Area under force-displacement graph gives:

The correct answer is option 1) i.e. Work

CONCEPT:

• Work 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.

• Therefore, the area under the force-displacement graph gives work.

Additional Information

• Impulse (J): The change in momentum of an object when the object is acted upon by a force for a certain amount of time is called impulse.
• Impulse is expressed mathematically as : 

\(⇒ Δ p=FΔ t\)

Where Δp is the change in momentum, F is force, and Δt is the time taken.

• Linear momentum: Momentum is defined as the impact due to a moving object.
• It is expressed mathematically as: 

⇒ p = mv

Where m is the mass of the object and v is the velocity of the object.