Define the following: i) Physics         ii) fundamental quantities.                           2mrksb.         Derive the dimension and unit for force

i) Physics: Physics is the branch of science that deals with the study of matter, energy, and the interactions between them. It seeks to understand the fundamental laws and principles that govern the behavior of the universe.

ii) Fundamental quantities: Fundamental quantities are the basic physical quantities that are used to describe and measure different aspects of the physical world. These quantities are considered to be independent and cannot be defined in terms of other quantities. Examples of fundamental quantities include length, mass, time, electric current, temperature, amount of substance, and luminous intensity.

To derive the dimension and unit for force, we can use Newton's second law of motion, which states that the force acting on an object is equal to the product of its mass and acceleration.

Let's denote force as F, mass as m, and acceleration as a.

According to Newton's second law, F = m * a.

The dimension of force can be derived by analyzing the dimensions of mass and acceleration. The dimension of mass is [M] (mass is a fundamental quantity), and the dimension of acceleration is [LT^-2] (length divided by time squared).

Multiplying the dimensions of mass and acceleration, we get the dimension of force as [MLT^-2].

Now, let's determine the unit for force. The unit for mass is typically kilograms (kg), and the unit for acceleration is meters per second squared (m/s^2).

Multiplying the unit for mass (kg) by the unit for acceleration (m/s^2), we get the unit for force as kilogram meter per second squared (kg·m/s^2), which is also known as the Newton (N).

Therefore, the dimension of force is [MLT^-2] and the unit for force is the Newton (N).