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A variable force is a force whose direction or magnitude or both changes with time (varies). Integration calculates work done by a variable force. Illustrations of variable force are electrostatic force, magnetic force and spring force. Ability to do work is known as energy. Energy consists of two kinds: – Potential Energy & Kinetic Energy. Work is the product of the magnitude of the component of force over distance. It is the displacement of an object when a force is applied to it. Work is done on an object then energy is added. Energy refers to force which works at a certain distance.
Formula of energy
The capability of doing work is defined as energy. It consists of two kinds of energy: – 1) Kinetic Energy and 2) Potential Energy. Kinetic Energy is the energy which exists due to motion of an object. Illustration of kinetic energy is a moving car, flowing water, etc. Potential energy is that kind of energy which is stored in an object due to its height and position. It is evaluated by the amount of work done. Illustration of potential energy is a novel book on a table, water stored in a bottle, etc.
There are two forms of energy sources such as: – 1) Renewable source of energy and 2) Non-renewable source of energy. Illustrations – Renewable sources are geothermal energy, solar energy and wind energy. On the other side, Non-renewable sources are petroleum products, natural gas and coal. In the International System of Units (SI unit), the unit of energy is Joules (J).
The formula for energy is given below:
Formula for Kinetic Energy is: (K.E. = ½mv2), where (K.E.) is Kinetic Energy, (m) is mass of the object and (v) is the velocity of the object.
Formula for Potential Energy is: (P.E.) = mgh, where (P.E.) is Potential Energy, (m) is mass of the object, (g) is acceleration due to gravity and (h) is the height.
Work done formula
Work is done when a force (push or pull) causes an object to move. When the work is done against frictional forces which act upon an object then the object’s temperature increases. When the energy is transferred from one form of store to another form then it is said that work is done. Hence, energy transferred which is equal to work done. Both energy transferred and work done are measured in Joules (J). When a force (F) is applied on an object and after that an object actually moves in the direction of force through a distance (d), then we can say that work is done by force.
How can we calculate work is done? The method is when the amount of work is done on an object by the force acting on a body depends on two things: the size of force which acts upon an object and the distance through which force causes the body to move in the direction of the force. The following equation to calculate work done is: W = F × d. where, (W) is work done, (F) is force and (d) is distance which is in the same direction as the force of an object.
What is work?
A work product is the sum of displacements and forces along displacements. In the International System of Units (SI Unit), the unit of work is ‘Joule’ (J). In other units work is Foot-pound, Erg. ‘And in the International System of Base Unit it is 1kg×m 2 ×s -2.’ Work is the transfer of energy to a body by applying a force which causes the body to move in the direction of the force. In derivations from other quantities is work (W) = force (F) × displacement (s) and W = τ×θ. The dimension of work is ML2T-2 .
Work is consistent because a constant force integrates to barely the product of the force and distance. Where, we can say that work is force applied over the distance.
It is a mechanical manifestation of energy. Work (J) is equivalent to a newton-meter (N×m). When the force (F) is constant and the displacement (s) and the angle between force is θ, then the work done is given by (W = Fscosθ).
By either lifting twice the weight the same distance or by lifting the same weight twice the distance, the work is doubled. The resultant force causes a decrease in kinetic energy equal to the negative work it performs alternately. Therefore, the particle’s kinetic energy will increase by the amount of work if the network is positive. By the amount of work if the network done is negative, the particle’s kinetic energy decreases.
Conclusion
Therefore, it concludes that variable force is any kind of force which acts upon every day and is mainly variable in nature whereas capability to do work is energy and when work is done then the force causes object to move. Hence, Energy is closely related to Work. A potential function generates forces that are conservative and are known as potential energy. The work is doubled when you lift twice the weight the same distance or when you lift the same weight twice as far. Thus, we can lastly say that work is force applied over the distance.
