### Is Newton laws are dependent or independent?

Sunday, 21 February 2021

Physics

**Is Newton laws are dependent or independent?**

Newton gave three laws so called Newton's first law, Newton's second law, and Newton's third law.

- According to Newton's first law, the object which is in rest always stay in the state of rest. But the object which is in motion, always continue in motion. If there will be no any external forces disturbed them.
- According to Newton's second law, the force is directly proportional to the mass and acceleration of a body.

- According to Newton's third law, all the actions has its equal and opposite reaction.

Newton's laws are dependent to each other. Means Newton's second law can be derived from its first law and third will be from second. So, yes Newton law are dependent. Here are the example for more illustration.

For example:- As we know that, Newton's second law says that the force is directly proportional to the rate of change of momentum.

F = change of momentum / time

F = m(v-u)/t ----------(1)

F = force

m = mass

v = final velocity

u = initial velocity

t = time

Now, according to first law object will always be at rest. That means in first law there is no force acting on a body. So F = 0.

From equ. 1, we get

0 = m(v-u)/t

v = u

Initial velocity = final velocity

That means the body didn't move at all. It remains the state of rest.

Hence, Newton's first law proved by Newton's second law.