Question
How would you arrive at a mathematical formula to measure force using Second Law of motion? Define the unit of force using this formula.
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Answer
Newton's Second law of motion: Newton's Second law of motion states that the second law of motion states that the rate of change of momentum of an object is proportional to the applied unbalanced force in the direction of force. $\text{F}\alpha\frac{\text{(mv-mu)}}{\text{t}}$
$\therefore \text{F}\alpha \frac{\text{m}\text{(v-m)}}{\text{t}}$
$\therefore \text{F}\alpha\ \text{ma}$
$\therefore F =$ kma, Where $k$ is the proportionality constant, $k = 1$
So we can conclude that
$\therefore F =$ ma, Which is the mathematical expression of Newton's second law.
$\therefore \text{F}\alpha \frac{\text{m}\text{(v-m)}}{\text{t}}$
$\therefore \text{F}\alpha\ \text{ma}$
$\therefore F =$ kma, Where $k$ is the proportionality constant, $k = 1$
So we can conclude that
$\therefore F =$ ma, Which is the mathematical expression of Newton's second law.
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