Rewriting Newton's F=ma equation
Integrating force with displacement with suitable substitutions.(With some maths help from a website)
Integrating the substitutions
And finally, eliminating the kinetic energy, deriving the energy of a body at rest, E=mc^2!!
Labels: Ownage
Working on kinematics
More kinematics
A failed attempt to derive mass-energy equivalence as seen by the weird expression i derived followed by the question marks. lol
Experimenting with gravity
Deriving time dilation equations
You may think of it as overly-enthu mugging. I think of it as discovering how the universe works^^
Reality check : Approx. 21 days to O level results. Holidays are going to end real soon, its back to work guys. Well, I'm currently feeling quite worried about my results and I've been looking back about how I did for each paper. Most of the time, I've been very pessimistic and well, I keep thinking that I didnt do well for the humanities. Maybe we should just leave that to fate. At the same time, I really can't wait for the results to be released and meet my friends in January. I WANT RESULTS!!
I went to watch the movie 'Bodygaurds and Assassins' a few days ago with my classmates it was epic and I found it really interesting. On the same day, we were discussing about our goals for the future, specifically, which course we are taking in university if we manage to enter it. For me, I am a hundred percent sure that Physics is my cup of tea. The problem is: What do I work as after getting that degree? I want to do something more interesting than teaching. Probably do research in the field of Physics. When I scanned the ASTAR website for jobs related to Physics, most of them needed a degree in Material Sciences which I am not sure whether I should pursue or not. God pls help me. Seriously have no idea what to work as in future. Any suggestions?
My trip to Sabah just ended. 4 wonderful days breezed by so quickly. Now back to the everyday routine of waking up, eat, pray, play & sleep. Haiz. I feel so fat and unhealthy just slacking at home all day. I rarely do any physical work. hmmm maybe should start soon; tomorrow. I bought lots of clothing from Sabah. Hopefully that will gimme a new look and a better wardrobe^^. The food there was good and a wider variety of food were available to Muslims like myself. I spammed quite a lot. To the extent of getting diarrhoea on one day. hah.
I realised that nowadays, for some weird reason, I keep pondering about many random things that come across my mind that have to do with physics and the equations that describe the phenomena. Sometimes its things like how to derive the area of a circle xD I guess I just want to know how things work, in detail. I'm looking forward to going out with my friends and relatives. I'm sick and bored at home. Chionging maple everyday is meaningless and unhealthy mentally and physically.
I have recently done some research on the Polar coordinate system which I have discovered by accident while surfing Wiki. Its just another mathematical graphing system like the Cartesian coordinate system that we studied for the Os. The difference between the two is that a point in a polar coordinate system is defined by the distance from the origin and the angle of inclination from the x-axis of the line that connects the point and the origin while the point in the cartesian system is defined by the distance from the x axis and y axis. You may say, "what the heck is wrong with you? Mugging maths after O levels?", yea I know its weird but i can see the beauty and significance of the graphs that are sketched out from the system. Recently I have derived a very beautiful equation(in my point of view) from the equations of motion I read in Newtonian mechanics in my H2 phy txtbk. The equation looks like this:
,This equation from wiki is exactly the same as the one i derived^^ I'm so glad.
This equation describes the trajectory of a particle or a ball when thrown at an initial speed v, inclined to the horizontal at an angle 'theta' and affected by earth's gravity with gravitational field strength 'g' . Just seeing this equation isn't satisfying enough for me. Usually I would use graphmatica to plot out the graph for me and voila!, it shows the trajectory of an object affected by the constants that I have set randomly. Imagine, everyday phenomena summed up by an elegant mathematical equation. Cool xD. There is one polar coordinate graph that astounded me the most. The polar equation looks like this:
where r is the distance of the point from the centre, u can call it radius
thetha is the angle of inclination
The graph that appears when you plot it is what they call a logarithmic spiral
See the beauty of that simple equation now?
Well sometimes I wonder, did God create the universe with his own set of divine equations? Based on what I know about Physics and Mathematics, I really think so.
Rewriting Newton's F=ma equation
Integrating force with displacement with suitable substitutions.(With some maths help from a website)
Integrating the substitutions
And finally, eliminating the kinetic energy, deriving the energy of a body at rest, E=mc^2!!
