Question

derive second law of motion from first law of motion​

Answer 1

Answer:

May be

Explanation:

first law states that a body stays at rest if it is at rest and moves with a constant velocity unit if a net force is applied on it. Newton's second law states that the net force applied on the body is equal to the rate of change in its momentum. That is, when F = 0, v = u for whatever

Answer 2

Answer:

We know,  

Newton's second law of motion states that rate of change of momentum of an object is directly proportional to the applied force and takes place in the direction in which the force acts.  

Thus,  

Force ∝ Change in momentum/Time

Thus,

F = m(v-u)/t

             

 

Where,  

F - Force applied

m - mass

v - final velocity of an object  

u = initial velocity of an object

If there is no force acting on the body, the equation (1) can be written as,  

 

0 = v-u  

 

→ v = u ...

 

This means initial velocity is equal to final velocity when no force acts on the body.  

 

Thus, equation (2) represents Newton's first law of motion.  

Newton's first law of motion states that a body at rest will remain at rest and body in motion will remain in motion in straight line with a uniform speed, unless an external force acts on it.  

 

In this way, we can derive Newton's first law of motion from Newton's second law of motion.