed, and the wind has not changed in velocity or direction.

3.) (2 pts) How long, in hours, does it take the second pilot to reach Seattle? Again, give the algebraic solution first and then a numerical answer to three significant figures.

4.) (3 pts) Assume the two planes left at the same exact moment. Write an algebraic expression for the distance between two planes as a function of time (∆P(t) = … ). You may only use the variables VP , VW , θ and t as needed.

Hi I just wanted to double check to see if my answers were correct and how you approached the problem. Thanks!

Explain different ways you can arrange 4 resistors in order to get different equivalent resistance values. Mention about minimum and maximum values you can obtain.