Provide a description of our home galaxy, the Milky Way. Include in your description the location and stellar populations (new stars/ old stars) of the central bulge, disk, and halo. Also provide details such as the Hubble classification, disk structure, location of star forming regions, and the best estimate of the number of spiral arms.

USING CONSERVATION OF ENERGY AND WORK ENERGY PRINCIPLE:

A block of mass m=1.8 kg on a table is pushed against a spring that has a force constant of k=250 N/m, compressing it 20 cm (the block is not attached to the spring). The block is then released, and the spring pushes the block to move to the right. The coefficient of kinetic friction between the block and the table is 0.45.

(a) Find the distance the block will travel before it stops. (b) Find the maximum speed of the block.

A pendulum has a length 1 m and a mass 1 kg. Assume Earth free fall acceleration equal to 10 m/s^2. When the pendulum oscillates, the maximal deflection angle is +/- 1 degree.

a) If the maximal deflection angle doubles, what would be the new period?

b) If the pendulum mass goes up 100 times, what would be the new period?

c) If the length goes up 100 times, what would be the period?

d) If the pendulum moves to Moon, what would be the period?

Two blocks are positioned on surfaces, each inclined at the same angle of 52.5 degrees with respect to the horizontal. The blocks are connected by a rope which rests on a frictionless pulley at the top of the inclines as shown, so the blocks can slide together. The mass of the black block is 5.05 kg, and the coefficient of kinetic friction for both blocks and inclines is 0.510. Assume static friction has been overcome and that everything can slide. What is must be the mass of the white block if both blocks are to slide to the LEFT at a constant velocity?

A pendulum has a length 1 m and a mass 1 kg. Assume Earth free fall acceleration equal to 10 m/s^2. When the pendulum oscillates, the maximal deflection angle is +/- 1 degree.

a) How long will it take before the energy drops to half of the initial value at t=0?

b) How long will it take before the max deflection angle drops to half of the initial value at t=0?

c)

If the damping was produced by a force given by F = -v*k, where v is the velocity and k is some friction coefficient, find k.

(Hint: derive the equation of motion for the pendulum including friction and compare to the textbook one describing the damped harmonic oscillations.)

d)

Suppose you are aiming to excite a resonance of this pendulum by kicking it with a periodically modulated force at a frequency f. What should be f in Hz and approximately how accurately should you be able to adjust f, i.e. f +/- how much?

(Hint: look up the expression for the amplitude of forced vibration of a harmonic oscillator and see how it depends on the frequency of the external force and the dambing constant.)

A photovoltaic solar collector with an area of 2 m2 is tracking the sun for 8 hours on a sunny day. Assume that, the solar flux on the collector is constant through the day as 1000W/m2. PV Solar collector properties are:

FF: %75, Efficiency: %18.2

V (MPP, nominal) = 28 V

V (Open Circuit) = 32 V

a) What is the total amount of energy converted to electricity?

b) Assume a reasonable price for the cost of electricity and then calculate the value of electricity ($) produced for whole day.

c) Calculate the generated current and Short Circuit Current.

A H₂ molecule can be approximated by a simple harmonic oscillator having a spring constant k = 1.1 ✕ 10³ N/m.

(a) How many different energy transitions are possible when the H₂ molecule decays from the third excited state down to the ground state?

(b) Find the photon energies produced in these transitions and their wavelengths. Enter 0 in any unused boxes.

Captain Kiddo is trapped into her car, a 1967 DeTomaso Mangusta, windows rolled up, which sinks deep down into the ocean.

A) Will she have a better chance to escape by the window or the door? Why?

Captain Kiddo is on cargo ship that travels from the Atlantic Ocean to the Amazon River.

B) Will the ship sink or rise with respect to the waterline as it moves from the ocean to the river water? Why?

A large storage tank, open to the atmosphere at the top and filled with water, develops a small hole in its side at a point 11.6 m below the water level. Assume the tank is large so the velocity of the water at the top of the tank is zero. The rate of flow from the leak is 2.53×10−3 m3/min.

(a) Determine the speed at which the water leaves the hole.

(b) Determine the diameter of the hole (in millimeters).

Thank you!

I assume it is some kind of quantity. Google only made things more confusing.

I get that it has something to do with circuits.

I also get what a discrete charge is. In fact, I thought charges were, by definition, discrete - because each individual proton/electron/hole contributed one unit of charge.

Jason takes off from rest across level water on his jet-powered skis. The combined mass of Jason and his skis is 75 kg(the mass of the fuel is negligible). The skis have a thrust of 200N and a coefficient of kinetic friction on water of 0.10. Unfortunately, the skis run out of fuel after only 48s. What is Jason's top speed?

A) 81 m/s

B) 48 m/s

C) 130 m/s

D) 13 m/s

In the figure, a T bar ski tow pulls a skier up a hill inclined at 10 degrees above horizontal. The skier starts from rest and is pulled by a cable that exerts tension T at an angle of 30 degrees above the surface of the hill. The mass of the skier is 60kg and the effective coefficient of kinetic friction between the skis and the snow is 0.100. What is the maximum tension in the cable if the starting acceleration is not to exceed 0.400g ?

A charge of -1.0 µC is located at the origin, a second charge of 1 µC is located at x = 0, y = 0.1 m, and a third charge of 11 µC is located at x = 0.2 m, y = 0. Find the forces that act on each of the three charges.

(values for q=-1 is correct but all other values are wrong please show all work)

If you take a boat from earth and put it on a planet with twice earth’s gravity, what would

happen if you tried to float it in water? Hint: Think about the buoyancy force formula. (5

points)

2. You drop a cube of mass 1 kg into a cup of water. It sinks with an acceleration of 2

m/s^2.

a. What is the buoyancy force of the water? (4 points)

b. What is the density of the water if the volume of the cube is 30 cm^3 (4 points)

Two infinite planes of charge lie parallel to each other and to the yz plane. One is at x = -2 m and has a surface charge density of ϝ = -3.2 µC/m2. The other is at x = 3 m and has a surface charge density of ϝ = 4.0 µC/m2. Find the electric field for the following locations.

(a) x < -2 m = N/C (i hat)

(b) -2 m < x < 3 m = N/C (i hat)

(c) x > 3 m = N/C (i ha)t