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-1 votes
2 answers
99 views

Motivation for definition of work [closed]

Why do we take the dot product in the work energy theorem? Consider the integral $$\int\vert\vec F\vert\vert d\vec r\vert$$ Why don't we define this to be work done for example, instead of $\int\vec F\...
GedankenExperimentalist's user avatar
0 votes
1 answer
76 views

${}$Conservative and Non-Conservative Forces

For work done by conservative forces ($W = F.S$), we consider $S$ as the displacement and not the actual path travelled. However for non conservative forces we consider the total path length and not ...
nerdygeek's user avatar
0 votes
1 answer
635 views

Formula for work done for both conservative and non-conservative force are different?

We know that the formula for Work Done by an constant force is W.D = Force x displacement x (cosine of angle between force and displacement). Situation: A mass m travels 10 meters towards  +ve axis ...
csebks's user avatar
  • 1
1 vote
3 answers
112 views

Clarification on the displacement in the definition of Work

I'd like to ask a question about work. The definition of work gives us a way to calculate the work done by a force along a path but in practice it's not always clear what path to take in consideration....
HomoVafer's user avatar
  • 410
-3 votes
2 answers
231 views

Why is work done force times displacement? [duplicate]

Why is work done the product of force and displacement? Why not force and time?
rahul amare's user avatar
0 votes
4 answers
3k views

Why do we multiply $\cos θ$ in the formula for work? [duplicate]

I know that the formula for work, $W = FS\cos\theta$, where $F$ is the applied force, $S$ is the displacement of the object and $\theta$ is the angle between the applied force and the displacement of ...
Amanat Aziz Khan's user avatar
1 vote
3 answers
308 views

Is the $d$ in $W=F*d$ displacement or distance?

My textbooks say that work=force times displacement but when I was considering conservative and non-conservative forces I got a bit confused. I know that the work done by non-conservative forces onto ...
Newton Hofsteider's user avatar
1 vote
3 answers
222 views

Work=Force Displacement Displacement relative to what?

Ok, taking the equation W=FD. Say a 30N force is acting on a 10kg object over 10s, causing it to move 150 metres over a frictionless surface. The work done by this force will be 30(150)J. However, if ...
ReveaZapcre's user avatar
-1 votes
2 answers
351 views

Please explain work done

We have learnt that when an force displaces object along its direction then it is work done. so there is dot product in its formula (I guess). So is it also right to say that work done is cross ...
Sandeep Acharya's user avatar
3 votes
9 answers
4k views

Why is work equal to force times displacement?

This is how I think of what work is.I am sure I am wrong somewhere because I shouldn't be coming to the conclusion that I am coming to.It would be helpful if you would point out where this conceptual ...
whae's user avatar
  • 1,033
0 votes
2 answers
720 views

Why is work defined with respect to distance rather than time? [duplicate]

The common way of finding the work done on some object is by applying the equation: force*displacement. However, suppose we apply a force of F newtons on an object of mass M for a duration of T ...
Luo Zeyuan's user avatar
8 votes
3 answers
1k views

What does the 'displacement' refer to in the definition of work?

The definition of work given in books is The work is said to be done by a force on a body, when the body is moved by the force through some 'displacement'. Now let a body of mass $m$ at rest. When a ...
Gurbir Singh's user avatar
1 vote
3 answers
2k views

What is the "displacement" of the object in the definition of work?

Work in physics is mathematically defined as force $F$ applied on an object multiplied by the displacement $d$ it covers in the direction of the force. In a system where, a restrictive force exists ...
Simab Asif's user avatar
10 votes
4 answers
2k views

Does the displacement in the definition of work correspond to the displacement of the object or the point of application of the force?

Work is defined as $$W = \vec{F}\cdot\vec{s}$$ But what what exactly is $\vec{s}$? Is it the displacement of the body on which the force is being applied? Or is it the displacement of the point of ...
Gerard's user avatar
  • 2,770