Work
Work is said to be done whenever a force is applied to cause a body to move. Work occurs when a force moves a body through a certain distance. For example, pushing a bicycle or lifting books involves work.
Work is defined as the product of force and displacement in the direction of the force. The SI unit of work is joules (J). One joule is the work done when a force of one newton moves a distance of one meter.
Thus, \( W = f \times s \)
where \( W \) equals work in joules
where \( f \) equals force in newtons
where \( s \) equals displacement in meters
Work is done whenever a force moves a body through a certain distance in the direction of the force, and it is equal to the product of the force and the distance moved.
W = force × distance in the direction of the force.
W = f × s cosθ
In a gravitational field, there is always a force pulling a body toward the Earth's center. We define the weight of a body as the force of attraction on the body due to Earth's gravity. This weight acts downwards. When an object is lifted vertically upwards, work is done against the force of gravity or against the weight of the body. The magnitude of the work done is given by:
Work = force × distance
W = mg × h
W = mgh
Where \( m \) equals mass of the body.
Where \( g \) equals acceleration due to gravity.
Where \( h \) equals height (m), and
Where \( W \) equals work done in joules.
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