# why is force in newton second law describe as it is proportional to the rate of change of momentum?

Why is force in newton second law describe as it is proportional to the rate of change of momentum?

I thought that force is known as rate of change of momentum, why did newton law said it is proportional to the rate of change of momentum instead?

### 2 Answers

- gintableLv 79 years agoBest Answer
Because he wasn't sure if there was or wasn't to be inserted a proportionality factor. It turned out, force hadn't been formally defined. So he, being the first...installed a proportionality factor of unity...hence upgrading it from proportionality to equation.

- olympeLv 43 years ago
while the object hits the floor its velocity changes very promptly from some great cost to 0. this is an exceptionally great acceleration and the strain exerted by potential of the floor on the object is somewhat great. on your occasion if the a physique falls from 30 meters (approximately a hundred ft) its velocity merely in the previous it hits the floor is approximately 24 m/s. assume the object falls on a perplexing floor and makes a dint a million mm deep. Assuming there's a relentless deceleration for the period of the effect, you may artwork out the deceleration by potential of the often happening formulation, a = v^2 / (2h). that provides a = 24^2 / 0.002 = 288,000 m/s^2. If the mass of the object became a million kilogram, the standard tension on it for the period of the effect could be approximately 288,000 Newtons in comparison with its weight of 9.8 Newtons. this is the reason it breaks. The effect tension has no longer something to do with gravity. It happens because of the fact the atoms interior the object and the floor are compelled close mutually interior the effect, and the electrons surronding the atoms repel one yet another. gravity is an exceptionally susceptible tension in comparison with electric and magnetic forces. Gravity basically seems great because of the fact we are on the factor of an merchandise with an exceptionally great mass (the earth).