Question

obtain an expression for the first law of motion from the second law of motion​

Answer 1

Answer:

Answer:

Newton's First Law of Motion :-

❤️If external force becomes zero a body at rest position it continues in that position is called " First law of motion " .

Newton's second law of motion :-

❤️The rate of change of momentum is directly proportional to external force acting on the body and body is moving in the direction of force is called " Second law of motion " .

===> From the definition of Newton's second law

F inversely proportional to dp/dt => eqn

Now momentum

p = mv ===> eqn 2

Substitute p = mv in eqn 1

F inversely proportional to d ( mv ) / dt

F inversely proportional to m ( dv/dt )

Here d/dt will change

F inversely proportional to m [ dv/dt ]

[ there fore dv/dt = a ]

F inversely proportional to ma

F = kma [ k = force constant ]

if k = 1 ===> F = ( 1 ) ma

====> F = ma .