Question

define work and show that it is the dot product of force and displacement.at what condition work done will be maximum or minimum
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Answer 1

Work:

• Work is defined as the energy transfer associated when a force pushes/pulls an object over a displacement.

Mathematical form:

$\boxed{ \sf \: W = \vec{F} \: . \: \vec{d}}$

$\sf \implies W = F \times d \times \cos( \theta)$

So, we can say:

• Max work is done when value of $\cos(\theta)$ is max , which means $\theta$ = 0°.

• Min work is done when value of $\cos(\theta)$ is min , which means $\theta$ = 90°.

Hope It Helps.

Answer 2

Answer:

define work and show that it is a dot product of force and displacement ? at which angle work will be maximum and minimum