Question

Derive the value F=ma

Answer 1

p = momentum
m = mass
v= velocity
F=force
___________________________

we know
p= mv

therefore

dp/dt = d(mv)/dt
dp/dt = m dv/dt (mass is constant)
dp/dt = m x a. (dv/dt = a)

now by newtons second law force is directly proportional to rate of change of momentum(dp/dt)

F is proportional to dp/dt

therefore

F is proportional to ma

F=Kma (K = proportionality constant)

when K=1

F= ma