A spring mass system is a simple mechanical system that consists of a mass attached to a spring. The spring provides a restoring force which causes the mass to oscillate back and forth around its equilibrium position.
Kinetic energy in a spring mass system is the energy possessed by the mass due to its motion. As the mass oscillates back and forth, it gains kinetic energy at the expense of potential energy stored in the spring.
Potential energy in a spring mass system is calculated using the formula PE = 1/2kx^2, where k is the spring constant and x is the displacement of the mass from its equilibrium position. This formula assumes that the spring is ideal and obeys Hooke's law.
The mass of the object attached to the spring affects the energy of the system by determining the amplitude of the oscillations. A heavier mass will have a larger amplitude, resulting in a higher kinetic and potential energy.
The kinetic and potential energy of a spring mass system can be affected by factors such as the mass of the object, the stiffness of the spring, and the amplitude of the oscillations. Other factors that can affect the energy include damping effects and external forces acting on the system.