Find the path along which work done is least in [$ABC$] and [$AC$].

Answer
252.9k+ views
Hint: Work is the energy transmitted through the application of force along a displacement to or from an object. It is also represented as the product of force and displacement in its simplest form. A force is said to do positive work if it has a part (when applied) in the direction of the point of application's displacement. A force does have a negative function if at the point of application of the force it has a part opposite to the direction of the displacement. The work $W$ performed with a constant magnitude $F$ force on a point which moves a movement in a straight line towards force is the result.
Complete step by Step Solution:
The work $W$ performed with a constant magnitude $F$ force on a point which moves a movement in a straight line towards force is the result.
Work done along $ABC$ can be written in the equation,
${W_ {ABC}} = {W_ {AB}} + {W_ {BC}} $
$ \Rightarrow {W_ {ABC}} = 0 + 15 \times 4$
$ \Rightarrow {W_ {ABC}} = 60J$
Work done along $AC$
${W_ {AC}} = (5 + 15) \times (6 - 2) = 40 J$
Hence, work done along $AC$ is least.
Note: Work passes energy between objects. Work is also concerned with gas expansion and compression. When a gas attempts to spread, it increases its strength on a container's surfaces, and can move these surfaces. The gas then functions and passes electricity to the bottle.
Research carried out by force of a body can be positive, negative and zero, i.e. Work conducted is positive, for example work carried out by force in order to drive a block of mass m Work done is negative- Force is contrary to the displacement for example, as the body slips on the horizontal surface of the work conducted by frictional forces on the body, since frictional force often works against body displacement. The job performed is zero, for example, a centripetal force acts on a body travelling in a circle at the right angle of a displacement.
Complete step by Step Solution:
The work $W$ performed with a constant magnitude $F$ force on a point which moves a movement in a straight line towards force is the result.
Work done along $ABC$ can be written in the equation,
${W_ {ABC}} = {W_ {AB}} + {W_ {BC}} $
$ \Rightarrow {W_ {ABC}} = 0 + 15 \times 4$
$ \Rightarrow {W_ {ABC}} = 60J$
Work done along $AC$
${W_ {AC}} = (5 + 15) \times (6 - 2) = 40 J$
Hence, work done along $AC$ is least.
Note: Work passes energy between objects. Work is also concerned with gas expansion and compression. When a gas attempts to spread, it increases its strength on a container's surfaces, and can move these surfaces. The gas then functions and passes electricity to the bottle.
Research carried out by force of a body can be positive, negative and zero, i.e. Work conducted is positive, for example work carried out by force in order to drive a block of mass m Work done is negative- Force is contrary to the displacement for example, as the body slips on the horizontal surface of the work conducted by frictional forces on the body, since frictional force often works against body displacement. The job performed is zero, for example, a centripetal force acts on a body travelling in a circle at the right angle of a displacement.
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