Question

State the unit of force. How is it related to the C.G.S unit of force? Explain.

Answer 1

Hint: In order to answer this question, we will understand the concept of force. We will be defining force and writing its equation. We will also state the unit of force and then find its relation with the C.G.S unit. We will be discussing all of it in detail.

Complete answer:
First of all, we will ask the question to ourselves,
What do we mean by force?
Aristotle described a force as something that causes an entity to move in an “unnatural” way. One of the first physicists to research gravity and force was Sir Isaac Newton. A force in physics is any influence that causes an object to shift, whether in terms of movement, direction, or geometrical construction. The SI unit of Newton’s is used to calculate it. A force is something that can shift the velocity of a mass object, causing it to accelerate, or cause a flexible object to bend.
Newton's second law states that the net force acting on an object is equal to the rate at which its momentum changes. This rule also states that an object's acceleration is equal to the net force acting on it, is in the same direction as the net force, and is inversely proportional to the mass of the object.
As we have already discussed, force is a vector quantity. A vector is a one-dimensional array of magnitude and direction components. The magnitude component of a force vector is mass, while the directional component is acceleration. The force equation is written as follows:
$F=ma$
Where $F$ is the force, $m$ is the mass and $a$ is the acceleration.
Now, from our discussion above, we know that the force is described as Newton’s $\left( N \right)$ in SI units which is named after the name of Sir Isaac Newton.
But, forces can also be represented in units Dyne. The International System of Units, or SI Unit, uses the Newton as a force-based unit. A dyne is a force-based unit in the Centimeter-Gram-Second (CGS) scheme. A Newton is the amount of force needed to accelerate a $1kg$ mass at $1\dfrac{m}{{{s}^{2}}}$ whereas dyne is the force required to accelerate a $1g$ mass at $1\dfrac{cm}{{{s}^{2}}}$.
$\Rightarrow 1N=1kg\dfrac{m}{{{s}^{2}}}$ , and
$\Rightarrow 1dyne=1g\dfrac{cm}{{{s}^{2}}}$
Therefore, the relation between a Newton and a Dyne can be represented as
$\begin{align}
  & \Rightarrow 1N=1000g\cdot \dfrac{100cm}{{{s}^{2}}} \\
 & \Rightarrow 1N={{10}^{5}}g\dfrac{cm}{{{s}^{2}}} \\
 & \Rightarrow 1N={{10}^{5}}dyne \\
\end{align}$
Similarly, $1dyne={{10}^{-5}}N$

Note:
It is very important to note that any time two objects interact, a force is exerted on each of them. The two objects no longer feel the force when the interaction ends. Interaction is the only way for forces to exist. By default, Newton is used as the unit of force as it has been standardised by the International System of Units.