1) Explain the difference between static charge detectors and EMF detectors

2) Show the equivalent input circuit for the FET detector and the arduino detector. Determine the current levels needed for detection (lighting the LED or showing a bar on the bargraph)

List and discuss the two major factors involved in the dispersion or broadening in the propagation of optical pulses over long distances. This should be related to fiber optic communications.

Suppose a rocket ship accelerates upwards with acceleration equal in magnitude to twice the magnitude of g (we say that the rocket ship accelerations upwards at 2g), but runs out of fuel after 100 seconds, after which point it stops accelerating upward. At this point, the rocket begins accelerating downwards with a magnitude of g. Assume that the gravitational pull of the Earth on the rocket doesn't change with altitude.

a)How high above the surface of the Earth does the rocket travel before it stops accelerating?

b) How fast is the rocket going when it stops accelerating?

c) How high does the rocket get before it begins to fall back to Earth?

d) How long after launch does the rocket strike the Earth again?

e) What is the average velocity of the rocket between when it leaves the Earth and when it strikes the Earth again?

Suppose the origin of the world coordinate system is at the pinhole. Let the z-axis be along the optical axis of the camera (perpendicular to the image plane), and the x and y axes are parallel to the image plane. Let the distance of the image plane from the pinhole be f. Now, consider a point in the scene moving with velocity (u, v, w) from the starting point (x0, y0, z0). Write the equation for the image coordinates (p, q) at time t. Show that the image point moves along a straight line as t increases.

A planar slab of thickness of 6.00 cm has a uniform volume charge density of 4.20×10-2 C/ m3. Find the magnitude of the electric field at all points in space both inside and outside the slab, in terms of x, the distance measured from the central plane of the slab. What is the field for x = 12.00 cm?

An antelope and a cheetah decide to race to a watering hole 1 km
away. The cheetah's top speed is 3x the top speed of the antelope, so the cheetah is condent
she's got the win in the bag. From the starting line, the animals accelerate uniformly to
their top speeds in 10 seconds. After 30 more seconds, the exhausted cheetah stops for a
rest. The antelope is nowhere in the cheetah's sight, so the cheetah decides to take a quick
2-minute nap. Upon waking, the cheetah again accelerates uniformly to her top speed in 10
seconds and crosses the finish line at that speed. If the antelope crosses the finish line in 3
minutes and 10 seconds, who wins the race? Draw a velocity vs time graph for the cheetah's
motion.

An object is attached to a spring; which is attached to a wall. Describe its motion. (max acceleration, max velocity).

A student holds a book at rest on the palm of his hand. he lifts the book straight up, bringing it to rest again at a high point.

PART A:

1. Is the net work done on the book positive negative or zero? Explain.

For this, I think the net work is zero because as he speeds the book up the work being done is positive, but the work is negative when he begins to slow down to rest again at high point.

2. is the change in the gravitational potential energy postive, negative or zero? explain.

For this, I think this is positive because the displacement of the book is upward.

3. Is the ttotal mechanical energy conserved? Explain.

For this, I feel like its not conserved... but don't know why.

***** for part A, if you have better explanation, please do tell me. also, Part A #3, Could someone explain to me why mechanical energy is not conserved?

PART B:

Consider the following discussion about the situation described above:

Darius: "when the book was lifted up, it gained potential energy but not kinetic energy. That means the change in total mechanical energy is positive."

Katrina: "Also, the net work on the book is zero, because the work you did on the book is cancelled by the work the earth did on the book."

Volibear: "Does this mean the law of conservation of energy is violated? There was zero net work on the book but its energy increased."

Question: Which of these ideas are solid and which ideas need to be revised? How would you help Darius, Katrina, Volibear make sense of the situation?

Please answer with clarity.

The wavelength of the four Balmer series lines for hydrogen are found to be 410.1, 434.3, 486.6, and 655.9 nm. What average percentage difference is found between these wavelength numbers and those predicted by 1 λ = R 1 nf2 − 1 ni2 ? It is amazing how well a simple formula (disconnected originally from theory) could duplicate this phenomenon.

A spaceship of triangular shape, having a length three times its width, is capable of relativistic speeds. How fast would it have to move so that to a stationary observer its length would equal its width?

a bullet of mass m and speed v is fired at an initially stationary sphere. The bullet goes through the sphere, and exits with a speed of v/3. The sphere is attached to a rigid pole of length L and negligible mass. What is the minimum value of v such that the sphere will barely swing through a complete vertical circle? (Use the following as necessary: m, L, g, and M for the mass of the sphere.)

What were the conditions necessary to advance astronomical knowledge from Copernicus to Newton? How did they develop during the seventeenth century?

There queer gangs of young Socialists, youths and girls (Nazis),.... They strike one as strange. something primitive, like loose roving gangs of broken, scattered tribes...as if everything and everybody recoiled from the old unison, as barbarians lurking in a wood recoil out of sight�

A box of textbooks of mass 25.0 kg rests on a loading ramp that makes an angle α with the horizontal. The coefficient of kinetic friction is 0.23 and the coefficient of static friction is 0.36.

A) As the angle α is increased, find the minimum angle at which the box starts to slip. Express your answer using two significant figures.

B) At this angle, find the acceleration once the box has begun to move. Express your answer using two significant figures.

C) At this angle, how fast will the box be moving after it has slid a distance 4.9 m along the loading ramp? Express your answer using two significant figures.