A block of mass m1 = 2.20 kg initially moving to the right with a speed of 3.10 m/s on a frictionless, horizontal track collides with a spring attached to a second block of mass m2 = 4.7 kg initially moving to the left with a speed of 1.5 m/s.The spring constant is 528 N/m. What if m1 is initially moving at 3.6 m/s while m2 is initially at rest? (a) Find the maximum spring compression in this case. x = -Use the condition for maximum compression of the spring and momentum and energy methods to find the maximum compression. (b) What will be the individual velocities of the two masses (v1 and v2) after the spring extended fully again? (That is, when the two masses separate from each other after the collision is complete.) v1 = m/s to the left v2 = m/s to the right

n this problem, we're going get a rough estimate the amount of uranium fuel it would take if the US recieved all its electrical power from nuclear power plants.

The size of a power plant in normally given as the about of electrical power it can produce when running a full capacity. This electrical power produced can be very different than the mechanical or thermal power that was required to produce this electricity. For example, power plant might have a \"thermal efficiency\" of 25\% and so require 100 MWt (mega-watts of thermal power) to produce 25MWe (megawatts of electrical power). The efficiency will vary from plant to plant but an approximate range is from around 2\5% to 35\%.

Lets assume we have a 10³ MWe electrical power plant that recieves its thermal energy from pressured water nuclear reactor (PWR) and has overall thermal efficiency of 30\%.

You may want to use the following table of atomic masses:

A key point here is that not all of the uranium fuel in the reactor is ²³⁵U. Most of it is actually a different isotope, ²³⁸U, which does not fission in standard reactors. Lets assume the fuel is \"enriched\" so that 2.8\% of the fuel is actually ²³⁵U by mass. What is the total mass of fuel is used in one year?

Use_total =

Assume that all the fuel used in one year must actually be removed as high level radioactive waste. What volume of waste must be removed from the reactor annually and placed in long term storage?

V_total =

Take the electrical production of the US to be around 2.5X10¹²kWh/year. If all of the electrical power was generated by nuclear power plants similar to the one described above, what would the amount of waste that would need to be stored annually?

V_national =

If this waste were formed into a cube, what would be the length of the cube's sides?

L =

200g of water at 30°C is put in a 1000 W (J/s) microwave oven. For simplicity assume that all the energy produced by the microwave goes into the water. The microwave runs for 2 minutes. Constants for H2O: TMP=0°C, TBP=100°C, ΔHmelt = 333.5 kJ/kg, ΔHvap = 2257 kJ/kg, cliquid=4.18 kJ/kgK, cgas=1.87 kJ/kgK. a) Calculate the total amount of energy transferred to the water. Show your work. b) Draw the Three-Phase Diagram (temperature versus energy added) and label the initial state of this process. Label the phase(s) of each section on the diagram and write down the corresponding energy equations in terms of relevant variables. This part is meant to help guide you through part c). c) At the end of the process, what is the final temperature and phase of H2O? If the final state is mixed phase, calculate the mass of each phase. You might find it helpful to draw energyinteraction diagram(s). Show your work.

1. Question #2 of Assignment 9 involved an electrical generation system including a generator with an efficiency of 98%, a transmission line with a 94% efficiency, and finally a light bulb with a 12% conversion efficiency. Suppose that instead of coal, the primary energy for the same system is provided by wind turbines that have a 45% efficiency, or solar cells with a 23% efficiency.

   a) Does the full energy conversion sequence using these renewable sources make significantly more efficient use of the primary energy available? Explain why or why not. [2 Marks]. b) For the fossil fuels, a consequence of low efficiency is that to provide a given amount of energy to customers much more energy, in the form of raw resources, has to be extracted from the ground. For example, to deliver 1000 MJ of electrical energy using coal requires an input of roughly 3000 MJ of primary energy in the form of coal. What is a practical consequence of lower efficiency for renewable resources like wind and solar? In other words, how might 1000 MJ of electrical energy be delivered to customers using wind or solar facilities? Explain. [2 Marks]

3. The Fukushima nuclear reactor accident caused the environmental release of significant amounts of radioactive caesium (Cs) isotopes. Specifically, caesium-134 and caesium- 137, which have half-lives of, respectively, two years and 30 years. The survey of soil radioactivity conducted in June 2011 revealed soil surface Cs-134 activity of about 500,000 Bq/m2 in the town of Okuma (roughly 10 km from the stricken power plant) and Cs-137 activity of roughly the same level. Disregarding any other changes or cleanup efforts, what would you expect the radioactivity due to these caesium iso- topes to be in Okuma today compared to their original levels? (Semi-quantitative or qualitative statements are sufficient.) Explain. [2 Marks]

4. Your friend is terribly afraid of radiation, so naturally her wealthy and mischievous younger brother offers her a choice for her birthday: a day-long walking tour of Okuma (during which she may wear a mask), where the residual radiation dose (from the 2011 accident) averages roughly 4 micro-Sieverts (or 0.004 mSv) per hour above normal background, OR dinner in far-from-Fukushima Tokyo where fresh fish caught off the coast of Fukushima prefecture and rice grown near Okuma will be served. In the absence of any other information which option would you advise your friend to choose, and why? (There is no secret third option...)

Suppose a 13.0 kg fireworks shell is shot into the air with an initial velocity of 62.0 m/s at an angle of 80.0° above the horizontal. At the highest point of its trajectory, a small explosive charge separates it into two pieces, neither of which ignite (two duds). One 9.00 kg piece falls straight down, having zero velocity just after the explosion. Neglect air resistance (a poor approximation, but do it anyway). A)At what horizontal distance from the starting point does the 9.00 kg piece hit the ground? B) Calculate the velocity of the 4.00 kg piece just after the separation. c)At what horizontal distance from the starting point does the 4.00 kg piece hit the ground?

3. A graduated cylinder is filled with 50 mL of water . An aluminum cylinder is dropped , the water rises to 58 mL . As you also add a copper cylinder , the water rises to 64 mL . If the mass of the copper cylinder is 40 grams , find the density of the copper cylinder in g/mL.

a) 5 g/mL

b) 6.7 g/mL

c) 2.9 g/mL

d) 40 g/mL

3. A graduated cylinder is filled with 50 mL of water . An aluminum cylinder is dropped , the water rises to 58 mL . As you also add a copper cylinder , the water rises to 64 mL . If the mass of the copper cylinder is 40 grams , find the density of the copper cylinder in g/mL.

a) 5 g/mL

b) 6.7 g/mL

c) 2.9 g/mL

d) 40 g/mL

4. The electric face between two charged particles is F . as the distance between the two charges m the new force will be .

a) 2F

b) 4F

c) F/2

d) F/4

a) Dr. Liu is learning how to juggle. He tosses a tennis ball (probably bad choice since it is so bouncy) up at 1.6 m/s at a height 1.6 m above the floor and attempts to use the other hand to catch the falling ball. The ball hit the floor at his feet. How long was Dr. Liu's tennis ball in the air (between tossing and landing)? Ignore air drag. He should probably practice tossing his juggling ball at the same height and the same speed before attempting to juggle. Hint: You can set the final position to be zero.

b) In a medieval castle siege reenactment, a castle defender threw down a "stone" (made of soft materials) with all his might, achieving an initial speed of 7 m/s downward. The castle was 7.5 m tall. How long will the attacker have before the "stone" hit the ground? You can assume the final position to be zero. The "stone" has a negligible amount of air drag. Hint: the "stone" has a downward initial velocity.

c) A careless painter dropped a brush (with paint!) from a scaffold outside a building he's supposed to paint. You were just recording a selfie video across the street and caught the falling brush in your video. You used your physics skills to figure out the paintbrush was falling at 6.5 m/s when it was just passing the top of a window that you estimated at 4.6 m above the ground. How long did it take the brush to fall from that height to the ground and make a colorful splash? You can assume the final position to be zero. The paintbrush has a negligible amount of air drag. Hint: the paintbrush has a downward initial velocity at the height you estimated.

Look up 3 examples of the mesh method of circuit analysis use resistors only, secondly give 3 examples of the nodal method of circuit analysis. Compare and contrast both methods to kvl and kcl that we studied in class.

Which of the following experiments will produce constructive interference at the point of view of the observer (eye). The index of refraction of the soap film is 1.25 and there is air above the soap film. In experiments I) (t=300 nm) and III) (t=250 nm) there is air below the soap film, but in experiment II) (t=100 nm) there is a glass with index of refraction equal to 1.5. Assume that in all cases the light is nearly normal to the surface and that the light has 400 nm wavelength in the soap film.

A. None

B. Experiment I only

C. Experiment II only

D. Experiment I and III only

Assume that the light intensity is the same in all cases. Which of the following is true?

Construct a list for each radionuclide, its half life, mode of decay, and principal type(s) and energies of emitted radiations. Avoid radiations with energies < 10 keV or yields < 1%. Put each radionuclide in a separate list.

H-3
C-14
F-18
P-32
S-35
Co-60
Sr-90
Tc-99m
I-125 & I-131
Cs-137
Ra-226
Am-241

1. Determine the spring constant for the stiffer spring. Your answer should include a plot of yur data. NOTE the stiss spring has maximum lenght of 17 cm .

2.Determine the spring constant for the stretchy spring. NOTE your answer should include a plot of your data. The strecthy spring has a maximum length of 25 cm

3.Is there any correletion between the spring constant values for teh spring and their apparent stiffness?

Q6).

A coil with 5 windings or turns, and an area of 0.0679m² rotates in a uniform magnetic field of magnitude 0.886T. The emf induced in the coil has the following form as a function of time :

ε(t)= ε₀ sin(ωt)

ε₀ = 22.3 Volts. Calculate ω in radians per second.

Q7).

The current in a long solenoid with 19 turns per meter of radius 0.8987m depends on time as follows:

I_s= 38.7(Ampere/second)*t

where t is time.

A circular loop of wire of radius 0.163m is concentric around the solenoid. An electrical current of 0.00494 Amps is induced in the loop. (Solenoid can be treated as infinitely long. Note the wire loop is outside the solenoid.) Find the resistance of the loop in Ohms.

Q7A). In the previous situation, in which a current through a solenoid is increased and thereby a current is induced in a wire loop which is concentric with the solenoid. Is the induced current in the loop in the same direction as the current in the solenoid or in the opposite direction?

A train accelerates at 1.41 m/s² from rest to a steady speed in 68.48seconds. It maintains that speed for 29.55 miles and then starts slowing down at 1.39 m/s² until coming to a stop at its destination. What is the total distance traveled in meters?