Consider and airplane flying at a pressure altitude of 40,000 feet and a density altitude of 30,000 feet. Calculate the outside air temperature.

Design an experiment to find the relationship between the mass on the spring and the period of oscillation. Include: What quantity will you vary?

Which quantities will you hold constant?

What quantities will you measure?

What will you plot?

A hollow, plastic sphere is held below the surface of a freshwater lake by a cord anchored to the bottom of the lake. The sphere has a volume of 0.640 m3 and the tension in the cord is 2120 N.

a) Draw a free body diagram when sphere is at the bottom.

b) The cord breaks and the sphere rise to the surface. When the sphere comes to rest, what fraction of its volume will be submerged?

What is an “X ray” (radiograph)—what creates the image?

What sort of radiation is involved? Are X rays “perfectly safe”? If not, what are the dangers?

A horizontal piston assembly contains water. The piston is connected to a shaft, which can apply different forces to the piston as the water is expanded or compressed. Initially the apparatus contains a saturated liquid-vapor mixture of water at .9 bar with quality of 80% and a volume of 1.0 m^3. The shaft is programmed to move following a polytropic processs until the volume doubles and the pressure is 0.7 bar.

A) For the initial state, what percent of the total volume is occupied by vapor?

B) Could Kinetic and potential effects be neglected for the system? Why or Why not?

C) Determine the amount of heat transfer required to accompany the process in kJ

D) For the initial state, calculate the amount of mass present in the vapor phase kg

E) Determine the type of polytrophic process (find n when PV^n= Constant

If you could answer all the question you’d be absolutely amazing

Consider a system of three particles with three energy eigenstates of 0, 3ε and 5ε. Write the partition function for three particle system.
a) If the particles are non-identical
b) If the particles are obeying Bose-Einstein statistics.
c) If the particles are obeying Fermi-Dirac statistics

2.) For this problem the heights are low enough that the acceleration due to gravity can be approximated as -g. (Note: even at low Earth orbit, such as the location of the International Space Station, the acceleration due to gravity is not much smaller then g. The apparent weightlessness is due to the space station and its occupants being in free-fall.)

A rocket is launched vertically from a launchpad on the surface of the Earth. The net acceleration (provided by the engines and gravity) is a₁ (known) and the burn lasts for t₁ seconds (known). Ignoring air resistance calculate:

a) The speed of the rocket at the end of the burn cycle.

b) The height of the rocket when the burn stops.

The main (now empty) fuel tank detaches from the rocket. The rocket is still propelled with the same acceleration as before due to the secondary fuel tank.

c) Calculate how long it takes for the main tank to fall back to the ocean back on the surface of the Earth in order to be recovered for next use.

d) Calculate the height of the rocket at the time when the tank hits the ocean.

e) At the time the main tank hits the ocean the secondary fuel tank runs out of fuel. Calculate the maximum height above the surface of the Earth that is reached by the rocket.

Within the disc of gas and dust that surrounded the protoSun there was a radial temperature gradient outwards to the edge of the disc. Describe the sequence of events that led to the beginning of planet formation (i.e. when planetary embryos were colliding). and the effect the temperature gradient had on this process. (About 150 words)

A cameraman on a pickup truck is traveling westward at 23 km/h while he videotapes a cheetah that is moving westward 23 km/h faster than the truck. Suddenly, the cheetah stops, turns, and then run at 48 km/h eastward, as measured by a suddenly nervous crew member who stands alongside the cheetah's path. The change in the animal's velocity takes 2.2 s. What are the (a) magnitude and (b) direction of the animal’s acceleration according to the cameraman and the (c) magnitude and (d) direction according to the nervous crew member?

1. A)how would parallax effect a measurement

1. B) Give several instances when error can be introduced while making a measurement.

1.C) Elaborate on the statement that "all measurements have a degree of uncertainty".

A proton with a velocity V = (2.00 m / s) i - (4.00 m / s) j - (1.00 m / s) k, a B = (1.00 T) i + (2.00 T) j- (1.00 T) k it moves within the magnetic field. What is the magnitude of the magnetic force (Fe) acting on the particle? (Qproton = 1.6x10-19 C)

A tuna with a mass of 100kg swims at a level depth of 20m below the surface of the sea.

1) Draw a free body diagram for the tuna.

2) Calculate the buoyant force on the tuna, and with that the tuna’s volume.

3) Some fish are able change their volume in order to move up and down by inflating a specilized organ within them called a swim bladder. Calculate how much the volume of the tuna must be changed in order for the buoyant force to grow by 30N.

4) By modeling the tuna as a spherical object, estimate the resultant upward terminal velocity of the tuna in this case

**Please answer this to the best of your ability, I've been having a lot of trouble with it

Electric Potential (Parallel Plate Capacitor Potential Energy and Potential)

A parallel plate capacitor has two terminals, one (+) and the other (-). When you move a test positive charge, q at uniform velocity from the negative terminal (Ui and Vi) to the positive terminal (Uf and Vf), work W = ΔU = qΔV is done on the charge, increasing the energy of the field by this amount. The work done by the field on the charge is – W. (V = U/q, all have their usual meaning)

QUESTIONS on the above observations:

(i) What is the work done to move a negative charge, q at uniform velocity from the positive to the negative terminal? Increasing the potential energy, a push (work) is needed to move the object.

(ii) Which terminal is the high potential for the plus charge?

(iii) Which terminal is the high potential for the negative charge?

(iv) If you do work 1.0 eV to move a proton from the negative to the positive terminal of a capacitor, how much work will you do to move an electron in the exact same manner from the positive the negative terminal of the same capacitor?

(v) What is the potential difference across the above capacitor?

Consider a flat expanding universe with no cosmological constant and no curvature (k=0 in the Einstein equations). Show that if the Universe is made of "dust", so the energy density scales like 1/a^3, then the scale factor, a(t), grows as t^(2/3). Show if it is made of radiation (so the energy density scales as 1/a^4 -- the extra factor of a comes from the redshift), then it grows as t^(1/2). In both cases, show that for early times, the scale factor grows faster than light. Is this a problem?

A puma leaps from one cliff ledge to another, the second ledge leapt to is 0.7m higher than the first, as well as 2.4m further along the cliff. (10)

1) Calculate the velocity with which the puma must take off in order to barely reach the second ledge.

2) If the puma weighs 50kg, calculate the impulse that the puma exerts on the first ledge in order to make this jump.

3) If the maximum force exerted by any one of the puma legs is 60N, calculate the minimum time which the puma's feet must spend in contact with the first ledge.