One way to store a lot of energy is to compress air in a large cave. The air starts at the corner marked by the black dot, where P = 1 atmosphere, V = 1 cave volume (let's choose 1,000,000 cubic meters), and T = 300 K. It is then adiabatically compressed to half the volume by a pump. As the air comes out of the pump it is hotter (how hot? what is the pressure?), but it cools to 300 K again at constant volume (what is the temperature now?). Later, the air expands adiabatically running a generator, ending at the initial volume. It is now colder than 300 K (how cold?) but it warms up to end at the original temperature, pressure, and volume.How much work did the pump do? How much energy was given to the generator

The name of the course Physics of Measurements

Question 3

a) what is the Rejection of Data ?

b) What is the Weighted Averages and how is it calculated ?

#12AWG copper wire (0.081” diameter) has a current carrying capacity of 20A. (a)With 20 A in the wire, what is the magnitude of the magnetic field the surface of the wire? (b) If a very long, straight piece of this wire is placed in the Earth’s magnetic field at sea level (~ 0.5 Gauss)with the wire at right angles to the field, where are the points at which the Earth’s magnetic field is canceled, i.e. the net magnetic field is zero?

A block of mass M = 10.0 kg is given an initial speed v0 = 2.10 m/s from height hi down a frictionless incline plane of angle θ = 75◦. After it reaches the bottom of the incline, it continues to slide on a horizontal surface of coefficient of kinetic friction µk = 0.15. After sliding a distance d = 1.8 m along the horizontal surface, the block moves at a speed v = 7.00 m/s. Magnitude of acceleration due to gravity is g = 10 m/s2. 14 pt At what initial height hi on the plane was it released from? 5.A 2.50 m B 1.96 m C 2.23 m D 0.65 m E 2.41 m.

Determine the direction of the effective value of g⃗  at a latitude of 60 ∘ North on the Earth.

Answer should be in degrees south of radially inward.

1. Two positive charges are placed on the x-axis. A +10-7 Coulomb charge is at the origin and a +10-7 Coulomb charge is at x= 5 cm. a) Where is the electric field of the two charges exactly zero? b) What is the electric field, magnitude and direction, at the point x=2.5 cm and y=2.5 cm? Make a sketch as part of your answer. c) Find the force, magnitude and direction, on a +10-8 Coulomb charge placed at the point x=2.5 and y=2.5 cm.

An α-particle has a charge of +2e and a mass of 6.64 × 10-27 kg. It is accelerated from rest through a potential difference that has a value of 1.81 × 106 V and then enters a uniform magnetic field whose magnitude is 2.63 T. The α-particle moves perpendicular to the magnetic field at all times. What is (a) the speed of the α-particle, (b) the magnitude of the magnetic force on it, and (c) the radius of its circular path?

I ranked the steam engine as one of the half dozen most important inventions in history – explaining how, even if obsolete nowadays, it was the first engine able to generate power, a technology that revolutionized our ability to do something we could never do before. Choose five other inventions you think would similarly round out the top half dozen, and make a good case as to how each merits the important position you gave it in the progress of science, technology, or society. Think historically and comprehensively.

inventions( Printing press, light bulb, telegraph, the wheel, microscope)

Water (density p=1000 kg/m^3) is discharging from through a hole at the bottom of a graduated cylinder. The mass flow rate exiting the container may be approximated by: mass flow rate = C*p*A*(2*g*y)^(1/2) Where C is the dimensionless discharge coefficient , A is the area of the discharge hole, g is the acceleration due to gravity, and y is the water height in the container. The diameter of the graduated cylinder is 8 cm. For the following givens, estimate the time to empty half the water from the container

. C= .6 A=.04 cm^2 g= 9.8 m/s^2 y(initial)= 20cm

NEED PICTURE OF EXCEL OR SPREADSHEET OR MATLAB

I found normal calculations on other page of CHEGG.

2. Consider two atoms, one described by the state vector |ψ1〉 = A1 |+〉−2A1 |−〉 and the other by |ψ2〉 = A2 |+〉 − A2eiπ/4 |−〉 where A1 and A2 are real constants.

(a) Calculate the constant A1.

(b) Calculate the constant A2.

(c) Calculate 〈ψ1|ψ2〉.
(d) Calculate 〈ψ2|ψ1〉.

(e) Derive a normalized vector |ψ3〉 that is orthogonal to |ψ1〉.

At one instant, the center of mass of a system of two particles is located on the x-axis at x=2.0m and has a velocity of (5.0m/s). One of the particles is at the origin. The other particle has a mass of 0.10kg and is at rest on the x-axis at x= 8.0m. 1.What is the mass of the particle at the origin? 2. Calculate the total momentum of this system. 3. What is the velocity of the particle at the origin?

A traffic policeman hiding behind a signboard detects a car speeding past him with a constant speed of 150 km/h. He starts his motorcycle 3.0 seconds later and carried out a pursuit, accelerating uniformly at 12 m/s2. Calculate the largest separation in meters between the car and the motorcycle before the interception

Two forces are applied to a car in an effort to move it, as shown in the figure below. (Let

F₁ = 425 N

and

F₂ = 367 N.

Assume up and to the right are in the positive directions.)

(a) What is the resultant vector of these two forces?

(b) If the car has a mass of 3,000 kg, what acceleration does it have? Ignore friction.
m/s²

A diatomic gas containing 1.5 moles expands in an isothermal process from b to c. From c to a the gas is compressed from a volume of 0.1m3 to 0.04m3 at a constant pressure of 100kPa and from a to b the gas goes through an isochoric process. Determine:

(3 pts) Determine highest temperature and the lowest temperature reached by the gas.

High

Low

(6 pts) Determine how much heat is added to the gas in each cycle and how much heat is lost each cycle.

Heat Added

Heat Lost

(3 pts) Calculate the efficiency of this engine and the efficiency of a Carnot engine working between the same temperatures.

Engine efficiency

Carnot efficiency

gas.png