Wednesday, February 11, 2009
hihi! haha.. physics freak.. if flawed pls don't correct me, i'm not really a professor in physics..
but this is just something i thought about.. just for fun.. also to give it to my friend to consider it..
Derivation of conservation of momentum..Newton's third law states:
every force has an equal and opposite reacting force
consider two balls colliding..
B1 -------><-----------B2 +ve ----->
B1 and B2
B1 initial velocity u1
mass m1
B2 initial velocity -u2
mass m2
by Newton's second law,
force by B1 onto B2 = m1 * a1
= m1 * (-v1-u1)/t, t being the time of impact
force by B2 onto B1 = m2 * a2
= m2 * (v2-(-u2))/t
= m2 * (v2 + u2)/t
by Newton's third law,
force by B1 onto B2 = force by B2 onto B1
m1 * (-v1-u1)/t = m2 * (v2+u2)/t
-m1v1 - m1u1 = m2v2 + m2u2
-m1v1 - m2v2 = -m1u1 - m2u2
m1v1 + m2v2 = m1u1 + m2u2
(note: since momentum is a non-directional, therefore we have to use -u2 and -v1 instead of u2 and v1.)
charles farewell was good, yet tired from work. spirit willing but flesh weak.. will miss him for about 2 years.. knew him for 4 years..
to charles.hi bro. we've known each other for 4 years, and i can safely say, you're the closest friend who knows me the best, my habits and my style, the principles and attitudes i stand on. and i believe that you've really grown a lot and changed over the years.. and its amazing what God has been doing in your life. stay strong and close to God during your trip in Australia. though i may not be physically there, i'm still there relationally for you.
yours truly,
victor
11:46 PM
CHC E441