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Paven N.
I am a mechanical technician with a mechanical engineering degree
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Physics (Electricity and Magnetism)
TutorMe
Question:

Each of the protons in a particle beam has a kinetic energy of. What are the magnitude and direction of the electric field that will stop these protons at a distance of 2 m?

Paven N.

To stop the proton the direction of the electric field should be opposite to the direction of the beam. To find the magnitude of electric field we need to write down the energy conservation: the initial energy ( K ) of the proton should be equal to the work done by an electric field: K = eEd Where . From this equation we can find electric field: E = K/ed = (4*10^-15) / ( {1.6*10^-19} *2 ) = 12500 N/C

Linear Algebra
TutorMe
Question:

Solve the following system of linear equations using Gauss-Jordan elimination. 6x + 8y + 6z +3w = -3 6x - 8y + 6z - 3w = 3 8y - 6w = 6

Paven N.

A = { 6 8 6 3 | -3 } A ---> R2-R1 --> R1 - R3 --> R2 + 2R3 --> 1/3R1, -1/18R2, 1/4 R3 { 6 -8 6 -3 | 3 } --> R1 - 3R2 --> R3 + 3R2 --> 1/2R1, 1/4R3 --> R3 <->R3 { 0 8 0 -6 | 6 } Then you are left with a simplified linear equations x + Z = 0 y = 0 w = -1 let z = t be a free variable. Then the solution is (x,y,z,w) = (-t,0,t,-1) for any number t

Mechanical Engineering
TutorMe
Question:

The inner and outer surface temperatures of a glass window 5 mm thick are 15 and 5°C, respectively. What is the heat loss through a window that is 1 m by 3 m on a side? The thermal conductivity of glass is 1.4 W/mK.

Paven N.

Q = (15-5) C . (3 m^2) / (0.005 m^2) = 8400 W

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