1 dyne is equal to
The correct answer and explanation is:
1 dyne is equal to 10⁻⁵ newtons.
The dyne is a unit of force in the centimeter-gram-second (CGS) system of units. It is used primarily in physics to express small amounts of force. The CGS system is an older metric system where the base units are centimeters (for length), grams (for mass), and seconds (for time). In contrast, the International System of Units (SI), which is the modern system of measurement, uses meters, kilograms, and seconds.
To understand how dyne relates to newtons, it is necessary to know that the SI system uses the newton (N) as its unit of force. The relationship between the dyne and the newton is derived from the basic units of the CGS system and the SI system. One newton is defined as the amount of force required to accelerate a mass of one kilogram by one meter per second squared. In the CGS system, one dyne is the force needed to accelerate a mass of one gram by one centimeter per second squared.
The conversion between dyne and newton comes from these definitions. Specifically, since there are 100 centimeters in a meter and 1000 grams in a kilogram, the conversion factor between the two units is:
1 dyne = 1 gram×1 cm/s21 kg×1 m/s2\frac{1 \, \text{gram} \times 1 \, \text{cm/s}^2}{1 \, \text{kg} \times 1 \, \text{m/s}^2}
= 10−5 newtons10^{-5} \, \text{newtons}.
This small value of dyne reflects its use in situations where small forces are involved, such as in molecular physics or small-scale laboratory experiments.