Derive the relationship between a Newton and a dyne. [3 MARKS].

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Solution

Derivation : 3 Marks
$1 N e w t o n = 10^{5} D y n e$
$F o r c e = m a s s \times a c c e l e r a t i o n$
Now, $1 N e w t o n = 1 k g \times 1 m s^{- 2}$
And $1 d y n e = 1 g \times 1 c m s^{- 2}$
$1 N e w t o n = 1 k g \times m s^{- 2}$
$= 1000 g \times 100 c m s^{- 2}$
$= 10^{5} g \times c m s^{- 2}$
$∴$ $1 N e w t o n = 10^{5} D y n e$

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