# Kinetic energy and velocity have a relationship

### Relation between momentum and kinetic energy

Having gained this energy during its acceleration the body maintains this The kinetic energy depends on the mass velocity of an object. As the roller coaster train begins its descent from the lift hill, its velocity increases. This causes the train to gain kinetic energy, which is the energy of motion. The relationship between force and energy can be derived from the aforementioned 2nd law: For a platform-based observer, the car has 50kJ of kinetic energy and the car move at opposite directions at the same velocity.

### Ways to Increase Kinetic Energy | Sciencing

Early understandings of these ideas can be attributed to Gaspard-Gustave Corioliswho in published the paper titled Du Calcul de l'Effet des Machines outlining the mathematics of kinetic energy. William Thomsonlater Lord Kelvin, is given the credit for coining the term "kinetic energy" c. These can be categorized in two main classes: Kinetic energy is the movement energy of an object. Kinetic energy can be transferred between objects and transformed into other kinds of energy.

For example, a cyclist uses chemical energy provided by food to accelerate a bicycle to a chosen speed. On a level surface, this speed can be maintained without further work, except to overcome air resistance and friction.

The chemical energy has been converted into kinetic energy, the energy of motion, but the process is not completely efficient and produces heat within the cyclist.

Relation between Kinetic Energy and Momentum (GA_M-WPE23)

The kinetic energy in the moving cyclist and the bicycle can be converted to other forms. For example, the cyclist could encounter a hill just high enough to coast up, so that the bicycle comes to a complete halt at the top. The kinetic energy has now largely been converted to gravitational potential energy that can be released by freewheeling down the other side of the hill. Since the bicycle lost some of its energy to friction, it never regains all of its speed without additional pedaling.

The energy is not destroyed; it has only been converted to another form by friction.

## Kinetic energy

Alternatively, the cyclist could connect a dynamo to one of the wheels and generate some electrical energy on the descent. The bicycle would be traveling slower at the bottom of the hill than without the generator because some of the energy has been diverted into electrical energy. Another possibility would be for the cyclist to apply the brakes, in which case the kinetic energy would be dissipated through friction as heat.

Like any physical quantity that is a function of velocity, the kinetic energy of an object depends on the relationship between the object and the observer's frame of reference. Thus, the kinetic energy of an object is not invariant. I hope this answered your question and piqued your interest, Mark Follow-Up 1: Kinetic Energy is Relative Q: Kinetic energy is entirely relative. For a platform-based observer, the car has 50kJ of kinetic energy 0.

Thus the car has no kinetic energy 0. If the driver were to hit the brakes a very funny thing happens.

To the platform-based observer the car decelerates and stops: But for the ground-based observer the exact opposite happens! The car accelerates in the direction of the moving platform and some of the kinetic energy of the platform is transfered to the car. That transfer of energy creates heat and heats up the brakes.

So kinetic energy along with maaany other things is reference-frame dependent. Only a car moving exactly at c would not be reference-frame dependent, but moving at c is impossible. In that sense, kinetic energy is not something that has an exclusive physical existence as if the car kinetic energy is the same regardless of the reference frame.

Considering this, we can hardly say that a force is converted to kinetic energy. This reminds me of a funny sentence: Is the motion of westwards moving airplane that moves at the same speed of the Earth's rotation according to the airplane's latitude is due to its motors pushing out compressed air or is due to the fact the Earth is really spinning on itself under the airplane?

Both answers are correct! Boy, how relativity is awesome! You're certainly right that kinetic energy is relative, depending on the choice of reference frame. That's part of Newtonian physics, although the form of the dependence on reference frame is different in modern relativity.