What formula represents kinetic energy?

The formula for kinetic energy is represented as KE = 1/2 mv^2, where KE stands for kinetic energy, m represents the mass of the object, and v symbolizes its velocity. This equation indicates that kinetic energy is directly proportional to the mass of the object and the square of its speed.

The reasoning behind this involves the relationship between motion and energy. As an object's mass increases, it possesses more kinetic energy at the same velocity. Similarly, even a small increase in velocity results in a significant increase in kinetic energy since the speed is squared in the formula. This reflects the nature of moving objects and how their energy is influenced by both their mass and velocity.

In the context of the other formulas provided, while they relate to various physics principles, they do not define kinetic energy. For instance, the formula PE = mgh represents potential energy, specifically gravitational potential energy. The equation p = mv defines momentum, which connects mass and velocity but is distinct from energy. The formula w = fd expresses work done in terms of force and displacement. Each of these plays a role in the mechanics of physics, but only KE = 1/2 mv^2 specifically encapsulates the concept of kinetic energy.