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Work

Key Questions

What is displacement as related to work?
Answer:

Through an equation.
Explanation:
Work is represented by the equation,

$W = F \cdot d$ $W=F*d$

$F$ $F$ is the force in newtons

$d$ $d$ is the distance moved in meters

Now, the distance moved is also the displacement of the object. If the object doesn't move, even if $10$ $10$ millions newtons of force was applied, there'll still be no work done.

But, if an object moves, then work is done.
Nam D. · 1 · Apr 9 2018
How is the scalar product of vectors related to work?

Answer:

Work done defined as the scalar product of the two vectors force and displacement.

Explanation:

If a force $\to F$ $vecF$ acts on a body and displaces it through $\to r$ $vecr$ and the angle between the two vectors be $θ$ $theta$ . The work done by the force is given as,

$W = \to F \cdot \to r$ $W = vecF*vecr$
$\Rightarrow W = F r cos θ$ $implies W = FrCos theta$ , where $F$ $F$ and $r$ $r$ are the magnitudes of $\to F$ $vecF$ and $\to r$ $vecr$ respectively.

Aritra G. · 1 · Jul 29 2015
What is the formula that includes work, force, and displacement?

Answer:

$W = F cos θ \cdot d$ $color(green)(W = F cos theta * d$ , Newton meter

Explanation:

F = Force, d = displacement

Work done = Force * Displacement

$W = \to F \cdot \to d$ $W = vec F * vec d$

Force and displacement are vector quantities

If both F and d are in the same direction, $W = F \cdot d$ $W = F * d$

If force is exerted at an angle of $θ$ $theta$ to the direction of motion, then work done

$W = F cos θ \cdot d$ $color(green)(W = F cos theta * d$

Unit of work is Joule

1 Joule = 1 Newton meter = 1 N m

Kalyanam S. · 1 · May 20 2018

Questions

Dot Product of Vectors

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