Friday, December 10, 2010

Feeling.... energetic : D


  1.  Kinetic Energy is energy that is in motion. Moving water and wind are good examples of kinetic energy. Electricity is also kinetic energy because even though you can't see it happen, electricity involves electrons moving in conductors.
  2. Potential Energy is stored energy. Examples of potential energy are oil sitting in a barrel, or water in a lake in the mountains. This energy is referred to as potential energy, because if it were released, it would do a lot of work. Energy can change from one form to another. A good example is a Roller Coaster. When it is on its way up, it is using kinetic energy since the energy is in motion. When it reaches the top it has potential (or stored) energy. When it goes down the hill it is using kinetic energy again.
  3. Mechanical Energy is the energy of motion that does the work. An example of mechanical energy is the wind as it turns a windmill.
  4. Heat energy is energy that is pushed into motion by using heat. An example is a fire in your fireplace.
  5. Chemical Energy is energy caused by chemical reactions. A good example of chemical energy is food when it is cooked.
  6.  
  7. Electrical Energy is when electricity creates motion, light or heat. An example of electrical energy is the electric coils on your stove.
  8. Gravitational Energy is motion that is caused by gravity. An example of gravitational energy is water flowing down a waterfall.
  9. Nuclear Energy: Certain elements have potential nuclear energy, such that there are internal forces pent up on their nucleus. When that potential energy is released, the result is kinetic energy in the form of rapidly moving particles, heat and radiation.
  10.  
  11. Light is the movement of waves and/or light particles (photons). It is usually formed when atoms gain so much kinetic energy from being heated that they give off radiation. This is often from electrons jumping orbits and emitting moving photons.
  12. Sound Energy: Sound waves are compression waves associated with the potential and kinetic energy of air molecules. When an object moves quickly, for example the head of drum, it compresses the air nearby, giving that air potential energy. That air then expands, transforming the potential energy into kinetic energy (moving air). The moving air then pushes on and compresses other air, and so on down the chain. A nice way to think of sound waves is as "shimmering air".
     
     

ready the CANNONS... FIRE IN THE HOLEEE~!

Cannons first appeared way back in the 14th century in Europe. Through times people developed and advanced the design of cannons and today, cannons are still widely in use for military purposes. The thing that makes cannons so effective is that it is able to fire heavy explosive while giving it incredible speed. Referencing Newton's second law of F=ma, we know that Cannons fire with huge amount of force.
This is M242 25mm Bushmaster Auto Cannon














The image above is the M242 25mm caliber Bushmaster Auto cannon. It is developed and utilized by the U.S. military. This cannon is possibly the most advanced and destructive one in the world. It fires with incredible precision and it can cause severe destruction to the enemy.

To maximize the horizontal distance of the cannon ball, there is a couple factors that needs to considered. First, the angle of the cannon should be 45 degrees to the ground. This will enable more air time therefore more distance for the cannon ball. Secondly, the height of the starting point for the cannon ball needs to be as high as possible. This, too, will give the cannon ball more air time and more horizontal distance.

Thursday, December 9, 2010

The various problems of Mr. Newton

 Equilibrium occurs when the object has no acceleration.
Assumptions
- No friction  
- a= 0
FBD of an Equilibium
  
In this type of equilibrium, all the forces cancel out each other therefore there is no acceleration present. 
For this type of equilibrium questions, it can be solved using a method very similar to vector components.


Inclines:
There are two types of Incline questions, kinetic and friction.
Kinetic:
In most of the kinetic incline questions we've studied, the mass is either sliding down or moving up. This gives it an acceleration. There is no Y acceleration because the object is not moving up and down as it slides on the incline plane.
assumptions:

Assumptions
- fk = µkFn
- a ≠ 0, ay = 0
- +ve in the direction of a
- no air resistance


The important thing to remember for this type of questions is to break mg into its x and y component. Because we know that there is no Y acceleration, therefore FN=mgy. For X, there are a couple of things that we need to take into consideration of. There are friction, and force gx, sometimes force applied. Fxnet = Fgx-Ff

 Friction:
For friction questions, the mass is staying still, which means that a = 0.


Assumptions
- fs = µFn
- a = 0
- +ve axes in the direction of decline
- no air resistance



The trick to this question is that the acceleration equals to zero, which sort of resembles equilibrium except with friction. You would have to split the mg into its x and y component just like the kinetic problems. Fn - Fgy = 0, Ff-Fgx=0

 Pulleys:
Assumptions
- frictionless pulleys + rope
- no air resistance
- multiple FBDs
- +ve in the direction of a
- T1 = T2
- a of the system is the same

  Static pulley  system  (fap2.gif)  Free body diagram  (fap3.gif) Free body diagram  (fap4.gif)
The kind of pulleys we have studied is fixed to a frame. The trick to remember for this question is that the tension between the two strings are the same. Therefore, if we find the equation for tension for both of the strings, we can set them equal to each other and find the missing variable.


Trains:
Bacially, it's pulleys, but sideways.

Assumptions
- fk = µkFn
- a ≠ 0, ay = 0
- +ve in the direction of a
- no air resistance
 

The yellow blocks are in a train system while the blue is in a pulley system.
The acceleration in a train system is always assumed to be the same between the masses.