Sketch and describe how a Pole Figure is constructed. Which reference frames are related in a Pole Figure

Question 4: Alpha Centauri is a binary star system (the two individual stars are called Alpha Centauri A and B) that is part of a triple star system (the third star is Proxima Centauri). This is the closest star system to the Sun. Alpha Centauri A and B are so close that if they are viewed with the naked eye they are seen as one star from the Earth. The absolute magnitude of Alpha Centauri A is 4.4, while the absolute magnitude of Alpha Centauri B is 5.7. The distance to Alpha Centauri is 1.35 pc.

a) Calculate the apparent magnitude of both Alpha Centauri A and B.

b) Calculate the apparent magnitude of Alpha Centauri, when seen as one object.

c) If Alpha Centauri A is able to fully eclipse Alpha Centauri B, how much does the radiant flux change when this happen, compared to when both stars are not eclipsing each other?

Choose one type of electromagnetic radiations, specify the range of wavelengths for this type and give one application in our everyday lives and explain it (Minimum five lines) ؟

Classical Mechanics problem:

Derive the expression for the total energy E(t) of an underdamped oscillator as a function of time.

The figure represents an insect caught at the midpoint of a spider-web thread. The thread breaks under a stress of 9.2 × 108 N/m2 and a strain of 2.00. Initially, it was horizontal and had a length of 3.5 cm and a cross-sectional area of 9.5 × 10-12 m2. As the thread was stretched under the weight of the insect, its volume remained constant. If the weight of the insect puts the thread on the verge of breaking, what is the insect's mass? (A spider's web is built to break if a potentially harmful insect, such as a bumble bee, becomes snared in the web.)

can someone explain how weight training can be modeled in a graph?,

An elevator (1500 kg mass, with passengers) is attached to a 1000 kg counterweight by a cable that is wrapped over a pulley. It is also attached (by a second cable) to a motor. The elevator is moving down at a constant speed of 5 m/s.

a) Determine the force that the motor must apply to the second cable.

b) Determine the force that the motor must exert to lower the elevator with a constant downward acceleration of 1 m/s^2.

c) Determine the Force that the motor must exert to lower the elvator with a constant upward acceleration of 1 m/s^2.

d) Draw a graph of the acceleration of the elevator as a function of the force exerted by the motor. Fill in imoprtant numbers on each axis.

I know this is alot, but thank you!

A measuring cylinder made of glass has a volume of 200 mL when measured at 20°C. Mercury, also at 20°C, is added to the measuring cylinder until the mercury level reads 197 mL on the measuring cylinder scale. The mercury and glass are then warmed until the mercury level reads 200 mL on the measuring cylinder scale. Taking the coefficients of volume expansion of glass to be 2.0 × 10^-5 K^-1 and for mercury to be 18 × 10^-5 K^-1, what is the final temperature?

An insulating sphere with radius R1 and density by uniform charge ρ1 is placed in the center of a thin shell spherical with radius R2 and surface charge density uniform σ2. Here are the known parameters: R1 = 0.2 m R2 = 0.6 m ρ1 = 6 µC / m3 E = 0 everywhere outside the thin shell a) Using the Gauss theorem, calculate the value of the parameter σ2 in nC / m2 . b) Using the Gauss theorem, determine the expression of the electric field in the region between the two objects, depending on the position r. c) From your answer in b), calculate the potential difference V2 - V1. Hint: there are an integral to perform. d) Using the principle of superposition of potentials (see TP solution of 4P5), calculate the potential resulting on the surface of the insulating sphere, ie V1.

A sturdy, sealed container contains 0.2 moles of helium gas. It is initially sitting in a room at 20 °C, and the pressure of the gas is observed to be 200 kPa. The container is then placed in boiling water.

(a) What will the pressure be when the temperature of the gas reaches equilibrium?

(b) What is the change in entropy of the gas during this process?

(c) Is work done on or by the gas? If so, how much?

(d) It heat transferred to or from the gas? If so, how much?

In class we showed that hot air at atmospheric pressure is less dense than cooler air at the same pressure.

Because of this difference hot-air balloons can stay aloft. Assume that you have an air-balloon that has

the volume of 500 m3 and the surrounding air is at 100C. You want to lift 250 kg object (in addition to

the mass of the hot air that is inside the balloon). What must be the temperature of the air in the balloon?

03
The density of air at 10 C and atmospheric pressure is 1.23 kg/m . The heated air inside the balloon is at

roughly the same pressure as the outside air.

Derive the Beats using trigonometric identity , and explain about the envelope and "carrier"

Draw a diagram of waves going in and out of the phase

Masses coupled through springs is a model for the behavior of atoms in a crystal. Consider a one-dimensional crystal, what if we have a crystal made of two kinds of atoms with different masses? Consider a one-dimensional lattice made up of alternating large and small masses, M and m, respectively. Assume periodic boundary conditions. (a) Calculate the normal modes of this lattice (you should find two normal modes). (b) Describe the relative motion of the two types of masses for each mode.

Neutrons are born out of fission at a high energy and must be slowed down to the low energy region, called the “thermal energy” region, to cause another fission. A material called a “moderator” is used to slow the neutrons down, or “moderate” them, by elastic scattering collisions.The average neutron energy coming out of fission of thermal neutrons is 1.98 MeV in kinetic energy. What is the number of collisions required to bring its average kinetic energy to 0.1 eV if it elastically scatters off of the following moderators:

a. Hydrogen-1

b. Hydrogen-2

c. Carbon-12

d. Uranium-238