How is that ??! Are you logging in from your smartphone or tablet ?kay said:I can't understand the expressions. They appear to be in the code form and not the actual formula types. :|
The conservation of energy and momentum is the consequence of invariance of the physical problem at hand under translation in time and position.kay said:What are the conditions necessary for applying the conservation of mechanical energy or the conservation of momentum? Can we apply these anywhere or do we require specific conditions which have to be fulfilled for applying them?
my2cts said:Why do you spell energy and momentum in capital letters
my2cts said:The conservation of energy and momentum is theconsequence of under translation in time and position.
The conservation of momentum is a fundamental principle in physics that states that the total momentum of a closed system remains constant. This means that in the absence of external forces, the total momentum of the system before an event must be equal to the total momentum after the event.
In collisions, the conservation of momentum dictates that the total momentum of the objects involved in the collision before the collision must be equal to the total momentum after the collision. This is true for both elastic and inelastic collisions, where the total kinetic energy may or may not be conserved.
The conservation of momentum and the conservation of mechanical energy are two separate principles. Conservation of momentum only applies to closed systems where no external forces act, while conservation of mechanical energy applies to systems where there are no non-conservative forces (such as friction) acting. In other words, the conservation of mechanical energy takes into account the potential energy of the system, while conservation of momentum does not.
In simple harmonic motion, the total mechanical energy (the sum of kinetic and potential energy) of the system remains constant. This is because no non-conservative forces, such as friction, are present in the system. As the object oscillates back and forth, its kinetic energy is constantly changing into potential energy and vice versa, but the total energy remains constant.
Conservation of momentum and conservation of mechanical energy are fundamental principles that are applied in many real-life situations, such as car collisions, rocket launches, and roller coaster rides. In these scenarios, the principles are used to calculate the velocities and energies of objects involved in the system. They are also applied in fields such as fluid dynamics, where the conservation of momentum is used to understand and predict the motion of fluids.