Question

Show that work can be expressed as a scalar product of force and displacement

Answer 1

Mathematically work is defined as the product of force and displacement

If F is the applied force S is the displacement and W is the work done...,then:

Work done = force × displacement

W=F × S

such like......,,,

force=25N

displacement=10m

work done= F × S

= 25N × 1Om = 250N

therefore it is prooved that it can be expressed as a product of force and displacement

Answer 2

Explanation:

Work done by an object is given by :

$W=F{\cdot} d\\\\W=Fd\cos\theta$

Here,

F is force

d is displacement

$\theta$ is the angle between force and displacement

Force and displacement both are vector quantity. We know that the dot product of two scalar quantity gives a vector quantity. Hence, proved.

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Work done

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