# The mass of a particle is m and momentum is p. Its kinetic energy will be

Share

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

The kinetic energy (K) of a particle is determined by its momentum (p) and mass (m) according to the formula K = p²/2m; option [D]. This equation illustrates that the kinetic energy is proportional to the square of the momentum and inversely proportional to twice the mass. Therefore, option [D]: p²/2m, correctly reflects this relationship. The term ‘p²’ represents the square of the momentum, while ‘2m’ is twice the mass of the particle. Dividing the square of the momentum by twice the mass yields the kinetic energy of the particle. This formula is fundamental in understanding the energy associated with the motion of particles and is widely used in various fields of physics, including mechanics and quantum mechanics, to analyze the behavior of particles in motion.