Are conservation laws correct!

case - In an isolated system, a 5 kg ball 'A'  with 10 m/s velocity is made to hit a 10 kg ball 'B' at rest. After collision the balls move together in the same direction .The plane and the balls are friction less and there is vacuum in the system( zero drag).

According to conservation of energy:
 Total energy after collision = Total energy of the system initially 
                                         =  energy of ball A + energy of ball B 
                                         = 1/2 mv*v  + 1/2 mv*v
                                         = (1/2 x 5kg x 10m/s x 10m/s) + (1/2 x 10kg x 0m/s x 0m/s)
                                        =  250 J  --------------( 1)

According to conservation of momentum:
     Total momentum of 2 balls before collision = Total momentum of balls after collision
=> mu(A) + mu(B)                       =   v[m(A) +m(B)]       { u = initial velocity ; v = final velocity of the balls}
=> 5kg x 10m/s + 10kg x 0m/s     =   v[5kg + 10kg]
=> 50kg m/s                                 =   v[15kg]                   
=> v                                             =   10/3 m/s

Now , Total energy after collision  = 1/2  * m(A+B)  * v * v
                                                    = 1/2  * (5kg +10kg)  *10/3 m/s  *10/3 m/s
                                                    = 83.33 J  --------------------(2)
(1) and (2) contradicts each other .

Hence either of the laws is wrong !

  

Finding roots of quadratic equations

As we know for a quadratic equation ax² + bx + c = 0 , where a is not = 0 , have many ways of solving them ( finding roots ), those methods include factorization (mid term splitting ) , completing squares and quadratic formula , now here is a method made by me for finding roots.
Take any quadratic Equation , for example
x² - x - 6 = 0
here a = 1 , b = -1 , x = -6
 α+ß = -b/a = 1
αß = c/a = -6

now
(α + ß )² = α² + ß² + 2αß
1 = α² + ß² - 12
α² + ß²  = 13

(α - ß)² = α² + ß² - 2αß
(α - ß)² = 13 + 12
α - ß = ±5

on subtracting the equations
Case 1 where α - ß = 5
(α + ß) - (α - ß) = 2ß = -4 , ß = -2 , so one root of the polynomial is -2 , α - 2 = 1 , α = 3 , this is another root .
Case2 where α - ß = -5
(α + ß) - (α - ß) = 2ß = 6 , ß = 3 , so one root of the polynomial is 3 , α + 3 = 1 , α = -2 , this is another root . so if we take any one case , we will get the roots of the polynomial

White holes

White holes, unlike their black hole neighbors, have not been studied because they only exist in an extremely hypothetical situation. In fact, there’s not even a clear understanding what a white hole could be. Is it the other end of a black hole? Is it a wormhole? Is it something else entirely?
Generally, white holes are thought to spit out matter, much like black holes eat matter. For this to happen, the matter that passes through a black hole would have to be protected during the voyage, avoiding the process of merging into singularity. No white holes have ever been detected, up to this point, and no black holes have been seen without an event horizon (the guarding force around a black hole that prevents us from seeing them) that may show us just how matter passes through. To do that, white holes would have to break a few laws of physics and reinstitute some ideas that have been discarded; that’s asking a lot. Until then, white holes are best left for hypothetical ideas or naughty jokes.

Amazing Facts

• A strong jet stream can add or subtract microseconds from a day
• Amyotrophic lateral sclerosis is an illness that only 4 % of the people that have it live for more than 10 years. However, Stephan Hawking has survived for over 50 years with it! Making him one of the strongest human beings around.
• For over 150 years, scientists have known that fires can be extinguished with sound waves, but they still don't know how

Coal Ash Is More Radioactive than Nuclear Waste

• By burning away all the pesky carbon and other impurities, coal power plants produce heaps of radiation
• Neurologist Oliver Sacks reported a case of a man whose perception of time was so radically skewed that it took him several hours to wipe his nose, even though he felt like he was doing it at a normal rate.
• Although you might not want to leave your protective gear(helmet) at home, just know that if you do, drivers will be a lot more scared of hitting you.

Protein TITIN

Titin is the biggest protein found till now and it's scientific name is 189,819 letters long.  189,819 letters long.

It can't be posted in the blog and so check out this link below:-

http://www.sarahmcculloch.com/luminary-uprise/2009/longest-word/

 It's only a single word!!!

You wont be able read the full of it as it is sooooooooo long!!