A wedge of mass M rests on a rough horizontal surface with coefficient of friction µ. The face of the wedge is a smooth plane inclined at an angle θ to the horizontal. A mass A hangs from a light string which passes over a smooth peg at the upper end of the wedge and attaches to a mass B which slides without friction on the face of the wedge.

(i) Find the accelerations for the masses A and B, and the tension in the string when µ is very large.
(ii) Find the smallest coefficient of friction for which the wedge will remain at rest.

A thin film having an index of refraction of 1.50 is surrounded by air. It is illuminated normally by white light. Analysis of the reflected light shows that the wavelengths 360, 450, and 600 nm are the only missing wavelengths in the visible portion of the spectrum. That is, for those wavelengths, there is destructive interference.

(a) What is the thickness of the film?
nm

(b) What wavelengths in the visible portion of the spectrum are brightest in the reflected interference pattern? (Enter your answers from smallest to largest.)

(c) If this film were resting on glass that has an index of refraction of 1.60, what wavelengths in the visible spectrum would be missing from the reflected light? (Enter your answers from smallest to largest.)
....... nm
....... nm
....... nm

Derive an expression for the total number of stars between masses M1 and M2, where M1 < M2.

Can the Salpeter IMF extend to arbitrarily low mass stars? Justify your answer quantitatively

Derive an expression for the total mass in stars formed with masses between M1 and M2, where M1 < M2.

Relation among material buckling, geometry buckling and multiplication factor.

A violin string 20.0 cm long with mass 4.8 g and tension 48 N, fixed at both ends, oscillates in its n=2 mode. What is the wavelength in air of the sound emitted by this vibrating string? ( The speed of the sound in air is 343 m/s.)

The answer is 1.534 m, not sure how to find it.

Explain the physics meaning of material buckling and geometry buckling.

Errors are essential in physics Labs when measuring physical quantities. Discuss the most important techniques that we must follow in order to minimize such problems? Support your answer by example.

The area enclosed by the wire loop in the figure below is reduced from 31 cm2 to 12 cm2 in a time interval of 0.11 s. The magnitude of the magnetic field is 0.53 T. Find the emf induced in the wire.

Oxygen for hospital patients is kept in special tanks, where the oxygen has a pressure of 75.0 atm and a temperature of 280. K. The tanks are stored in a separate room, and the oxygen is pumped to the patient

Suppose a rocket-propelled motorcycle is fired from rest horizontally across a canyon 1.20 km wide.

(a) What minimum constant acceleration in the x-direction must be provided by the engines so the cycle crosses safely if the opposite side is 0.780 km lower than the starting point?
m/s²

(b) At what speed does the motorcycle land if it maintains this constant horizontal component of acceleration? Neglect air drag, but remember that gravity is still acting in the negative y-direction.
m/s

The ?? plane carries the surface free current density ?⃗⃗⃗ =?0?̂. The free current is centered within an infinite slab of linear material of permeability ?. The slab has a thickness 2 ? and is surrounded by free space. Find ?⃗⃗ , ?⃗⃗⃗ , ?⃗⃗⃗ , and the bound current densities everywhere. [Hint: For planar currents try always to draw a cross sectional view of the situation such that the current is out of the page]

Write an essay on the use of electricity and magnetism in our future transportation with relevant references. Go into detail electricity magnetism 1500 words

The star Phi Orionis, like the Sun, is powered by the fusion of hydrogen to helium. The mass of Phi Orionis is Mφ = 18M. The luminosity of Phi Orionis is Lφ = 20, 000L. Discuss the likelihood of intelligent life existing on a planet orbiting the star Phi Orionis. [Questions you might want to consider: What is the lifespan of Phi Orionis? How long did it take intelligent life to develop on Earth? How far would you have to be from Phi Orionis to receive the same flux of light that we receive here on Earth from the Sun?}