In physics, work is defined as the direct force acting on an object causing it to change its position or motion. Although both physical displacement and force are scalar quantities, work has none direction because of the nature of a vector product (or dot Product) in mathematical terms. For example, when two objects are placed side by side and hit with a hammer, the distance between them will always be the sum of the radii of their tangentwise triangles. The force of the hammer will always act in the direction of the shortest path between the two points, so when the two objects are next struck, their distance will be the same as before.
It is necessary to have a way to express this relationship in an easy to understand form. To do this, an object’s location and orientation can be set into the equations. An angle of the tangent to a point is termed as the force that acts on the object at a specific time t, where f is the integral function of time. Using t and a constant such as velocity, the equation can be written:
If the angle f is measured while the body is in motion, then the work done is simply the product of the gravitational potential energy, the time variable t and the gravitational force acting on the system. In order for an object to remain in its place, there must also be some force that acts to push it back to its original position. This force, however, may be different from the gravitational potential energy, depending upon the masses of the objects involved and their orientation. For instance, when the gravitational potential energy is in the form of zero g, then the force required to keep an object in place is the product of the derivative of its position with time and the local gravity. When both gravitational potential energy and the local gravity are constant, then there is no force required to keep the object in its place. This is the reason why when you try to move an object with your finger, you feel a sort of spring effect in its movement.
The work done is directly proportional to the change of acceleration and the time required to go from zero acceleration to acceleration over a distance. It is usually more difficult to define a relationship between work and acceleration because acceleration is a complex phenomenon due to its dependence on many external factors. A simple way to solve the problem is to use a mathematical expression: the power of acceleration divided by the time is the work done. This relation is called the law of conservation of energy.
Let us take an example of Newton’s first law of universal gravitation, that objects have the same weight irrespective of their size. It says that every object in the universe exerts a similar force on every other object. However, when you put two equal weights close together, they each exert different amounts of force on each other, because the two objects are not of the same size. It is this law that leads to the concept of relative force, which we use in measuring the strength of magnets. In this example, the force of the attraction of magnets with the North pole of a magnet and that of the repulsion of magnets with the South pole are considered as gravitational pulls.
The relationship between the law of gravitation and the definition of work can be illustrated with a little experiment. Have a large bag, preferably made of wood, lying on a table. Make a mark on the bag with your pen so that you know how much weight you can lift with your arms. Then take a measurement of the acceleration of the bag, in metres per second.
The work done is the force measured, times the distance from the source of attraction and the distance from the object which is being pulled or pushed. The force that is exerted by the absolute power of gravity is known as gravitational force. This happens when the object is moving relative to the rest of the objects in the system. Work done is also measured by the time it takes for the object to return to its rest position after the work. For instance, if you have your arms extended out at right angles to each other, you will be required to raise them by sixty-six milliseconds.
Work is basically the energy that is expended to move an object from one place to another. It is measured in joules (energy), and is the result of the action and reaction of some sort between the object and its surroundings. Forces along which the motion of the object may take place are called dynamic forces and there is also the potential energy, which is the outcome of the sum of all the potential energies acting upon an object under given circumstances.