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That is force applies has no component along the displacement and hence force does not do any work on the body. (ii) when angle θ=90 i.e., direction of force is perpendicular to that of displacement, then from equation (2) (i) When angle θ=0 i.e., force is in the same direction as of displacement, then from equation (2) Comparing equation 2 with definition of scalar products ,Formula of work done can be written as.We know that the scalar product of two vectors A and B where A makes an angle θ with B is given by.In equation 2 work done is defined as the product of magnitude of displacement d and the component of force in the direction of displacement. Thus, work done by the force F in in displacing the body through displacement d is.Effective component of force along the direction of displacement is Fcosθ and this component of force is responsible for the displacement of the block in the given direction.Here force F acts at an angle θ to the displacement d In this case force acting on the block is constant but the direction of force and direction of displacement caused by this force is different.Mathematically Work done Formula will be given as, Now, work done by this force is equal to the product of the magnitude of applied force and the distance through which the body moves.Action of this force is to move the body through a distance d in a straight line in the direction of force. This block is acted upon by a constant force F. Consider a block placed on a frictionless horizontal floor.Work done is defined in such a way that it involves both Force applied on the body and the displacement of the body.We already know that work is said to be done when a Force produces motion.In this chapter we will study about work, relation between work and energy, conservation of energy etc.One form of energy can be converted into another form of energy.These forms of energies can be used in number of ways. There are many forms of energy like chemical energy, mechanical energy, electrical energy, heat energy etc.
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This way energy defined to be as capacity of doing work.Energy is usually associated with work done in the sense that a person feeling very energetic is capable of doing lot of work. When we push or pull a heavy load or lift it above the floor then we are doing work, but a man carrying heavy load and standing still is not doing any work according to scientific definition of work.But this is not the way how we define work done in physics.Term work is generally used in context to any kind of activity requiring physical or mental effort.In our everyday life we use terms like work and energy.