Question

work done by a variable force????​

Answer 1

Answer:

The area enclosed by the rectangle of length equal to the magnitude of force F(x) and width equal to the displacement Δx, gives the work done by the force during that duration. ... Thus, for a variable force, the work done can be expressed as a definite integral of force over displacement for any system.

Explanation:

Hope it helps you

Answer 2

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it is a intersting to know that the forces we encounter everday are mostly variables in nature which definned as a variables force. a force said to a performance work on asystem if were is tge displacement of system application force in the direction force in tge case of variables force. intergration to nesscarry to calculate work done. the work done by constant force of magnitude F, as we know the displaces an object x can be ASL.

$w = f.triangles \: x$

in the case of vaiables force . work force of the variavles force calculate with the help of intergration . for example the case of spring , tge force acting upon an object horizontal spring can gives us,

$fs = - kx$

where,

• k is a spring constant
• x is the displacement of the object attached

we can see the force roportional to the displacement of the object form equilibrium position, hence the force acting each other . i fently small contibriuton work done . tge intergrated is evaluated as

$ws = < f{x} \: dx = {x \: f$