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Consider 2 plasma streams in Keplerarian motion. At a scale large compared to their dimensions, can approx as 2 current loops that exert a torque on each other. If the Kep vel is perpendicular to the resultant B field, it is a constant of the motion, but the vel parallel to the field varies with the magnitude and duration of the torque. How would you represent the total velocity distribution in phase space?
In eight throws of a dice ,5 or 6 is considered success.Find mean number of successes and standard deviation.
I have a maths problem that I'm having difficulty solving for a literary work. I have an equilateral triangle with sides of 3 km. I already calculated the height to be 2.6 km roughly by Pythagoras's theorem and from there, I worked out the area to be 4 km/sq. I may have gotten these figures wrong so feel free to correct me. My problem is I'm trying to figure out how many rectangular sections of 50 meters by 25 meters I can divide the triangle into roughly. I understand that the shape means that not every section can be a rectangle but I'm just looking for a rough estimate. Thank you.
A three-stage space-division switch with N=120 is used in a switched network. There are 12 crossbars at the first and third stages and 4 crossbars at the middle stage.
i) Draw the configuration diagram.
ii) Calculate the total number of crosspoints.
iii) Find the possible number of simultaneous connections.
(1 marks)
iv) Find the possible number of simultaneous connections if we use one single crossbar (120x120).
v) Find the blocking factor in iii) .
c) Redesign the configuration in Q1b) using the Clos criteria. Find n, k, the total number of crosspoints, and draw the configuration diagram.
Three force F1 , F2, F3 act on a 5.00 kg object . The angle between F1 and F2 is 60 degree the angle between F2 and F3 is 30 degree .Taking F1 = 20.0 N and F2 = 15.0 and F3 = 10.0 N
A )- Find the magnitude and direction of the net force acting on the object ?
B)- Find the magnitude and direction of the acceleration of the object ?
The following table gives the distributions
of marks in a class of 65 students :
Marks No. of students
0 —4 10
4 — 8 12
8 —12 18
12 —16 10
16 —20 5
20 — 24 4
24 and above 6
Calculate mode and semi-inter quartile
range.(please include details)
A flat bottomed test tube of 200mm height and 10mm internal diameter stands on its
base. It initially contains a residue of a liquid solvent of depth 2mm, which is gradually
evaporating. The test tube is in an air filled chamber at atmospheric pressure and 27oC .
The chamber is large enough such that the concentration of the solvent in the chamber is
negligible. The molecular weight of the solvent is 32 . At 27oC the solvent’s vapour pressure is
19kPa , its liquid density is 780kg /m3 and its diffusivity in air is D = 1.2 x10−5 m2 / s
i) Neglecting variations in the height of the vapour column in the tube during
evaporation, determine how long it will take for the solvent to evaporate completely.
ii) The air pressure in the chamber is now doubled, with everything else remaining as
in part i). Determine how long it will now take for the solvent to evaporate completely.
iii) The temperature of the entire system is now raised significantly relative to the
conditions in part ii). what should happen to the solvent’s
evaporation time, and explain how this occurs by making use of the equation above.
A spring is compressed between two carts and is temporarily clamped so that the carts and spring move as a single unit. Initially, the carts move towards the right on a level surface with a velocity of 2.80 m/s. The masses of the the carts are 1.60 kg and 2.50 kg, on the left and right respectively. The mass of the spring is much smaller than that of either carts and can be neglected. At an certain instant, the clamp is suddenly released, and the carts separate, with cart, on the right, move to the right at 3.20 m/s.
1. Calculate the velocity of the cart, on the left, immediately after the decompression of the spring.
2. As a result of this interaction, do you expect the final total kinetic energy of the system to be equal to, greater than or less than the total initial kinetic energy?Explain your reasoning and support you reasons with relevant calculations.
3.Does this event described, invovles elastic collision? Explain your answer.
Two plane sheets of charge densities +6 and -6 are kept in air. What are electric field at point A and B?
When a negatively charged particle is placed in electric field, how much it will accelerate experience force? Also find distance in x and y direction?
