Write an essay about the expected life cycle of a star the mass of our Sun. Please include the following in your discussion • molecular cloud • protostar • main sequence • red giant branch • horizontal branch • asymptotic branch • planetary nebula • white dwarf

A 0.726-kg rope 2.00 meters long lies on a floor. You grasp one end of the rope and begin lifting it upward with a constant speed of 0.710 m/s.

Find the position and velocity of the rope’s center of mass from the time you begin lifting the rope to the time the last piece of rope lifts off the floor.

Plot your results.

(Assume the rope occupies negligible volume directly below the point where it is being lifted.)

You are trying to study for a physics exam, but your kids keep distracting you. You design a game where you can both play with your kids and study physics. You take two of your children’s blocks and place them on a table. Block 2 (mass = 0.3 kg) is at the edge of the table. Block 1 (mass = 0.2 kg) is held against a spring (spring constant = 500 N/m) that is compressed a distance of 0.08 m. After you let block 1 go from rest, it slides a distance of 0.6 m from the release point and then experiences a head-on collision with block 2. After the collision, block 1 stops and block 2 moves horizontally off the table. The goal of the game is to have block 2 land in a basket on the floor. The coefficient of kinetic friction between block 1 and the table is 0.3. 

A) Where should you place the basket on the floor? 

B)What is the speed of block 2 when it lands in the basket?

C)Determine the speed of block 2 when it hits the basket using kinematics

   - What is the y component of block 2's velocity when it hits the ground?

- What is the speed of block 2 when it hits the ground?

- Does your answer to this follow up agree with you original answer?

D) Suppose you increase the initial compression distance of the spring to some value greater than 0.08 m and then released block 1. Would block 2 spend more time in the air, less time, or the same amount of time?

a 0.16 kg mass at the top of a 0.8 m high (vertical) incline. if this mass were a uniform, solid sphere (radius .057 m, like a billiard ball) and it is allowed to roll (without slipping) down the incline, what will be its speed (in m/s) at the bottom of the incline?

Question 1 a) What is the significance of the N.A. number inscribed on the outer barrel of an objective? b) What is meant by depth of field? c) With an objective of a given magnification, why shouldn't one use increasingly higher magnification eyepieces to achieve higher total magnification? d) In a light microscope an object is placed 2 mm away from a lens of diameter 2 mm. The object is in air (refractive index = 1) and the wavelength of the light (green) is 520 nm. i. What is the one-half angular aperture of the objective? ii. What is the best possible resolving power of this microscope? e) Calculate the eth o iel or a resolin oer o m in a microscoe ith a final aperture of diameter 1 mm and a working distance of 20 mm. f) Why is optical microscopy not suitable for observations of fracture surfaces? g) What is the advantages of the confocal microscopy over optical microscopy?

Estimate the time needed for a glycine molecule (see Table 13?4 in the textbook) to diffuse a distance of 29 ?m in water at 20 ?C if its concentration varies over that distance from 1.05 mol/m3 to 0.43 mol/m3 Compare this "speed" to its rms (thermal) speed. The molecular mass of glycine is about 75 u

The electrons in the beam of a television tube have an energy of 13 keV. The tube is oriented so that the electrons move horizontally from north to south. The vertical component of the Earth's magnetic field at the location of the television has a magnitude of 42.0 ?T and is pointing down.

a) In which direction does the force on the electrons act (enter N for north, S for South, E for East, or W for West)?  
Neglect a possible horizontal component of the magnetic field.

b) What is the magnitude of the acceleration due to the vertical component of the Earth's magnetic field of an electron in the beam?

c) If the inclination of the earth's magnetic field near the TV is 51deg, calculate the magnitude of the force on the electrons due to the horizontal component of the Earth's magnetic field.

A hunter is standing on flat ground between two vertical cliffs that are directly opposite one another. He is closer to one cliff than the other. He fires a gun and, after a while, hears three echoes. The second echo arrives 1.27 s after the first, and the third echo arrives 0.642 s after the second. Assuming that the speed of sound is 343 m/s and that there are no reflections of sound from the ground, find the distance (in m) between the cliffs.

Two coherent wavelengths of light are incident on a double slit, one of the wavelengths corresponds to blue light of 460 nm and the other is unknown. The slit separation is 0.007 mm. The second-order bright fringe of the blue light falls at the same angle as the first order light of the other wavelength.
(a) Determine the unknown wavelength.
(b) Determine the number of fringes of these two wavelengths visible to one side of the zeroth order bright fringe.
(c) Suppose a screen were placed 30 cm from the slits. How large of a screen would be required to fit all of the fringes from part (b)?
(d) Describe how the appearance of the fringes would change if a grating of equal slit separation were used in place of the double slits. Include any changes to fringe separation or brightness in your description.

Two blocks in a system (b1 & b2) collide inelastically where b1 has a velocity (v) and a small mass (m) and b2 is stationary with a large mass (M). b2 can absorb some of the collision similar to a spring that does not recoil with a stiffness of (k). When the blocks collide they will stick together. The plane that the blocks are moving on is horizontal and frictionless.

1)Find the change in internal energy (delta U)

2)If all of the energy change is stored as potential energy of a spring that cannot recoil find the distance of compression that the spring undergoes in terms of v, m and k.

3)Now assume that during the collision the surface is hot. Shortly after the collision the blocks reach thermal equilibrium. Find (delta U) a few seconds after the collision

After an unfortunate accident occurred at a local warehouse, you were contracted to determine the cause. A jib crane collapsed and injured a worker. An image of this type of crane is shown in the figure.The horizontal steel beam had a mass of 90.20 kg90.20 kg per meter of length, and the tension in the cable was T=12040 NT=12040 N. The crane was rated for a maximum load of 500 kg500 kg. If d=5.870 md=5.870 m, s=0.558 ms=0.558 m, x=1.200 mx=1.200 m, and h=1.980 mh=1.980 m, what was the magnitude of WLWL (the load on the crane) before the collapse? The acceleration due to gravity is g=9.810 m/s2g=9.810 m/s2.

What was the magnitude of force FPFP at the attachment point P?

Start from the 1st order Born approximation result given in Eq. (6.3.3), and

a) Derive, in all details, the expression for scattering amplitude for a general spherically symmetric potential V(r' ). This means to derive Eq. (6.3.5).

b) Apply this result to find the scattering amplitude for a Yukawa potential in all of its details (Eq. 6.3.12).

c) Reduce this result to the Coulomb scattering for an incoming particle of mass m and charge Ze, on a heavy target of charge Z'e.

explain the tradeoff between horizontal and vertical velocity