In this article, I will be describing about Work & Energy. For understanding these terms, we need to know about the following terms work, +ve work , -ve work , zero work and energy , type of energy ( kinetic energy, potential energy, mechanical energy).
Now, Start with work.
WORK- when a force applied on a body and force displaces the body through a certain distance in the direction of force then work is said to be done.
W = F.S
W = (F cosπ)S
W = F S cosπ
(where F= force, S= displacement are the Vector quantities)
(where Fcosπ is the component of force along the direction of displacement.)
unit of work - J or N-m
work is a SCALAR quantity
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TYPES OF WORK
1. POSITIVE WORK
2. NEGATIVE WORK
3. ZERO WORK
POSITIVE WORK
It means that force or the component of force is parallel to the displacement.
Mathematically, Work is said to be +ve , if value of angle theta between the directions of F & s is either zero or an acute angle.
NEGATIVE WORK
It means that force or the component of force is opposite (or anti-parallel) to displacement.
Mathematically, work is said to be -ve , if value of angle theta between the directions of F & s is either 180Β° or an obtuse angle.
ZERO WORK
Work done can be zero, if
β¦ No force is being applied on a body.
W = F . s β‘ Fs cos (theta)
β’.β’ F = 0 , .Β°. W = 0
β¦ Although the force is being applied on a body but is unable to cause any displacement in the body.
W = F . s β‘ Fs cos (theta)
β’.β’ F is not equal 0 but s=0 , .Β°. W = 0
β¦ Both F & s are finite but angle theta between the directions of force and displacement is 90Β°.
In such a case
W = F . s β‘ Fs cos (theta) β‘ Fs cos 90Β°
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