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Derive the relation between newton and dyne

To derive the relation between the newton (N) and the dyne (dyn), we need to use the conversion factor between the two units. To convert between the two units, we can use the following relation: 1 N = 10^5 dyn This conversion factor arises from the definition of the newton in terms of kilograms and meters, compared to the definition of the dyne in terms of grams and centimeters. Since there are 1000 grams in a kilogram and 100 centimeters in a meter, the conversion factor is: 1 N = (1000 g) × (100 cm/s^2) = 10^5 dyn Therefore, 1 newton is equal to 10^5 dynes. The newton is the SI unit of force and is defined as the force required to accelerate a mass of one kilogram by one meter per second squared (N = kg m/s^2). The dyne, on the other hand, is a unit of force in the centimeter-gram-second (CGS) system. It is defined as the force required to accelerate a mass of one gram by one centimeter per second squared (dyn = g  cm/s^2).
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