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 ____________.
Fx
Work Done Physics Formula Explained
This solution details how to calculate the work done when a force causes a displacement in the direction of the force.
Understanding the Concept of Work Done
In physics, work done is a fundamental concept related to energy transfer. It occurs when a force applied to an object causes it to move over a specific distance. For work to be done, there must be both an applied force and a displacement, and the force must have a component in the direction of the displacement.
The core components involved are:
- Force (F): The push or pull exerted on an object. Its unit in the SI system is the Newton (N).
- Displacement (x): The change in position of the object. Its unit in the SI system is the meter (m).
Deriving the Work Done Formula
When the applied force and the resulting displacement are in the exact same direction, the calculation of work done is straightforward. The work done (W) is simply the product of the magnitude of the force and the magnitude of the displacement.
The mathematical expression for this is:
$ W = F \times x $
Here:
- W stands for Work Done (measured in Joules, J).
- F stands for the magnitude of the Force (measured in Newtons, N).
- x stands for the magnitude of the Displacement (measured in meters, m).
This formula applies specifically when the force vector and the displacement vector are parallel and point in the same direction.
Analysis of Provided Options
The question asks for the expression representing the work done when a force 'F' causes a displacement 'x' in the direction of the force. Based on the physics definition:
- Option 1: $Fx$ - This option represents the product of force and displacement. It correctly matches the formula derived ($W = F \times x$) for cases where force and displacement are in the same direction.
- Option 2: $F/x$ - This expression divides force by displacement. This does not represent work done.
- Option 3: $x/F$ - This expression divides displacement by force. This is also not the formula for work done.
- Option 4: $x2F$ - This involves the square of displacement multiplied by force. It is not the standard formula for work done.
Therefore, the correct representation for the work done under the given conditions is the product of the force and the displacement, which is $Fx$.
Similar Questions
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Important Questions from Work and Energy
The founder of the Pala empire was:
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