When non-zero force and displacement are observed with zero work done, the angle between force and displacement is ____ degrees.

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Detailed Solution

When non-zero force and displacement are observed with zero work done, the angle between force and displacement is

90

degree.

W = F . s . cos θ

where

W

is the work done,

F

is the force,

θ

is the angle between the force and the direction of displacement.
The observed work is zero when Force and displacement are perpendicular to one another.
The work done is zero if

θ = 9 0^{0}, cos θ = 0

to the direction of force applied.
A porter in a train station serves as an illustration of the perpendicular force and displacement. While moving forward with the luggage on his head, he exerts force in a vertical direction to keep it from falling (against gravity). The displacement, though, occurs in the horizontal plane. As a result, the directions of the force and the displacement are perpendicular. So, there was no work done against gravity.

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