Final answer:
The formula for work in physics is W = fd, meaning work is the multiplication of force (f) and distance (d) in the direction of the force. The work-energy theorem also expresses work as the change in kinetic energy of a system. Factors such as force magnitude, direction, distance moved, and the weight of the object being moved against gravity influence work done.
Step-by-step explanation:
Understanding Work in Physics
In physics, the formula for work (W) is derived from the equation W = fd, which represents work as the application of a force (f) over a distance (d) in the direction of the force. This equation implies that work done is the amount of energy transferred by a force acting over a distance. For instance, work done against gravity multiplies the object's weight (force due to gravity) by the vertical distance moved. In mathematical terms, this can be expressed as W = mgh, where m is the mass, g is the acceleration due to gravity (9.8 m/s² on Earth), and h is the height. Furthermore, the work-energy theorem states that the net work done on a system is equal to the change in kinetic energy, which can also be expressed as Wnet = ½ mv² - ½m(v0)², where v is the final velocity and v0 is the initial velocity.
To calculate work done against gravitational force on an object, you would use the mass of the object, the height it is moved, and the acceleration due to gravity. For other types of forces or movements, you will need to know the force applied and the distance over which it is applied. The alignment of force and displacement also contributes to the calculation of work, as only the component of force in the direction of the displacement does work.