## Question

The area under force – time graph gives:

## Detailed Solution

Concept:

Impulse(J):

• It is defined as a force acting on the object for a particular period of time.
• It is a vector quantity, since it has both magnitude and direction, it is represented by using the symbol ‘J’.
• Mathematically it is represented as the product of the force acting on the object and the time on which it is acting.

Hence, it can be written as

J = F . Δt

• When the impulse is applied to the object it changes its linear momentum of the vector in the same direction.
• The S.I unit of impulse is Newton second and it is represented by the symbol (N-s).

Explanation:

• Let us consider the time force graph, such that the x-axis has time and the y-axis has force in New
• On the x-ais force makes the curve OAB, such that it forms the triangle OAB.
• On calculating the area under the curve,

Area of triangle OAB = (1/2) × Base × Height = (1/2) × Force × Time = Formula of impulse

So, from above it’s clear that the area under curve force and time gives Impulse.