Question

State Newtons Second law of motion and its formula derivation.​

Answer 1

Answer: Newton's Second law of motion says that: the "Rate of change of momentum of a body is directly proportional to the applied force on the body."

Explanation: Let The force applied on a body be 'F', and the change in momentum of the body in 't' time is 'p' then according to the above statement:

1. F∝
`(dp)/(dt)`

2. F=k.
`(dp)/(dt)` (where k is the proportionality constant)

3. F=k.
`(d(m.v))/(dt)` (momentum = velocity x mass)

4. F= k.(m.
`(dv)/(dt)+v(dm)/(dt)`) (separation formula of derivation)

5. F=
`k(m.a+v.0)` (at low-speed mass does not vary with time so,
`(dm)/(dt)=0`)

6. F= k.m.a (for unit mass to produce 1 m/
`s^(2)` acceleration 1-newton force is required hence in SI units: k=1 )

7. F=m.a (this is the equation for the second law of motion)

Answer 2

Newtons Second Law of motion states that"The rate of change of momentum is directly proportional to the force applied"

This means that,

◎ F = △P/t

◎ F = P2-P1

t

since P(momentum) = MV

◎ F=MV2-MV1

t

◎ F= M(V2-V1)

t

V2 - V1 = a

⊙ F= ma