Question

Define force as rate of change of momentum

Answer 1

if two object are moving at same velocity one with twice the mass of the other also has the twice the momentum force on the other hand is the push or pull that is applied to an object to change its momentum

Answer 2

Answer:

$\maltese\underline{\textsf{\textbf{AnsWer :}}}\:\maltese✠$

Let initial momentum ($p_i$) be mu

Let final momentum ($p_f$) be mv

According to 2nd law of motion

$\frac{p_f - p_i}{t} \propto \: f$

$\implies \: f \propto \frac{mv \: - mu}{t}$

$\implies \: f \propto \frac{m(v - u)}{t}$

$f \propto \: ma \: \: \: \: \: \: ( \frac{v - u}{t } = a )$

To remove the proportionality sign. We would add k as the proportionality constant

$f = kma \\ f = ma \:$

because by the definition of force k = 1

$\footnotesize \longrightarrow\: \underline{ \boxed{\sf Force \:= \: mass \times \: acceleration}}$