the formula for kinetic energy is and the formula for momentum is .I ran into these in physics class long ago and was really bothered by the first formula.
Radiocarbon dating is used to work out the age of things that died up to 50,000 years ago. As far as working out the age of long-dead things goes, carbon has got a few things going for it. The proteins, carbohydrates and fats that make up much of our tissues are all based on carbon.Everything from the fibres in the Shroud of Turin to Otzi the Iceman has had their birthday determined the carbon-14 way. There's plenty of hydrogen, oxygen and nitrogen in living things too, but carbon's got something none of them do — a radioactive isotope that can take thousands of years to decay.However, when the variables aren’t constant finding the work done requires integration.The question of this post is one of the big reasons behind why calculus was originally invented.(You can read up on radioactivity and isotopes here).
Carbon-14, the radioactive version of carbon, is rare — it only makes up one trillionth of all the carbon in the world.Answer Gravy: Energy or work is force times distance: E=FD.When all the variables are constant finding the work done is just a multiplication away.Whatever v(T) is, it’s the velocity of the object when we’re done.So, the energy gained by an object that starts at rest and is pushed up to some speed v is . What we’ll calculate is the energy gained by an object that starts at rest, is pushed by a force F(x) over a distance D, and moves from position x=0 at time t=0 to position x=D at time t=T.