In: Physics
3 moles of an ideal gas with 2 atoms under 308 K temperature and 5 atm are expanded reversible to 1 atm end pressure. Calculate w, q, ΔU, ΔH values in case of expansion of this expansion by isothermal and adiabatic way.
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A block with mass 0.460 kg sits at rest on a light but not long vertical spring that has spring constant 85.0 N/m and one end on the floor.
a)How much elastic potential energy is stored in the spring when the block is sitting at rest on it?
b) A second identical block is dropped onto the first from a height of 4.10 mm above the first block and sticks to it. What is the maximum elastic potential energy stored in the spring during the motion of the blocks after the collision?
c)What is the maximum distance the first block moves down after the second block has landed on it?
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Two metal spheres of identical mass m = 3.60 g are suspended by light strings 0.500 m in length. The left-hand sphere carries a charge of 0.765 µC, and the right-hand sphere carries a charge of 1.61 µC. What is the equilibrium separation between the centers of the two spheres?
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At time t = 11.5 sec, a particle of mass M = 5 kg is at the position (x,y,z) = (4,4,6) m and has velocity (2,1,-2) m/s.
1) What is the x component of the particle's angular momentum about the origin?
Answer: -70 kg m2
2) What is the y component of the particle's angular momentum about the origin?
Answer:100 kg m2
3) What is the z component of the particle's angular momentum about the origin?
Answer: -20 kg m2
4) Now an identical particle is placed at (x,y,z) = (-4,-4,-6) m, with velocity (-2,-1,2) m/s. What is the x component of the pair's total angular momentum about the origin?
Answer: -140 kg m2
5) What is the y component of the pair's total angular momentum about the origin?
Answer: 200 kg m2
6) What is the z component of the pairs's total angular momentum about the origin?
Answer: -40 kg m2
7) Finally a thin rod of mass 11 kg is added between the two particles Since the particles are moving perpendicular to the line separating them and in opposite directions (you should convince yourself that this is true), then the particles + rod system rotates about its center of mass. What the angular frequency of rotation of the rod + particles system? (Note: The particles are moving perpendicular to the line separating them and in opposite directions (you should convince yourself that this is true), then the particles + rod system rotates about its center of mass.)
Answer: 0.364 rad/sec
8) What is the magnitude of the total angular momentum of the system (particles plus rod)?
Please solve number 8!
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A hydrostatic system consists of 0.1 moles of an ideal gas whose
specific heat capacity at constant volume, ??, is equal to 3?2
where R is the gas constant equal to 8.31 J mol–1 K–1. Its initial
pressure and volume are 32 Pa and 8 m3. In its final state, the
pressure is just 1 Pa and its volume increases eightfold. The
particular thermodynamic process can be represented on an indicator
diagram as a straight line joining the initial and final
states.
(a) Determine a relationship between the pressure and the volume of
the gas that represents the thermodynamic process.
(b) Establish a relationship between the temperature and the volume
of the gas valid for the thermodynamic process.
(c) Determine the volume of the gas when the temperature is a
maximum.
(d) Determine the temperature of the gas at the initial and final
states, and the maximum temperature attained by the gas in the
process.
(e) Imagine that the gas, while following the thermodynamic process
outlined above, is at some arbitrary state such that its volume is
V. This state is somewhere between the initial and final states.
Determine the heat exchange that occurs while the gas is traversing
(along the process) from the initial to the arbitrary state. Your
expression should be a function of V only.
(f) With reference to part (e), determine that volume which
corresponds to maximum heat exchange. Hence determine the
corresponding temperature.
In: Physics
1 - The plates of a spherical capacitor have radii of 38.9 mm and 40.2 mm.
(i) Calculate the capacitance. (in F)
(ii) What must be the plate area of a parallel-plate capacitor with the same plate separation and capacitance? (in cm^2)
______________
2 - Now in another experiment, The plates of a spherical capacitor have radii of 37.6 mm and 43.6 mm.
i) Calculate the capacitance. (in F)?
(ii) What must be the plate area of a parallel-plate capacitor with the same plate separation and capacitance?(in cm^2)
In: Physics
What happens to the observer's local night sky as the observer's latitude gradually changes:
A. from the equator gradually towards the north pole
B. as local time passes from sunset to sunrise?
C. as local time passes over the course of several weeks and months?
In: Physics
6. A one-dimensional diatomic crystal contains 2 different atoms with masses ?1 and ?2, with ?1< ?2, in each of its unit cell. Assume that there is interaction between every nearest neighbor atoms that can represented by a spring with spring constant ?. Derive the phonon frequency dispersion relation ?(?) of the crystal. Indicate which one is the acoustic branch and which one is the optical branch.
In: Physics
A 2 km diameter thunderstorm produces 4.2 cm of rainfall in 4 hours. What is the power production from latent heat of condensation of this storm, in megawatts? A megawatt is a million watts and the average coal-fired plant in the US produces 677 megawatts.
In: Physics
What is PET— what kind of image does it create and how?
Why use PET with CT rather than CT alone? Give the main reason/application.
What sort of radiation is involved? Is PET “perfectly safe”? If not, what are the dangers?
In: Physics
why the longer the distance a force is applied from the fulcrum the greater the output force. I want to know how this works exactly and how does a larger distance affects the amount if work done by the force. does it has to do with the input force traveling longer vertically some how creating a greater output? So far I've just gotten very general information I hope you can help me to understand this more deeply thank you.
In: Physics
You observe a binary system and see Doppler shifts in the Hβ lines from the two stars of 0.02 nm and 0.05 nm respectively. Patient observations show that the period is 22 years. If the system is inclined by 60◦ , what are the masses of the two stars?
In: Physics
A lion spots a gazelle exposed on the plain. The gazelle is 35m from the bear, at a compass heading of 230 degrees. 5m from the gazelle, at a heading of 190 degrees, is the gazelle's herd. The top speed of the lion is 10m/s with a maximum acceleration of 5m/s^2 . The speed of the gazelle is 0.9m/s, and it is assumed that it is already moving at this speed. Starting from rest, will the lion be able to catch the gazelle before it reaches it's herd for safety?
*Please answer this to the best of your ability, I'm very confused about it.
In: Physics
Shooting down planes from the ground during WWII was difficult. A timed explosive is used because hitting a moving aircraft with a single shot from a cannon is nearly impossible; This explosive allows you to be less accurate. You are responsible for aiming and setting the timed fuses for anti aircraft battery (cannon). You fire a projectile that is aerodynamic enough that you can ignore air resistance. The projectile leaves the barrel at 840m/s. Your target is at an altitude of 3000m and a horizontal distance of 4000m.
1.Find the flight time in algebraic expression.
2. At what angle above horizontal must you aim?
3.What does the delay need to be on the fuse?
In: Physics