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Kinetic energy

physical science Maturity 11-13 Next article →

Kinetic energy is the form of energy an object possesses because of its motion. It is one of two main classes of energy, the other being potential energy. While energy can exist in many forms, such as chemical, thermal, or nuclear, kinetic energy specifically describes the energy of movement. This energy is not fixed; it can be transferred between objects or transformed into different types of energy.

Wooden roller coaster txgi
Wooden roller coaster txgi

In classical mechanics, the amount of kinetic energy depends on an object's mass and its speed. For a non-rotating object, the kinetic energy is equal to one-half the product of its mass and the square of its speed. This relationship is expressed by the formula E = 1/2mv². This means that if you double the speed of an object, its kinetic energy does not just double. Instead, it becomes four times larger because the energy increases with the square of the velocity. For example, a car traveling at twice the speed of another requires four times the distance to stop if the braking force remains constant.

Kinetic energy is also deeply connected to the concept of work. The kinetic energy of an object is equal to the work needed to accelerate it from a state of rest to its current speed. Work is defined as the force applied in the direction of motion multiplied by the object's displacement. The same amount of work is required to decelerate that object back to a state of rest. In the International System of Units, energy is measured in joules. In the English system, it is measured in foot-pounds.

We can observe kinetic energy transforming through various processes in daily life. Consider a cyclist who uses chemical energy from food to pedal a bicycle. As they increase their speed, that chemical energy is converted into kinetic energy. If the cyclist coasts up a hill, their kinetic energy is converted into gravitational potential energy. When they apply the brakes, the kinetic energy is dissipated through friction and turned into thermal energy, or heat.

KEvsMOMENTUM
KEvsMOMENTUM

Kinetic energy can also be passed from one object to another during a collision. In a game of billiards, a player uses a cue stick to give kinetic energy to a cue ball. When the cue ball hits another ball, it slows down as its kinetic energy is transferred to the second ball. If the collision is elastic, the kinetic energy is preserved. However, in an inelastic collision, some kinetic energy is lost to other forms, such as sound, heat, or the energy used to break structures.

Understanding kinetic energy has required centuries of scientific discovery. The term "kinetic" comes from the Greek word "kinesis," meaning motion. Early scientists like Gottfried Leibniz and Johann Bernoulli described this force as "vis viva," or living force. In 1722, Willem 's Gravesande provided experimental evidence by dropping weights into clay. He observed that the depth of the impact was proportional to the square of the impact speed.

Emilie Chatelet portrait by Latour
Emilie Chatelet portrait by Latour

Émilie du Châtelet was a vital figure in this history, as she recognized the implications of Gravesande's experiments and published an explanation. Later, in 1802, Thomas Young was the first to use the term "energy" in its modern sense. In 1829, Gaspard-Gustave Coriolis published the mathematics regarding the effect of machines. Finally, around 1849, William Thomson, later known as Lord Kelvin, is credited with coining the specific term "kinetic energy."

Emilie Chatelet portrait by Latour
Emilie Chatelet portrait by Latour

While classical formulas work for everyday speeds, different rules apply in extreme conditions. If an object moves at a speed comparable to the speed of light, relativistic mechanics must be used instead of classical formulas. Similarly, on an atomic or sub-atomic scale, scientists must use a quantum mechanical model. Kinetic energy also exists in rotating bodies, known as rotational kinetic energy. This is calculated based on the object's moment of inertia and its angular velocity.

KEvsMOMENTUM
KEvsMOMENTUM
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