What is an impulse? Write the S.I. unit and dimensional formula of impulse.

In physics, impulse refers to the change in momentum of an object when a force is applied to it for a certain period of time. It is defined as the product of the force applied to an object and the time interval over which the force acts. Mathematically, impulse (J) can be expressed as:

J = F * Δt

Where:
J is the impulse,
F is the force applied, and
Δt is the time interval over which the force acts.

The SI unit of impulse is the newton-second (N·s) or kilogram-meter per second (kg·m/s). This unit is derived from the SI units of force (newton, N) and time (second, s).

The dimensional formula of impulse can be determined by analyzing the dimensions of its components. The dimensional formula of force is [M L T^−2] (mass × length × time^−2), and the dimensional formula of time is [T] (time). Therefore, the dimensional formula of impulse is:

[M L T^−2] × [T] = [M L T^−1]

So, the dimensional formula of impulse is [M L T^−1], which represents the dimensions of mass, length, and time.