Question

A constant force applied on a body displaces it through a distance, so that tha angle between the force and distance is 0, work done will be maximum when dash

Answer 1

$\huge \text{\mathbb {\underline {ANSWER}}}$

The maximum work will be done when angle between force and displacement is 0°

$\huge \text{\mathbb {\underline {EXPLANATION}}}$

Given that,

Force = F

Displacement = S

Angle between force and displacement = Ф

We know that,

Work done is the dot product of force and displacement ie,

Work = Force · Displacement

W = F · S

${\boxed{W = F Scos \phi }}$

For work to be maximum for a given force and given displacement,

cosФ should be maximum

cosФ -----> Max

cosФ = 1

Ф = cos⁻¹ (1)

Ф = 0°