Question

Drive the relation between Force and Acceleration. Define one unit force. ​

Answer 1

Newton’s second law of motion states that the force exerted by a body is directly proportional to the rate of change of its momentum. For a body of mass ‘m’, whose velocity changes from u to v in time t, when force ‘F’ is applied.

Derivation:-

$\large\rm { F \propto \frac { change \ in \ momentum}{time}}$

$\large\rm { F \propto \frac {mv-mu}{t}}$

$\large\rm { F \propto m ( \frac {v-u}{t} ) }$

$\large\rm { F = k\ ma ( \because a = \frac {v-u}{t})}$

$\large\rm { F = ma ( \because k = constant = 1)}$

One unit force;

One newton is equal to the force needed to accelerate a mass of one kilogram one meter per second.