Question

Show that with the help of Newton's second law of motion one can prove other two laws of motion

Answer 1

Answer:

The rate of change of momenta is directly proportional to the applied unbalanced force in the direction of the force. This is the 2nd law of motion by Newton.

well if we equate all the formulas at once and solve it. It can be helped to prove the other 2 laws of motion easily.

Answer 2

1st law follows from 2nd law.Action force is equal to reaction force.

Given:

Newton's second law of motion.

To find:

With the help of Newton's second law of motion one can prove other two laws of motion.

Formula used:

Force = mass × acceleration

Explanation:

To prove Newtons 1st law from 2nd law.

F = M × a

If no external force acting on body.

F = 0

So, M × a = 0

or, a = 0

We know,

Setting a = 0, we have

Initial velocity = Final velocity

It implies that if no external force acts on the body then a body initially at rest will remain at rest, i.e, v = u = 0

Hence, 1st law follows from 2nd law.

Consider a system of two bodies X and Y are mutually interacting with each other such that no external force act on the system. Suppose that the body X exerts force F (XY), i.e , action force on Y and in turn B exerts F (YX) reaction force on A.

If and are rates of change of momentum of bodies X and Y respectively due to the forces F (XY) and F (YX ) acting on them, then

F ( XY ) =

F (YX ) =  $\frac{dp_2}{dt}$

Adding Both equation.

F (XY ) + F(YX ) = $\frac{dp_1}{dt}$ +  $\frac{dp_2}{dt}$

Since no external force acts on the system the total of momentum of the system must be constant. So, time rate of change of momentum is zero.

So, F ( XY ) + F ( YX ) = 0

Or F (XY ) = - F ( YX )

i.e, action force is equal to reaction force.

To learn more....

1)A 0.5 kg book rests on a table. A downward force of 9N is exerted on top of the book by a hand pushing down on the book.

(a) what is the magnitude of the gravitational force acting upon the book?

(b) what is the magnitude of the upward (normal) force exerted by the table on the book? (is the book accelerated?)

https://brainly.in/question/5894453

2)One of the effect of a force is to change the momentum define the quantity related to this and explain it for a variable force usually when do we define it instead of using the force.

https://brainly.in/question/14011092​