derive this equation:f=ma
Answers
Answered by
2
Hey!!! here is your answer ⬇ ⬇ ⬇
Force =mass×acceleration
Force =mass×acceleration
Answered by
1
Suppose an object of mass m has an initial velocity u. When a force F is applied in
the direction of its velocity for time t, its velocity becomes v.
∴The initial momentum of the object = mu
Its final momentum after time t = mv
∴ rate of change of momentum=mv-mu/t
('m' common) =m{(v-u)/t}
{What is v-u/t it is formula of accleration(a)}
∴ rate of change of momentum=ma (∵a=v-u/t)
According to Newton's second law of motion, rate of change of momentum
is proportional to applied force.
∴ma=F
k constant value 1
∴F=k m×a
F=m×a
∴The initial momentum of the object = mu
Its final momentum after time t = mv
∴ rate of change of momentum=mv-mu/t
('m' common) =m{(v-u)/t}
{What is v-u/t it is formula of accleration(a)}
∴ rate of change of momentum=ma (∵a=v-u/t)
According to Newton's second law of motion, rate of change of momentum
is proportional to applied force.
∴ma=F
k constant value 1
∴F=k m×a
F=m×a
Madhur745:
correct
Similar questions