1 dyne (a unit of force in CGS system) eals to

In physics, the dyne is the unit of force in the centimeter-gram-second (CGS) system [1]. It is defined as the force required to accelerate a mass of one gram at a rate of one centimeter per second squared (1 g·cm/s²) [1]. To convert this to the SI unit (Newton), we use the relationships 1 kg = 10³ g and 1 m = 10² cm. Therefore, 1 g = 10⁻³ kg and 1 cm = 10⁻² m. Substituting these into the CGS definition, 1 dyne = (10⁻³ kg) × (10⁻² m/s²) = 10⁻⁵ kg·m/s². Since 1 Newton (N) is defined as 1 kg·m/s², it follows that 1 dyne equals 10⁻⁵ N [1]. Thus, the correct conversion in terms of kg·m/s² is 10⁻⁵.

Sources

1. [1] https://satheeneet.iitk.ac.in/article/physics/physics-relation-between-newton-and-dyne/