Classical Mechanics Problem Based On Conservation Of Energy

Thread starter KingOfDirewolves
Start date Sep 10, 2019
Tags

Classical Classical mechanics Conservation Conservation laws Conservation of energy Energy Mechanics Newtonian mechanics Work and energy

In summary, the principle of conservation of energy states that energy cannot be created or destroyed, only transformed. In classical mechanics, this principle is applied to various systems and is used to solve problems involving motion and energy. A conservation of energy problem in classical mechanics involves using the principle to analyze and solve a physical system. To solve these types of problems, one must identify the system, set up an energy equation, and use algebraic manipulation to find the unknown variables. Real-life examples of classical mechanics problems based on conservation of energy include pendulums, roller coasters, and bouncing balls.

Sep 10, 2019

KingOfDirewolves

Homework Statement: A block of mass "m" kept on a fixed ground is connected to a spring. The spring is currently in it natural length "L". We mark a point "P" on the spring at height "0.8L". The block is of negligible height. An external force is acting on the spring such that it's acceleration is zero and after some time the point "P" reaches height "L" Find the Work done by the External Force.

Relevant Equations: None

I have tried using Conservation of Energy but I'm getting incorrect answer.

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Sep 10, 2019

BvU

Science Advisor

Homework Helper

Hello your majesty, :welcome:

KingOfDirewolves said:

but I'm getting incorrect answer.

Tell us what you did to get it -- PF requires it before we can help

1. What is conservation of energy in classical mechanics?

In classical mechanics, the principle of conservation of energy states that the total energy of an isolated system remains constant over time. This means that energy can neither be created nor destroyed, but can only be transformed from one form to another.

2. How is conservation of energy applied in problem solving in classical mechanics?

In classical mechanics, conservation of energy is often applied to solve problems involving the motion of objects. By considering the initial and final energies of a system, one can determine the work done by forces and the resulting changes in the system's kinetic and potential energy.

3. Can conservation of energy be violated in classical mechanics?

No, conservation of energy is a fundamental principle in classical mechanics and has been observed to hold true in all physical systems. However, in certain cases such as systems involving nuclear reactions or gravitational collapse, a small amount of energy may be converted into mass according to Einstein's famous equation, E=mc².

4. What are some real-life examples of conservation of energy in classical mechanics?

Some common examples of conservation of energy in classical mechanics include a pendulum swinging back and forth, a roller coaster moving along a track, and a ball rolling down a hill. In each of these cases, the total energy of the system (kinetic and potential) remains constant.

5. Is conservation of energy a universal law in physics?

Yes, conservation of energy is a fundamental principle in physics and is considered to be a universal law. It applies not only in classical mechanics, but also in other branches of physics such as thermodynamics, electromagnetism, and quantum mechanics.