Question

1 newton=_______ dyne

Answer 1

Hint: Newton and dyne are units of force in two different metric systems. A force is an external agent which is required to change the state of rest or motion of a body. Force depends on mass and acceleration, so the relation between newton and dyne can be calculated by converting units of mass and acceleration between two metric systems.

Formula used: \[F=ma\]

Complete step by step answer:
Force is an interaction between two objects which causes the change in state of rest or motion in one or both of the objects. Its SI unit is newton (\[N\]). According to second law of motion, the formula for force is-
\[F=ma\]
Here,\[m\]is the mass is the object on which the force acts
\[a\]is the acceleration of the object
Newton is the unit of force in the SI system, while dyne is the unit of force in the CGS system. Newton is a greater unit than dyne.
1 dyne is defined as the force which accelerates a body of \[1gm\] with \[1\,cm{{s}^{-2}}\]
Therefore,
\[\begin{align}
  & 1N={{10}^{-3}}gm\times {{10}^{-2}}cm\,{{s}^{-2}} \\
 & 1N={{10}^{-5}}dyne \\
\end{align}\]

Therefore, 1 newton is equal to\[{{10}^{-5}}\]dyne.

Additional Information: The motion of an object in a straight line can be described using Newton’s three laws of motion. The first law states that everybody has a tendency to remain in its state of rest or uniform motion unless compelled to do so. The second law states that force is the product of mass and acceleration. The third law states that every action has an equal and opposite reaction.

Note: The SI system or International system of units is the most widely accepted system of units around the world whereas the CGS or centimeter-gram-second system is another type of metric system based on using centimeter as length, gram as weight and second as unit of time. Newton’s second law of motion says that a force is required to change the state of rest or motion of a body.