In physics, work is defined
as the amount of energy transferred to an object when a force is applied over a
distance. It is typically represented by the symbol "W".
The formula for work is:
W = F × d × cosθ
where:
W is the work done (in
joules, J)
F is the force applied (in
newtons, N)
d is the distance over which
the force is applied (in meters, m)
θ is the angle between the
direction of the force and the direction of motion of the object.
The cosine of the angle θ
accounts for the fact that the force and displacement may not be in the same
direction, and therefore only the component of the force in the direction of
motion contributes to the work done.
For example, if you push a
box with a force of 10 newtons over a distance of 5 meters at an angle of 30
degrees to the direction of motion, the work done would be:
W = F × d × cosθ
W = 10 N × 5 m × cos30°
W = 43.3 J
So, the work done in this
case would be 43.3 joules.
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