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Showing posts with the label Dimensional Formula of Work

Work

‘ Work is said to be done when a net force acting on the body, displaces the body in the direction of the force. Units of Work The CGS unit of work is ‘erg’ ( which is derived from the Greek word ‘Energia’ meaning in work ) and the SI unit of work is joule ( J ) (in honor of the English scientist James Prescott Joule). 1 erg = 1 dyne × 1 cm Hence, one erg is defined as the work done when a net force of one dyne displaces a body through one centimeter in its direction; Similarly, 1 joule = 1 newton × 1 meter. Hence, one joule is defined as the work done when a net force of one newton displaces it through one meter in its direction . CGS unit erg SI unit joule (J) Formula for work done (W) W = Force×Distance×cos( θ ) Dimensional formula for work [W]=[M]⋅[L] 2 ⋅[T] -2 where: M represents mass, L represents length, and T represents time. Work done formula derivation The work done on a body is proportional to the net force acting on the body and the  displacement  prod...

Work

When we push or pull a body at rest, it may or may not be set into motion. When the body is set into motion, we say that some work is done.  We may apply a large amount of force on a wall and try to displace it. Since the wall does not move or get displaced , we say work is not done. From these examples, it is clear that whenever  force  is applied on a body and the body gets displaced, work is said to be done. Sometimes, instead of the total force applied on a body, only a part of it may be responsible to bring the body into motion from rest. In such a situation also, work is said to be done. ‘ Work is said to be done when a net force acting on the body,  displaces the body in the direction of the force. Units of Work The CGS unit of work is ‘erg’ ( which is derived from the Greek word ‘Energia’ meaning in work ) and the SI unit of work is joule ( J ) (in honor of the English scientist James Prescott Joule). 1 erg = 1 dyne × 1 cm Hence, one erg is defined as the work done when...