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If a force 'F' acts on a body such that body gets displaced through the distance 'x' in the direction of the force, then the work done by the force is ________.
F/x
x/F
x2F
Fx
Fx
When a force 'F' acts on a body and causes it to move through a distance 'x' in the exact direction of the applied force, the work done (W) is defined as the product of the magnitude of the force and the displacement. Therefore, the work done is given by W=Fx.
When a force 'F' acts on a body and causes it to move through a distance 'x' in the exact direction of the applied force, the work done (W) is defined as the product of the magnitude of the force and the displacement. Therefore, the work done is given by W=Fx.
Pushing a shopping cart across a supermarket floor: the harder you push (force F) and the further you walk down the aisle (distance x), the more work you do.
Work equals Force times distance: 'Work is Force in Motion' (WiFM).
W=Fx тАФ Work done when force and displacement are in the same direction
W=FтЛЕxтЛЕcos(╬╕) тАФ General formula for work done with angle ╬╕
In physics, work is said to be done when a force applied on an object displaces it. Mathematically, it is expressed as the scalar (dot) product of the force vector (F) and the displacement vector (x), which is written as W=FтЛЕxтЛЕcos(╬╕). When the body is displaced strictly in the direction of the force, the angle ╬╕=0┬░, so cos(0┬░)=1, simplifying the expression to W=Fx.
Work is a scalar quantity having magnitude only, though it is the dot product of two vectors (force and displacement).
The SI unit of work is the Joule (J), equivalent to 1┬аNтЛЕm.
If displacement is zero, the work done is zero, regardless of the magnitude of the force applied.
Lifting an object vertically upwards against gravity (W=mgh).
Pushing a box across a horizontal floor.
Option D (Fx) correctly represents the product of force and displacement.
Options A, B, and C represent incorrect dimensional relationships like ratios (F/x, x/F) or squared distances (x2F).
D is correct тАФ The work done by a force is equal to the product of the force and the displacement in the direction of the force (Fx).
Always verify the angle between force and displacement vectors; if they are perpendicular (╬╕=90┬░), the work done is zero because cos(90┬░)=0.