Question

what are the two different ways of deriving the formula of Newton's second law of motion? prove the equivalence.​

Answer 1

Answer:

Explanation:

let us consider an object of mass m , moving along a straight line with an initial  velocity u. let us say,after  a certain time t , with a constant acceleration ,the final velocity becomes v.here we say that ,the initial momentum

(p1)=m*u

the final momentum

(p2)=m*v

the change of momentum can be written as

p1-p2=(m*v)-(m*u)=m*(v-u)

as we know, the rate of change of momentum with respect to time is proportional to applied force

(F)directly proportional(m*(v-u)÷t

as acceleration =rate of change of velocity with respect to time

F=k*m*a  

this is second law of motion.