## Massive Thought

April 12, 2013 by nolanmannski

I’m no physicist so I am fairly sure that the following is gobbldeygook, but the doodles I created when coming up with these thoughts kept me entertained during an extremely dull meeting.

Newton’s Second Law of Motion gives us the equation F=ma. This equation states that the force exerted on an object is the sum of the object’s mass times the object’s acceleration.

Einstein’s equation for mass-energy equivalence is E=mc^{2}. This equation states that the energy of a body at rest is the sum of its mass times the speed of light (*denoted by c*) squared.

Notice that both Newton’s equation and Einstein’s equation have mass in them.

Using some simple math (*mainly by dividing both sides of each equation by* m), one can modify both equation so that the mass part is all alone. Doing this gives us…

m = F / a : The mass of an object is equal to the force exerted on it divided by its acceleration

and

m = E / c^{2} : The mass of an object is equal to the energy of that object divided by the speed of light squared.

Since m=m, I can substitute F/a (*which is equal to* m) in the second equation to give us…

F / a = E / c^{2}

Now, when two fractions are equal, it follows that the denominator of the right-hand fraction can be multiplied by the numerator of the left-hand fraction. This sum is equal to the sum of the denominator of the left-hand fraction times the numerator of the right-hand fraction. In other words…

If a / b = y / z, then az = by.

With the above equation being true, then it follows that if F / a = E / c^{2}, then…

Fc^{2} = Ea

What the above means is that the energy of an object times the acceleration of that object is equal to the speed of light squared times the force exerted upon that object.

I have no idea what that means, but it sure does sound cool.

### Like this:

Like Loading...

*Related*

## Leave a Reply