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The area under a force-displacement graph gives the magnitude of

The area under a force-displacement graph gives the magnitude of Correct Answer Work done

The correct answer is option 2) i.e. Work done

CONCEPT:

  • Work (W) is said to be done by an object when a force acting on it causes the object to displace.

Mathematically it is denoted by:

W = F.x

Where F is the force acting on the object and x is the displacement caused.

EXPLANATION:

  • The force acting on an object and displacement is represented graphically as shown below. 
    • Consider a varying force acting on the object. If we divide the region under the curve into infinitesimally small regions, the force would appear constant for that region which has caused a displacement of Δx. 

In such a case, the area of that small region = Force × displacement (Δx) = work done.

​Additional Information

  •  The area under the velocity-time graph gives the acceleration.
  • The area under the displacement-time graph gives velocity.

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