The electrons in a cathode ray tube are emitted by a hot filament cathode and are accelerated by an electric field applied between the cathode and two orthogonal pairs of parallel plate electrodes. The beam passes through the gap between the electrodes and can be deflected up and down, or left and right if the parallel plates are appropriately biased. As the electrons pass through the electrodes, their kinetic energy increases. Assume the electrons are emitted from the cathode with a thermal velocity corresponding to a temperature of 3000 °C, are accelerated through a potential of 5000 V over a distance of 10 mm and then travel horizontally over a distance of 200 mm before they are collected on the phosphor-coated surface of the display screen. (a) Write the equation of motion for the electrons. Assume the electric field acts only in the x-direction between the cathode and the plates. (b) Calculate the velocity of the electrons after they have been electrostatically accelerated. (c) Calculate the downward deflection of the electrons over the 200 mm gap caused by the gravitational force acting in the negative y-direction. Use Vthermal = (8kT/pi*m)1/2 where m is the mass of the electron.
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Two 2.0-cm-diameter insulating spheres have a 5.60 cm space between them. One sphere is charged to + 40.0 nC , the other to - 60.0 nC .
Part A
What is the electric field strength at the midpoint between the two spheres?
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Pendulum Lab.. List each measurement name, a representative value [Units] ± σ with explanation. Your two measurements were Length and Period.
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Consider a particle in an infinite square well, but instead of having the well from 0 to L as we have done in the past, it is now centered at 0 and the walls are at x = −L/2 and x = L/2.
(a) Draw the first four energy eigenstates of this well.
(b) Write the eigenfunctions for each of these eigenstates.
(c) What are the energy eigenvalues for this system?
(d) Can you find a general expression for the energy eigenstates for this well? (Hint: you should have a different form for even and odd solutions) (e) If instead, the well were from x = −L to x = L, how would these expressions change? Would the energy eigenvalues change? (And if so, how?)
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A satellite is put into an elliptical orbit around the Earth. When the satellite is at its perigee, its nearest point to the Earth, its height above the ground is hp=215.0 km,hp=215.0 km, and it is moving with a speed of vp=8.450 km/s.vp=8.450 km/s. The gravitational constant GG equals 6.67×10−11 m3⋅kg−1⋅s−26.67×10−11 m3·kg−1·s−2 and the mass of Earth equals 5.972×1024 kg.5.972×1024 kg.
When the satellite reaches its apogee, at its farthest point from the Earth, what is its height haha above the ground?
For this problem, choose gravitational potential energy of the satellite to be 00 at an infinite distance from Earth.
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A lightning bolt strikes one end of a steel lightning rod, producing a 15300-A current burst that lasts for 67 μs . The rod is 2.5 m long and 2.3 cm in diameter, and its other end is connected to the ground by 38 m of 8.5-mm-diameter copper wire.
A) Find the potential difference between the top of the steel rod and the lower end of the copper wire during the current burst.
Express your answer using two significant figures.
B) Find the total energy deposited in the rod and wire by the current burst.
Express your answer using two significant figures.
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I can't really understand why two higgs doublets are required in SUSY.
From the literature, I have found opaque explanations that say something along the lines of: the superpotential W must be a holomorphic function of the chiral supermutiplets and thus we need to introduce another chiral supermutiplet.
I also know that this is somehow related to an anomaly cancellation. Can somebody help to make this a bit more clear?
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A 8.0-cm-diameter horizontal pipe gradually narrows to 5.0 cm . When water flows through this pipe at a certain rate, the gauge pressure in these two sections is 31.0 kPa and 25.0 kPa , respectively. What is the volume rate of flow?
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A sled and rider have a total mass of 49.6 kg. They are on a snowy hill accelerating at 0.8g. The coefficient of kinetic friction between the sled and the snow is 0.22. What is the angle of the hill's slope measured upward from the horizontal? You may find a spreadsheet program helpful in answering this question.
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A 450-turn solenoid, 24 cm long, has a diameter of 2.2 cm . A 10-turn coil is wound tightly around the center of the solenoid. If the current in the solenoid increases uniformly from 0 to 2.9 A in 0.57 s , what will be the induced emf in the short coil during this time?
Please explain each step. Thanks!
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A skier starts from rest at the top of a hill that is inclined at 10.8° with respect to the horizontal. The hillside is 245 m long, and the coefficient of friction between snow and skis is 0.0750. At the bottom of the hill, the snow is level and the coefficient of friction is unchanged. How far does the skier glide along the horizontal portion of the snow before coming to rest?
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10-Two events occur at the same place in a frame S and are separated by a time interval of 1s. The same events are separated by a time interval of 4 s in frame S'. What is the spatial separation of the events in frame S'?
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Calculate the electric field(magnitude and direction) at the center of a square 52.5 cm on a side if one corner is occupied by a - 38.8 μC charge and the other three are occupied by - 27.6 μC charges.
answer is not 7.3*10^6 or 7.3*10^-7
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True or False, please answer only if you are sure:
A) The work done by a constant force acting on an object is
independent of the orientation of the force relative to the motion
of the object
B) The work done to raise a box onto a platform depends on how fast
it is raised. (Neglect friction, assume it starts on the ground at
rest, and ends up resting on the platform)
C) The kinetic energy of a moving object is always positive.
D) The kinetic energy of an object is independent of the direction
of the motion involved.
E) Work cannot be done in the absence of motion.
F) The work-energy principle is perfectly valid even when there are
frictional forces acting
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