Question

To prove Force= mass×acceleration

Answer 1

=> f directly lroportional to mv - mu / t
=> f d.p m(v-u) / t
=> f = k{ m(v-u)/t}
=> f = m(v-u) / t { k =1 }
=> f = ma ( a = v-u/t)♤
=> f = ma
PROVED.

Answer 2

as we know that

F is directly proprtional to dP/dt where P=momentum

let

F=kdP/dt

where k is any constant

as P=mv

F=kd(mv)/dt

F=kmdv/dt

as dv/dt=a

F=kma

experimentally k=1

therefore

F=ma

hope this helps