Answer
Verified
435.3k+ views
Hint:Work is said to be done when an object moves in the direction of applied force. It is equal to the
product of the magnitude of displacement and magnitude of the component of the force in the
direction of displacement. Using the formula of work, find out the conditions at which work done
can be zero to find the answer to this question.
Complete step by step answer:
When a force is applied on a body and it moves along the direction of force, work is said to be done
on that object.
Mathematically,
$
W = F\operatorname{Cos} \theta \cdot s \\
W = Fs\operatorname{Cos} \theta \\
W = \vec F \cdot \vec s \\
$
Where $W = $ work done, $F = $ force applied, $s = $ magnitude of displacement and $\theta = $
the angle between $\vec F$ and $\vec s$ .
Now for work to be zero, any one of the above quantities has to be zero.
For $\cos \theta $ to be zero, $\theta = 90^\circ $ , that is the displacement of the body is
perpendicular to the direction of applied force.
Therefore, work done is zero when force and displacement are perpendicular to each other or when
either the force or displacement is zero.
Additional information:
Force is said to be conservative if work done by it or against it in moving the body from one point to
another depends on the initial and final position of the body and is independent of the path followed
by the body. Also, if the work done in moving a body in a closed path in the field of a force and the
total work done is zero, then the force is said to be conservative.
Note:
Force is a push or pull which –
(a) Moves or tends to move a body kept at rest.
(b) Stops or tends to stop a moving body.
(c) Changes or tends to change the speed of the moving body.
(d) Changes or tends to change the direction of motion of the body.
Work is a scalar quantity as it is the dot product of two vector quantities. The conditions for the dot
product of two vectors to be zero can also lead to the same answer.
product of the magnitude of displacement and magnitude of the component of the force in the
direction of displacement. Using the formula of work, find out the conditions at which work done
can be zero to find the answer to this question.
Complete step by step answer:
When a force is applied on a body and it moves along the direction of force, work is said to be done
on that object.
Mathematically,
$
W = F\operatorname{Cos} \theta \cdot s \\
W = Fs\operatorname{Cos} \theta \\
W = \vec F \cdot \vec s \\
$
Where $W = $ work done, $F = $ force applied, $s = $ magnitude of displacement and $\theta = $
the angle between $\vec F$ and $\vec s$ .
Now for work to be zero, any one of the above quantities has to be zero.
For $\cos \theta $ to be zero, $\theta = 90^\circ $ , that is the displacement of the body is
perpendicular to the direction of applied force.
Therefore, work done is zero when force and displacement are perpendicular to each other or when
either the force or displacement is zero.
Additional information:
Force is said to be conservative if work done by it or against it in moving the body from one point to
another depends on the initial and final position of the body and is independent of the path followed
by the body. Also, if the work done in moving a body in a closed path in the field of a force and the
total work done is zero, then the force is said to be conservative.
Note:
Force is a push or pull which –
(a) Moves or tends to move a body kept at rest.
(b) Stops or tends to stop a moving body.
(c) Changes or tends to change the speed of the moving body.
(d) Changes or tends to change the direction of motion of the body.
Work is a scalar quantity as it is the dot product of two vector quantities. The conditions for the dot
product of two vectors to be zero can also lead to the same answer.
Recently Updated Pages
Who among the following was the religious guru of class 7 social science CBSE
what is the correct chronological order of the following class 10 social science CBSE
Which of the following was not the actual cause for class 10 social science CBSE
Which of the following statements is not correct A class 10 social science CBSE
Which of the following leaders was not present in the class 10 social science CBSE
Garampani Sanctuary is located at A Diphu Assam B Gangtok class 10 social science CBSE
Trending doubts
A rainbow has circular shape because A The earth is class 11 physics CBSE
Which are the Top 10 Largest Countries of the World?
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
How do you graph the function fx 4x class 9 maths CBSE
What is BLO What is the full form of BLO class 8 social science CBSE
The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths
Give 10 examples for herbs , shrubs , climbers , creepers
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
Change the following sentences into negative and interrogative class 10 english CBSE