Statement-1: For a system of particles, total encrgy of the...

Statement-1: For a system of particles, total encrgy of the system can change coen if net forec acting on the system is zero. Statement-2 : If net force on a system of particles is zero, total momentum can nol change.

Key Concepts

Momentum Conservation

This concept states that the total momentum of a system remains constant if no net external force is acting on it. It is a fundamental principle in physics derived from Newton’s laws and applies to closed systems, meaning that momentum before and after any interaction remains unchanged as long as external forces are absent.

Energy Conservation

Energy conservation refers to the principle that, in a closed system, energy cannot be created or destroyed but may convert from one form to another. While the total energy is conserved, the form of the mechanical energy (such as kinetic and potential energy) of a system of particles can change due to internal interactions even if the net external force is zero.

Systems of Particles

A system of particles consists of multiple objects that interact with one another. In such systems, internal forces can cause changes in the distribution of energy among the particles, leading to variations in forms of energy without affecting the overall momentum when the net external force is zero.

Net Force

Net force is the vector sum of all forces acting on a system. It is crucial in determining the acceleration of the center of mass of the system. A zero net external force implies that the momentum of the system remains constant, but it does not necessarily imply that all forms of energy remain unchanged due to possible internal work.

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