Question

what should be the angle between the force and the displacement to get minimum work​

Answer 1

The angle between the force and the displacement should be 90 degrees to get minimum work​

Explanation:

Work is defined as:

$W=\vec{F}\cdot \vec{s} \\ \\ \vec{F}:Force \\ \\ \vec{s}:displacement \\ \\ \\ Since \ we \ have \ dot \ product \ here, \ so \ W \ can \ be \ written \ as: \\ \\ W=Fscos(\theta) \\ \\ Where \ \theta \ is \ the \ angle \ between \ \vec{F} \ and \ \vec{s} \\ \\ \\ W \ is \ minimum \ when \ cos(\theta)=0. \ In \ other \ words: \\ \\ \boxed{\theta=90^{\circ}}$

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