Question

derive the relation between force and acceleration using Newton's second law of motion​

Answer 1

Answer:

force=(mass)x(acceleration)

F=ma

Force unit is newton

Answer 2

Consider a body of mass 'm' moving with initial velocity (u).Let F be a force acting on it for 't' second, so that the velocity changes to 'v'.

Initial momentum = $p_1$=mu

Final momentum = $p_2$=mv

change in momentum = $P_2 -P_1$= mv-mu

Rate of change of momentum = $\frac{mv - mu}{t}$

$\therefore$ According to second of of newton F $\propto$$\frac{mv - mu}{t}$

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

From equation of motion $\frac{v - u}{t}$= a (acceleration)

$\therefore$ F$\propto$ma $\implies$F = kma

Note : K is constant term.