Question

state and derive newtons second law of motion

Answer 1

Hello himank

Here's your answer

Newton's second law of motion gives an exact relationship between force, mass and acceleration.

Derivation:

Take two blocks A and B

Mass of A>mass of B

When you push them with the same force then B moves by more distance than the block A

That is, B accelerates more than A

Mass is inversely proportional to acceleration.....(1)

Now take two blocks A and B of the same mass and push block A with a greater force and block B with a lesser force.

When you do so, A moves further than B

That is A accelerates more than B

So, force is directly proportional to acceleration......(2)

From (1) and (2) we get that

Acceleration is directly proportional to force and inversely proportional to mass

Force is directly proportional to mass and acceleration

Inserting a constant k we get

f=kma

Let us define Unit Force (Newton) as that force which when acts on a body of Unit Mass (1 kg) produces Unit Acceleration (1 m/s²).

This means, Unit Force = k (Unit Mass)*(Unit Acceleration)

So k=1

So we get f=ma

The law states that the rate of change of momentum of a body is proportonal to the Force producing it and takes place in the direction in which the force acts.


Hope it helps!

Answer 2

1--If you want to make something move faster or slower, you have to give it a push. If you want to make it move in a different direction, you have to give it a push. If you want to move something that's just sitting there, you have to give it a push.

2--The heavier it is, the more you have to push it.

3--If you push something, it pushes back.