Relation of kg and newton clear please with formulae
Answers
answer.
The relation between Newtons and kilograms, with respect to work / kinetic energy, is actually just through Newton's Second Law!
Here we are not mixing up Newtons and kilograms (forces and masses). The mass plays a role in the kinetic energy equation precisely because mass plays a role in how much force it takes to accelerate an object from rest to a speed v.
Example.
Consider for instance an object which has a mass of, say, 0.1019 kg. The gravitational force that this body experiences at the surface of the Earth is −1 N (that is, a downward force), if we take g = −9.81 m/s². If we hold this object from a height of one meter, and allow it to drop, gravity performs work on this object, exerting a force of −1 N over a (downward) displacement of −1 m. As a result, just before impacting the ground, the object will have 1 Joule of kinetic energy, as (−1 N) · (−1 m) = +1 J; gravity will have done 1 Joule worth of work on the object, which causes it to move with 1 Joule worth of kinetic energy.
In the examples you give, the correspondence that you're looking for is between mass and the gravitational force that it exerts. When you say that you take "1 Newton" and lift it one meter, the 'Newton' you're referring is one Newton of force exerted downward by an object with some mass — or more to the point, the one Newton which would be the minimum necessary to raise it steadily by opposing gravity.
Explanation:
The relation between Newtons and kilograms, with respect to work / kinetic energy, is actually just through Newton's Second Law!