Question

Drive Newton 2 law

Answer 1

Hi

Here is your answer

Newton's 2nd Law and derivation of F = ma

Rate of change of momentum of a body is directly proportional to external force acting on it and takes place in the direction of force.

F directly proportional to dp/dt

We have,

lt ∆P/∆t = dp/dt -----> (1)

∆t = 0

F directly proportional to ∆P/∆t

For small time intervals from second law,

F directly proportional to dp/dt

But p = mv , the momentum

F directly proportional to d/dt (mv)

F directly proportional to mdv/dt

But dv/dt

F directly proportional to ma

Or F = k(ma) where k is proportionality constant.

If m = 1 unit
a = 1 unit
F = 1 unit

Then k = 1

Therefore F = ma



Hope it helps you !

Answer 2

Newton’s second law of motion
__________________________________________________________________________________________________________________________

Momentum, denoted p, can be defined as:

p = mass × velocity = mv

Momentum is a vector quantity and is expressed in SI units by kg m s−1 or equivalently by N s.

Newton’s second Law of Motion states that:
____________________________________________________________

The rate of change of momentum of a body is proportional to the resultant force acting on it and takes place in the direction of that force.

Newton’s second law can be written as F = d/dt(mv).
For bodies with constant mass, this reduces to F = m d/dt(v) = ma ,
where F = force (N),
m = mass (kg),
and a = acceleration (m s−2 ).