The First Examination Aftermath...
Consider a vacuum system consisting of a cookie as shown below.
a) When an object called examinations is added to the system, calculate the energy increase of the cookie. (3 marks)
Let the energy of the system be E.
As the object is a great source of stress, the pressure on the system increases.
Stress = Pressure = F/A
Where F = Force exerted by the object, examinations
A = Surface area of the cookie.
Since work done = Force x distance,
hence increase in energy of the system, ΔE = F × A × Distance travelled.
Distance travelled cannot be measured within the system since the boundary of the system is arbitrary, and it is not stated from which point the object was being placed in the system. Thus, the assumption would be that the object was placed directly above the cookie, neglecting any kinetic energy the object might have obtained. Thus, only the change in height of the cookie due to the compression would be accounted as distance travelled.
Let the compressed height of the cookie be δz.
Hence, ΔE = F × A × δz.
b) Assuming that the massless object, examinations, does not exert any pressure on the cookie and is weightless in an ideal situation.
If the object, examinations, has a heat generation of 50 MW, determine the temperature of the system after an 2 hours 30 minutes. Assume that the system is a closed system. Mass of cookie, m = 50g, Specific heat of the cookie, c = 10,000 J/kgK. (3 marks)
Time conversion: 2 hours 30 minutes = 2 × 3600 + 30 × 30 = 8100 s
Hence, total energy generated by object, Ė = 50 MW × 8100 s = 400.5 GJ
Assuming that no energy is lost via radiation in the vacuum system, by principle of conservation of energy:
Energy generated, Ė = energy absorbed by cookie = mcΔθ
Therefore, Δθ = Ė/mc = 400.5 GJ/( 0.050 × 10,000 ) = 810000000 K
c) Comment on the stability of the system and practical aspects of such a system. (3 marks)
On stability: Such a system would be very unstable due to the high amount of energy. Any attempt to store such a cookie with the object, examinations, would be futile as no material could currently handle such an object.
On practicality: Such a system would be appropriate in replacing the nuclear bomb as the energy of the cookie is equivalent to such bombs. Moreover, upon explosion, the particles are biodegradable and would not have any radioactive effects on the surrounding environment for over 10 years and a radius of a few hundred kilometers.
Conclusion: If you thought this was a whole lot of crap, that was exactly how I felt towards my paper today where only 9 pathetic marks was awarded to formation of a 6 by 6 global matrix [K] which took at least 30 minutes. And guess what? I actually blogged in less than 30 minutes!
2 Comments:
As a reader of your blog, I'm frequently entertained by what you have in store for me.
As your friend, I'm a little concerned about your mental well-being if all you think of all day is how much you hate your major.
I hope you pass this phase quickly, as I did.
All the best.
Haha, thanks for your concern. Don't worry... ranting is an avenue in which I release all negative feelings towards my major. And in doing so, it eases any mental stress =) Now's the examinations period, and hence the increased ranting. That's why I'm ranting more now. =)
FYI this phase would end in about 6 more months =)
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