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A car moves with a uniform velocity (v) in a particular direction for a distance (s) under the action of a force (F) acting in the same direction. The
Question

A car moves with a uniform velocity (v) in a particular direction for a distance (s) under the action of a force (F) acting in the same direction. The work done by the force will be:

A.

-Fv

B.

Fs

C.

-Fs

D.

Fv

Correct option is B

The Correct Answer Is: (b) Fs
Explanation:
The work done (W) by a force on an object is given by the formula:
W=F⋅s⋅cosθ
where:
F is the force applied,
s is the displacement of the object,
θ is the angle between the force and displacement.
Since the force (F) and displacement (s) are in the same direction, the angle θ = 0°, and cos 0° = 1, so the equation simplifies to:
W=F⋅s
Thus, the work done by the force is Fs.
Information Booster:
Work is positive when the force and displacement are in the same direction.
Work is negative when the force acts opposite to displacement (e.g., friction).
If force is perpendicular to displacement, no work is done (e.g., force in circular motion).
Work is a scalar quantity and has only magnitude, not direction.
SI unit of work is Joule (J), where 1 Joule = 1 Newton × 1 meter.
Power is the rate of doing work, given by P = W/t.
Work done can be zero if there is no displacement or if force is perpendicular to motion.

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