a. Represent atoms by small circles that can be charged, neutral, or have a permanent dipole moment represented by an arrow within the circle. Show in a sketch how two such atoms interact in the following cases (show the direction of the force and/or torque on each atom): (i) one charged and one neutral atom; (ii) one charged and one polar molecule; (iii) and both dipolar molecules with parallel dipoles.

b. For a parallel plate capacitor, how does the capacitance change if (i) the plate areas are doubled, (ii) the voltage across the capacitor is halved, (iii) the plate separation is halved, (iv) the material between the plates is changed to one with twice the dielectric constant, (v) the charge on the capacitor is doubled?

The length of nylon rope from which a mountain climber is suspended has a force constant of 1.1 × 10^4 N/m.

Part (a) What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is 86 kg?

Part (b) How much would this rope stretch, in centimeters, to break the climber's fall if he free-falls 1.6 m before the rope starts to stretch?

Part (c) What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is 86 kg if the rope is twice as long?

Part (d) How much would this rope stretch, in centimeters, to break the climber's fall if he free-falls 1.6 m before the rope runs out of slack if the rope was twice the length?

A 58 kg skier is skiing down a 25 degree hill which offers negligible friction. Near the top of the hill (x =0), her speed is relatively small and equal to 3.6 m/s, but 57 m further downhill (x>0), her speed has grown to 18.59 m/s. Draw a Free body diagram. (thank you)

a) Argue, based on some energy calculations of course, that there must be significant air resistance.

b) The air resistance is a variable force and changes quadratically with the distance according to fair(x) = Bx2 (the x-axis points downward along the incline). From this information and the knowledge of initial and final speeds, calculate the value of B.

Part A

How fast must an object travel for its total energy to be 6 %% more than its rest energy?

Express your answer using two significant figures.

Part B

How fast must an object travel for its total energy to 94 %% more than its rest energy?

Express your answer using two significant figures.

An insulating sphere of mass M and radius R is wrapped with N coils of wire around its equator. The sphere is placed on an incline at an angle θ in a uniform magnetic field of strength B. The goal is to keep the sphere from rolling down the incline by having a current in the coils. [Recall, the force of static friction at the point of contact creates a torque about the center of the sphere, which is what causes the sphere to rotate in a way that rolls it downhill.] θ B~ (a) [3 pts.] To keep the sphere in place, must the current in the coils circulate clockwise or counter-clockwise as seen from above? Explain. (b) [6 pts.] Determine an expression for the current, Io, that is needed to keep the sphere in place. (c) [2 pts. each] Assume that the magnitude of current needed to keep the sphere balanced is Io. For each of the following changes to the system, explain whether Io would have a larger value, a smaller value, or the same value. Explain your answers based on physical reasoning—your expression from part (b) should support your answer, but does not explain it. Consider each change individually (i.e., the change made in one part is not present in the other parts). i. The mass of the sphere increases (but the radius stays the same). ii. The radius of the sphere increases (but the mass stays the same). iii. The number of coils increases. iv. The strength of the magnetic field increases. v. The angle of the incline increases (but remains less than 90◦ ).

Three long wires are connected to a meterstick and hang down freely. Wire 1 hangs from the 50-cm mark at the center of the meterstick and carries 1.50 A of current upward. Wire 2 hangs from the 70-cm mark and carries 4.00 A of current downward. Wire 3 is to be attached to the meterstick and to carry a specific current, and we want to attach it at a location that results in each wire experiencing no net force. (a) [8 pts.] Determine the position of wire 3. (b) [8 pts.] Determine the magnitude and direction of current in wire 3.

An expandable cube, initially 17 cm on each side contains 3.9 g of helium at 20∘C. 1400 J of heat energy are transferred to this gas.

a. What is the final pressure if the process is at constant volume?

b. What is the final volume if the process is at constant pressure?

You

are the chief scientist of a crew tasked with travelling to a recently found habitable planet and setting up a colony there for sustained human life. This journey starts on a rocket fired from rest on a deep-space platform, where gravity is negligible. The rocket’s initial acceleration is 20.0 m/s2, it ejects burned fuel at a constant rate, and it ejects 1/12,000 of its initial mass ?0 in the first second. To arrive at the distant target planet in a timely manner, you need the rocket’s speed to reach 1.50 × 10−3?, where ? is the speed of light (3.00 × 108 m/s). What must the mass ratio ??/? be of the rocket in order to achieve this

21) The two-slit experiment illustrated several fundamental concepts in quantum mechanics. Explain what each of these is and how they are demonstrated in the experiments:

1. Intrinsic Randomness
2. Measurements Affect Reality
3. Superposition
4. Heisenberg’s Uncertainty Principle

metal of silver has Refractive index ( 0.05 ) at wavelength 587 nm. and it's attenuation coefficient are 3.9 . Find the reflectivity in case of vertical incidence and phase angle difference for the reflection .

I am writing a lab report about (Simple Pendulum) and I did everything except( the Review of Literature and the methods)

Please type it if not make sure on a clear hand writing

I got a answer but the methods was not there

I need it as soon as possible thanks

A particle of mass m orbits around the origin (0,0) in a circular path of radius r.

(a) Write the classical Hamiltonian (energy) of this system in terms of angular momentum of the particle.

(b) Write the Schrodinger equation for this system.
(c) Find the energy eigenvalues and their corresponding (normalized) wavefunctions.

In the ground state of atomic hydrogen the electron can be pictured as existing some- where within a distance ∆x from the position of the nucleus with ∆x interpreted as the uncertainty in the position of the electron.

1. (a) If ∆x is taken ot be the Bohr radius, calculate the uncertainty in the momentum of the electron.

2. (b) If the uncertainty relation is written as rp = h(bar)?, the energy of the hydrogen atom can be expressed by

E(p)=(p^2/2m)-(e^2p/h)

Calculate the minimum energy of the hydrogen atom.