How is kinetic energy calculated?

Kinetic energy is calculated using the formula KE = 1/2 mv², where "m" represents mass and "v" represents velocity. This formula indicates that kinetic energy is directly proportional to the mass of an object and the square of its velocity. The reason for the velocity being squared in the equation is based on the principles of physics regarding motion. As an object moves faster, its kinetic energy increases dramatically; for instance, doubling the speed of an object results in quadrupling its kinetic energy because of the squared term.

This formula is derived from the work-energy principle, which states that the work done on an object is equal to the change in kinetic energy of that object. When a force is applied to an object causing it to accelerate, the work done translates into kinetic energy.

Understanding this formula is critical for solving problems related to motion and energy, as it allows for the calculation of how much energy an object has due to its motion.