Question

write down the mathematical representation of Newton's first, second and third law of motion and write the meaning of all the symbols used in it.​

Answer 1

Answer:

Newton’s First Law of Motion also known as Law of Inertia states that every object persists to stay in uniform motion in a straight line or in the state of rest unless an external force acts upon it.Newton’s Second Law of Motion states that force is equal to the change in momentum per change in time. For a constant mass, force equals mass times acceleration, i.e. F = m*a.Newton’s Third Law of Motion states that for every action there is an equal and opposite reaction.

Answer 2

Answer:

Newton’s second law of motion states that the force exerted by a body is directly proportional to the rate of change of its momentum. For a body of mass ‘m’, whose velocity changes from u to v in time t, when force ‘F’ is applied.

F∝ Time/Changeinmomentum

F∝ t/mv−mu

F∝m( t/v−u

⇒F∝ma⇒F=kma(∵a= t/v−u

⇒F=ma(∵k=constant=1)