Physics Homework Solutions

Canonical Ensemble Partition function for a collection of INDEPENDENT and NON-INTERACTING harmonic oscillators.

Calculate the canonical ensemble partition function for a collection of INDEPENDENT and NON-INTERACTING harmonic oscillators. Assume the energy spacing between adjacent states in an oscillator is LARGE compared to kT. Calculate in detail; do not skip steps and state all assumptions/approximations.

Magnetization problem.

Why do we need to take the derivative of Log(Z_N) with respect to beta when computing the magnetization?

Graphing

Part A: A soap bubble is given an initial velocity downward from a height of H directly above a vent. Warm air from the vent gently applies a small constant upward force on the soap bubble. As a result, the soap bubble descentds only to within a few centimeters of the vent before turning around. --For the entire motion of ...continues

acceleration

A passenger is pulling on the strap of a 17.8 kg suitcase with a force of 68.9 N. The strap makes an angle of 35.7 degrees above the horizontal. A 38.6 N friction force opposes the motion of the suitcase. Calculate the acceleration of the suitcase.

Normal force

What is the normal force of the incline on the block?

Tension

See attached diagram A van accelerates downa hill going from rest to 32.8 m/s in 5.49 s. During the acceleration, a toy (m=0.115 kg) hangs by a string from the van's ceiling. The acceleration is such that the string remains perpendicular to the ceiling. How do you find the tension of the string?

Normal force

My problem is that I need to determine the normal force of the inlcine on the block. The coefficient of static friction between the block and incline is mu^s = .295. I have determiend that the minimum value of "F" is 18.49 N. I understand that "F" * sin (59.5) would be my answer to determine the normal force, yet I k ...continues

Finding the radius of a circle

Please see the attachment. I do not have notes as to how to determine the radius, would you please walk me through the steps.

Problems

The coefficient of linear expansion of steel is 12 à— 10-6/C°. A railroad track is made of individual rails of steel 1.0 km in length. By what length would these rails change between a cold day when the temperature is -10 °C and a hot day at 30 °C? A 0.62 cm B 24 cm C 48 cm D 480 cm E 620 cm The co ...continues

Fundamentals of STATISTICAL AND THERMAL PHYSICS

(See attached file for full problem description)

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