Login

 derive f=ma

Dear Student,

From Newton's second law of motion we know, the rate of change of momentum of an object is directly proportional to the unbalanced force acting on it. So,

We also know that momentum is the motion contained in a body. It is the product of mass and velocity of the body i.e.

Now, consider a body of mass 'm' moving with initial velocity 'u', final velocity 'v' in time 't'. Then,

  • 45
View Full Answer

according to second law of motion

force = rate of change of momentum

let momentum be denoted by P
and force by f

then acording to 2nd law of motion

f = dP/dt

now P = mv

where
m is mass and v is velocity

f = d(mv)/dt

now mass is constant so,
( not talking about the concept of variable mass)

f=m*(dv/dt)

i.e. f = m*a because a = dv/dt
where a is acceleration

  • 6
What are you looking for?