Monday, October 3, 2016

Newton's Laws


Newton’s Laws

Image result

https://en.wikipedia.org/wiki/Isaac_Newton

Ever wonder why things happen the way they do? Sir Isaac Newton developed three major laws of motion that explain things that are so relevant in our daily lives.  These laws began the development of astrophysics and the understanding that physical laws applied on Earth can also be applied to the entire universe.  Additionally, Newton delivered the final goodbye to the geocentric (Earth-centered) model, and the heliocentric (Sun-centered) model became the official model of the solar system.  Most importantly, however, is Newton’s creation of the Universal Law of Gravitation.


So what are these amazing laws and why are they so relevant?

Newton’s Laws of Motion

First Law:
When there is no other force acting on an object, objects in motion stay in motion, in the same direction and at the same speed, and objects at rest stay at rest.


In other words, if you were to remove all forces on Earth and roll a bowling ball on an infinitely long alley, it would continue rolling forever in a straight line in the direction it was rolled in.  However, this is not what we actually see happen because of other external forces like air resistance and friction, or other objects, stop the ball.  A bowling alley is not long enough to witness the eventual decrease in speed (unless it is rolled extremely slowly with low force), but you do witness the stopping of the bowling ball after it hits the pins.

Bowling Alley 376


Perhaps a better example that everyone understands would be something that happens each morning.  When your alarm goes off, you know it’s time to get out of bed, but do you actually?  Of course not!  But don’t blame yourself, blame Newton’s first law! When you hear your alarm, you are at rest, and your body will stay that way until you exhibit a force on yourself to get up.  Looking at it in a more positive way, all it takes to start the process of getting up is to start the motion off your bed because the rest of your body will follow until you are stopped by the floor.


Hopefully now the phrase ‘roll out of bed’ makes complete sense!

Second Law:
Force = mass x acceleration (F = ma)

This law explains the relationship between an object’s acceleration given a specific mass and force acted upon it.  For example, it is easier to throw something small and light versus something large and heavy across the distance of a room.  The difference is the mass of the two objects, but if you were to use the same amount of force to throw both objects, the lighter object would accelerate more than the heavier object. 


This law is the reason why your friends will happily pass you a pencil, but will give you a dirty look if you ask them to hand you your heavy textbook.  The textbook is a much heavier mass and therefore requires more effort from your friend (more force) to make sure it gets to you.

Third Law:
Every force is paired with another force with an equal and opposite reaction.

This law explains why, for example, we don’t go crashing through the ground with each step you take because the downward force you exert on the ground is met by an equal upward force.  However, we have to remember that even though forces are equal, they can act on objects with different masses, which is why motion still exists. 


This is also why a little kid that has very little mass only bounces in the air so high when they jump on a trampoline compared to if they were to jump at the same time as an adult.  Together, if they jump closely to each other, the kid and adult would create a larger mass and net force, which would result in a greater acceleration for the kid.



Newton and Astronomy

While these are a few examples that show how applicable Newton’s Laws of Motion are to things in our daily lives, we can’t forget that they are highly relevant to astronomical ideas as well.

Image result for Earth's orbit 



Newton’s First Law explains why Earth, for example, is in a constant state of motion and will continue it’s orbital motion until another object hits it, or becomes near enough for another object’s gravitation force to change it’s path.




Newton’s Second Law explains why larger planets, like Jupiter, that have larger masses and exert greater gravitation forces accelerate objects around them more.  For example, as a result of Jupiter’s large mass and strong gravitational forces, it can change the orbital paths of objects around it, which is exactly what happened to the Comet Shoemaker – Levy 9.  As the comet was passing nearby, Jupiter’s gravitational pull caused the comet to collide with it, which created an observable impact on the planet.



rocket-launch



Finally, Newton’s Third Law explains why it is possible for objects like rockets to be launched into space because the downward force onto the ground forces the rocket up.
 https://compastro.wordpress.com/rocket/




Gravity: Fg = G (M1M2/d2)

Finally, the force that we live with 24/7: gravity! As seen in the equation, gravity depends on the mass of the two objects involved and the distance between them.  The force of gravity is stronger as mass increases and is weaker as distance increases.  This is why Jupiter, which has a large mass, has a stronger gravitational force compared to Earth.  


Force of Attraction



http://formulas.tutorvista.com/physics/force-of-attraction-formula.html



Of course, gravity is also the reason why when we let go of an object it drops to the ground, or continuing the example from earlier, if you were to actually ‘roll out of bed,’ you would fall to the ground; but gravity can be applied to the astronomical universe as well.  It is particularly important in understanding the paths of planetary orbits.  Why do they orbit the way they do? The simple answer is because of gravity.  The gravitational pull of the Sun keeps the planets in their bounded orbital paths, and the amount of time it takes for planets to complete a full orbit is related to the planet’s mass and distance from the Sun, in addition to it’s own gravitational pull. 



It is clear how influential Newton was, and continues to be, in the study of our universe.  From ‘basic’ laws of motion to gravity, we now have a better understanding of the world we live in thanks to Newton.

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