You will compute absolute zero a) graphically and b) algebraically using the following two measurements: (Ti = 25 C, Vi = 222 mL) and (Tf = 100 C, Vf = 279 mL). You are heating a gas at constant pressure, and it expands. You may leave everything in degrees Celsius and milliliters.

particle of mass m, which moves freely inside an infinite potential well of length a, is initially in the state Ψ(x, 0) = r 3 5a sin(3πx/a) + 1 √ 5a sin(5πx/a). (a) Normalize Ψ(x, 0). (b) Find Ψ(x, t). (c) By using the result in (b) calculate < p2 >. (d) Calculate the average energy

3 (a) state newton second law of motion in words. Write the law as an equation,stating the meaning.

(B) State the Zeroth law of Thermodynamics. why is it called"Zeroth" law?

(c) State newton's law of universal gravitation. Give the formula (equation)for the magnituded of the gravitational force between two masses, explainig the meanings of the symbols you uses

(D) state the first law of thermodynamics in words .Give the equation form of the law.explaing the meanings of the symbols you use

Thank you

4. Show that the geodesics of a spherical surface are great circles, i.e., circles whose centers lie at the center of the sphere.

For context, this a problem from Goldstein, Poole and Safko Classical Mechanics 3rd edition from a chapter about variational principles.

1. Derive the Braggs law of x-ray diffraction ?

A 1.8 kΩ resistor draws 12 mW when placed across the terminals of an ideal battery.

a) Determine the current drawn by the resistor.

b) Determine the emf provided by the battery.

If a second resistor (resistor B) were placed in parallel with the resistor described above (resisitor A), how would the following quantities change?

c)he voltage across resistor A

1. smaller
2. unchanged
3. larger

d) The current through resistor A

1. smaller
2. unchanged
3. larger

e) The resistance of resistor A

1. smaller
2. unchanged
3. larger

f)The equivalent resistance of the circuit

1. smaller
2. unchanged
3. larger

g) The emf provided by the battery

1. smaller
2. unchanged
3. larger

h) The current drawn by the circuit

1. smaller
2. unchanged
3. larger

Describe to errors in Linear Expansion Experiment and suggest solutions to solve them.

One car has twice the mass of a second car, but only half as much kinetic energy. When both cars increase their speed by 7 m/s, they then have the same energy. What were the original speeds of the two cars?

A capacitor with capacitance 6.00 × 10−5 is charged by connecting it to a 12.0 V battery. The capacitor is disconnected from the battery and connected across an inductor with L=1.50 H.

1. What is the initial energy stored in the capacitor?

2. What are the angular frequency of the electrical oscillations and the period of the

   oscillations?

3. What is the charge on the capacitor 0.0230 s after the capacitor is connected to the

   inductor? Interpret the sign of your answer.

4. What is the current in the inductor 0.0230 s after the capacitor is connected to the

   inductor? Interpret the sign of your answer.

5. At a time t=0.0230 s after the capacitor is connected to the inductor, how much

   energy is stored in the capacitor and how much is stored in the inductor (make sure to compare your answer to part A)?

1. Starting with the multiplicity expression for an Einstein solid in the limit ? ≫ ?, i.e., Ω ≈ -./10, and the expression ? = ?? where ? is the smallest discrete energy unit, derive the energy U as a function of temperature.

Let A ⊂ R be a nonempty discrete set

a. Show that A is at most countable

b. Let f: A →R be any function, and let p ∈ A be any point. Show that f is continuous at p

Plate values of a three-phase transformer are given below:
1600 kVA, 15 kV / 0,4 kV, 50 Hz, i₀ = 1.2%; u_kN= 6%, idle losses 2450 W, rated power copper losses 14500 W; D_y5 connected..

III) If there is 75% load in the power factor with 0.85 inductance and 0.85 capacity. At what times of the day can capacity loading be seen? What solution should be applied to prevent voltage change?

IV) Draw the fastening group. How can this transformer be operated in parallel with the D_y11 connected transformer?

V) If this transformer is operated at 60 Hz, which sizes change how? Comment.

1. A clear step by step formulation and solution (using Hamiltonian function) of the two body problem relative to inertial frame of reference.

2. A clear step by step formulation and solution (using Hamiltonian function) of the two body problem relative to a non-inertial frame of reference.

2. a. What is the value of neutron flux considering Source-free, Non-multiplying Systems with Plane Geometry, if Φ (x) = 3.3 X 1013 x2 and Diffusion Length, L = 2.85 cm. If you get negative value, consider the absolute term for neglecting the negative sign. [15]

   b. What is the value of neutron current density? Assume Φ (x) = 3.3 X 1013 x and Diffusion Length, L = 2.85 cm and ∑a = 2.1 X 104 cm-1? [15]