To explore the physics of freefall, a curious student climbs to the top of the Las Vegas-version of the Leaning Tower of Pisa (to be built in the style of the Las Vegas-version of the Eiffel Tower, the Statue of Liberty, …) with two identical cannonballs and conducts a series of experiments. Part A) The student drops one cannonball, and exactly 1.0 s later drops the other cannonball from the same height. What is the time interval between the first cannonball striking the ground and the second cannonball striking the ground? Part B) The student drops one cannonball, and after it has fallen exactly 1.0 m drops the other cannonball from the same initial height. What is the distance between the cannonballs when the first cannonball strikes the ground? Part C) The student throws one cannonball directly upward at 5.0 m/s and simultaneously throws the other cannonball directly downward at 5.0 m/s. (This requires great dexterity, but the student has been practicing this maneuver for several months.) What is the difference in speed between the cannonballs when each ball strikes the ground?

Answer Choices: Less than 1.0 m 1.0 m Greater than 1.0 m Cannot be determined

how do you chose the energy range of radiating particles/phonons to study the structure of a lattice?

show how to solve the integral of density of state from 0 to debye frequency and explain the solution

Make a side by side comparison for the electric potential and the vector potential. Compare them according to: a) Redundancies in their definitions

b) How they can be found from the sources c) How they can be used, if known, to find the magnetic and electric fields d) The matching/interface conditions they satisfy

In 1-D, the finite square well always has at least one bound state, no matter how shallow the well is. In 3-D, a finite-depth well doesn't always have a bound state.find bound states

A 0.70-m aluminum bar is held with its length parallel to the east-west direction and dropped from a bridge. Just before the bar hits the river below, its speed is 29 m/s, and the emf induced across its length is 7.0 x 10^-4 V. Assuming the horizontal component of the Earth's magnetic field at the location of the bar points directly north, (a) determine the magnitude of the horizontal component of the Earth's magnetic field, and (b) state whether the east end or the west end of the bar is positive.

Discuss the relationship between storage modulus, yield stress and cohesive energy density? What can you predict about the stability of emulsion with respect to cohesive energy density? (Answer should be few sentences or short paragraph long)

Q1.An n-type silicon wafer undergoes a pre-deposition diffusion process with a constant surface concentration of boride gas; the resulting concentration of boron in silicon at the surface is estimated to be 1x10^18 atoms cm-3 . The background concentration of trace boron atoms in the silicon wafer is estimated to be 1x10^14 cm-3 .(A) Estimate the depth of the p-n junction below the surface when the background doping concentration of the n-type impurity is 3.45 x10^16 cm-3 ; assume the diffusion process proceeds for 10 minutes and has a diffusion parameter given by 10-12 cm2 s -1 .

(B) Estimate the number of boron atoms (per cm2 ) introduced in this thin surface layer following the predeposition step.

Consider 10 moles of an ideal polyatomic gas in a container with a frictionless piston. The initial pressure is 105 kPascals and initial volume is .3 m³.   The gas is isobarically compressed to .1 m³. Determine the resulting change in entropy of the environment. (assume the temperature of the environment is a constant 28 Celsius)

Group of answer choices

a) +453.6 J/K

b) +426.4 J/K

c) +313.8 J/K

d) +349.2 J/K

e) +376.4 J/K

Liquid 1: Water (density: 1g/cm³)

Water displaced = 156 mL

mass of object was found to be 156 g

Liquid 2: Saltwater (density: 1.02 g/cm³)

water displaced: 158.4 mL

Mass of object was found to be 161.568 g

Use what you know about Archimedes’ Principle: specifically the equations  and , where the wsubscript refers to the liquid the object floats on and the o subscript refers to the object itself. Derive a formula that relates the densities of the object and the fluid it floats on, as well as the depth that the object submerges in water relative to its height. That is, find how the ratios of the object’s and water’s densities are relate to how much of the object is submerged in the water. Since the object floats, we will know that the whole object cannot be submerged underwater. Write out the formula below and find the density of the object.

30 grams of ice at -5 Celsius melt while being left at room temperature of 28 Celsius.  After melting its temperature rises to 28 Celsius.  Determine the total change of entropy of the ice.

[C_ice = .5 cal/g.C, L_f = 79.6 cal/gram] 1 calorie = 4.184 J

Group of answer choices

a) 53.11 J/K

b) 34.68 J/K

c) 38.27 J/K

d) 44.22 J/K

e) 49.97 J/K

Part 1:

Below are basic arguments in English. Choose one argument and translate the argument into the symbolism of predicate logic. Use one of the proof techniques from Chapter 8 to demonstrate the validity of the argument.

1. Every fetus has an immortal soul. A thing has an immortal soul only if it has a right to life. Hence, every fetus has a right to life. (Fx = x is a fetus, Sx = x has an immortal soul, Rx = x has a right to life).

2. Some wars are just. No war of aggression is just. Therefore, there are wars that are not wars of aggression. (Wx = x is a war, Jx = x is just, Ax = x is a war of aggression).

3. At least one instance of intentional killing is not wrong. But every murder is wrong. Hence, some instances of intentional killing are not murder. (Kx = x is an instance of intentional killing, Wx = x is wrong, Mx = x is murder)

4. Only things that have human bodies are human. No soul has a human body. Only souls survive the death of the body. Therefore, no humans survive the death of the body. (Bx = x has a human body, Hx = x is human, Sx = x is a soul, Dx = x survives the death of the body)

Part 2:

Now, construct an alternate proof. In other words, if the proof was done using RAA, now use CP; if you used CP, now use RAA. Consider the following questions, as well, in your journal response: • Will a direct proof work for any of these? • Can the proof be performed more efficiently by using different equivalence rules?

The interaction of one photon with another can be understood
by assuming that each photon can temporarily become a “virtual”
electron-positron pair in free space, and the respective
pairs can then interact electromagnetically. (a) How long does
the uncertainty principle allow a virtual electron-positron pair
to exist if h 2mc2, where m is the electron mass? (b) If
h    2mc2, can you use the notion of virtual electron-positron
pairs to explain the role of a nucleus in the production of an
actual pair, apart from its function in ensuring the conservation
of both energy and momentum?

Ferrari LaFerrari can speed up from rest to 60 mph in 2.4 seconds. What average force is required to accelerate the vehicle if it's total weight is 3479 lb? Submit you answer in pounds.

The average force, f =  .

What distance does the car travel during the acceleration period?

The traveled distance, d =

A proton with initial kinetic energy 50.0 eV encounters a barrier of height 70.0 eV. What is the width of the barrier if the probability of tunneling is How does this compare with the barrier width for an electron with the same energy tunneling through a barrier of the same height with the same probability ?