# Newton's second law - Law deriving impulse moment principle

Q.  Which of the following laws derive impulse moment principle?
- Published on 18 Sep 15

a. Newton's 3rd law
b. Newton's 2nd law
c. Newton's 1st law
d. All of the above

#### Discussion

• Sravanthi   -Posted on 16 Dec 15
- Newton's second law is stated as follows:

The sum of external forces acting on an object is equal to the product of mass and acceleration of the object.

Impulse moment principle can be derived by Newton's 2nd as follows:

Force = mass x acceleration

F = ma

Acceleration (a) = dv / dt

F = m (dv / dt) ------ (1)

Integrating the equation (1),

0t F dt = m uv dv ------------- ( u is the initial velocity and v is the final velocity)

F x t = mv – mu

Impulse can be defined as the integral of force (F) over the time interval (t).

Momentum is defined as the product of mass and velocity possessed by an object.

Impulse = F x t

Therefore,

Impulse = Change in momentum

Hence, the impulse-momentum theorem is derived from Newton's second law of motion.

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