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The slope m of the line through the points (x1, y1) and (x 2, y 2) is given by
With the dawn of the Internet, the birth of Internet slang, and the growing use of SMS, many of us are starting to forget the fundamental aspects of English punctuation. Would you like to write a great paper for one of your classes or submit a polished, impeccably-written proposal to your boss? If so, proper punctuation usage is a must. Consider the following rules to get started! More...
If you want to be understood, and if you want your ideas to spread, you need to use effective language. In the modern world of business and politics, imprecise language is used intentionally to avoid taking a position and offending various demographics. No wonder it’s hard to make sense of anything!
This is hardly a recent problem, and George Orwell, a famous English writer, wrote in his 1946 essay, Politics and the English Language, that there are 5 rules for effective writing: More...
A force is a push or pull upon an object resulting from the object's interaction with another object. Whenever there is an interaction between two objects, there is a force upon each of the objects. When the interaction ceases, the two objects no longer experience the force. Forces only exist as a result of an interaction.
All forces (interactions) between objects can be placed into two broad categories: More...
Also known as Newton's first law of motion, the law of inertia states that:
An object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction (ie, same velocity) unless acted upon by an unbalanced force.
Inertia is the tendency of an object to resist changes in its velocity.
More...All objects resist changes in their state of motion. All objects have inertia.
The tendency of an object to resist changes in its state of motion varies with mass.
The more inertia that an object has, the more mass that it has. A more massive object has a greater tendency to resist changes in its state of motion.
Suppose that there are two seemingly identical bricks at rest. Yet one brick consists of mortar and the other brick consists of Styrofoam. Without lifting the bricks, you could give the bricks an identical push in an effort to change their state of motion. The brick that offers the least resistance is the brick with the least inertia - and therefore the brick with the least mass (i.e., the Styrofoam brick).
More...Speed is a scalar quantity that refers to "how fast an object is moving." Speed can be thought of as the rate at which an object covers distance.
Velocity is a vector quantity that refers to "the rate at which an object changes its position." Velocity can be thought of as the rate at which an object covers displacement. Imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. While this might result in a frenzy of activity, it would result in a zero velocity because this person has had 0 displacement.
More...Newton's third law is: For every action, there is an equal and opposite reaction.
A force is a push or a pull that acts upon an object as a results of its interaction with another object. Forces result from interactions! Some forces result from contact interactions and other forces are the result of action-at-a-distance interactions.
According to Newton, whenever objects A and B interact with each other, they exert forces upon each other. When you sit in your chair, your body exerts a downward force on the chair and the chair exerts an upward force on your body. There are two forces resulting from this interaction - a force on the chair and a force on your body. These two forces are called action and reaction forces and are the subject of Newton's third law of motion.
More...Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
Suppose you walks 4 meters East, 2 meters South, 4 meters West, and finally 2 meters North. Even though you have walked a total distance of 12 meters, your displacement is 0 meters.
More...Scalars are quantities that are fully described by a magnitude (or numerical value) alone.
Vectors are quantities that are fully described by both a magnitude (or numerical value) and a direction. For example, More...
