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Energy Transformations and Conservation, Lecture notes of Physics

An introduction to the basic concepts of energy, including its various forms and the fundamental principle of energy conservation. It covers the definitions and formulas for kinetic energy, potential energy, mechanical energy, and other forms of energy. The document also presents a problem-solving example that demonstrates the conversion between potential and kinetic energy for a falling object. Key concepts covered include the relationship between an object's velocity and its kinetic energy, the dependence of potential energy on height in a gravitational field, and the principle of energy conservation in a closed system. This information would be useful for students studying introductory physics, particularly those interested in understanding the fundamental principles governing energy and its transformations.

Typology: Lecture notes

2015/2016

Available from 10/05/2024

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PHYSICS: INTRODUCTION TO BASIC CONCEPTS
ENERGY
Energy is the capacity to do work or cause change. It exists in various forms and can be transferred between
objects or transformed from one form to another, but it cannot be created or destroyed. This is known as the Law
of Conservation of Energy.
Forms of Energy:
1. Kinetic Energy (KE):
oThe energy of motion.
oAny object that is moving has kinetic energy.
oFormula:
o
oWhere:
m = mass of the object (in kg)
v = velocity of the object (in m/s)
2. Potential Energy (PE):
oThe energy stored in an object due to its position or state.
oGravitational Potential Energy is the most common form, related to an object’s height above the
ground.
oFormula (for gravitational potential energy): PE= mgh
o Where:
m = mass of the object (in kg)
g = acceleration due to gravity (9.8 m/s²)
h = height above the ground (in meters)
3. Mechanical Energy:
oThe sum of kinetic and potential energy in a system.
oFormula: ME=KE+PE
4. Thermal Energy:
oThe energy of an object due to the random motion of its molecules or atoms. It is related to
temperature.
5. Chemical Energy:
oThe energy stored in the bonds of molecules and compounds. This energy can be released during
chemical reactions.
6. Nuclear Energy:
oThe energy stored in the nucleus of an atom, released during nuclear reactions such as fusion
and fission.
7. Electrical Energy:
oThe energy associated with the movement of electric charges.
8. Sound Energy:
oThe energy carried by sound waves, which are created by vibrating objects and propagated
through a medium (such as air or water).
9. Light (Radiant) Energy:
oThe energy carried by electromagnetic waves, such as visible light, radio waves, and X-rays.
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PHYSICS: INTRODUCTION TO BASIC CONCEPTS

ENERGY

Energy is the capacity to do work or cause change. It exists in various forms and can be transferred between objects or transformed from one form to another, but it cannot be created or destroyed. This is known as the Law of Conservation of Energy. Forms of Energy:

  1. Kinetic Energy (KE) : o The energy of motion. o Any object that is moving has kinetic energy. o Formula : o o Where:  m = mass of the object (in kg)  v = velocity of the object (in m/s)
  2. Potential Energy (PE) : o The energy stored in an object due to its position or state. o Gravitational Potential Energy is the most common form, related to an object’s height above the ground. o Formula (for gravitational potential energy): PE= mgh o Where:  m = mass of the object (in kg)  g = acceleration due to gravity (9.8 m/s²)  h = height above the ground (in meters)
  3. Mechanical Energy : o The sum of kinetic and potential energy in a system. o Formula : ME=KE+PE
  4. Thermal Energy : o The energy of an object due to the random motion of its molecules or atoms. It is related to temperature.
  5. Chemical Energy : o The energy stored in the bonds of molecules and compounds. This energy can be released during chemical reactions.
  6. Nuclear Energy : o The energy stored in the nucleus of an atom, released during nuclear reactions such as fusion and fission.
  7. Electrical Energy : o The energy associated with the movement of electric charges.
  8. Sound Energy : o The energy carried by sound waves, which are created by vibrating objects and propagated through a medium (such as air or water).
  9. Light (Radiant) Energy : o The energy carried by electromagnetic waves, such as visible light, radio waves, and X-rays.

Conservation of Energy The Law of Conservation of Energy states that energy cannot be created or destroyed, only transformed from one form to another. In a closed system, the total energy remains constant. For example, in the case of a falling object, gravitational potential energy is converted into kinetic energy as the object accelerates toward the ground. At any point during the fall, the total mechanical energy (kinetic + potential) remains constant, assuming no energy is lost to friction or air resistance. Problem: A 5 kg object is lifted to a height of 10 meters above the ground. It is then dropped. Find:

  1. The potential energy at the height of 10 meters.
  2. The kinetic energy just before it hits the ground.
  3. The velocity of the object just before it hits the ground. Solution: Step 1: Calculate Potential Energy at 10 Meters At the height of 10 meters, the object has only potential energy (no kinetic energy because it’s at rest).  Mass, m=5kg  Height, h=10m  Gravity, g=9.8m/s Using the formula for potential energy: Step 2: Calculate Kinetic Energy Just Before Hitting the Ground Just before hitting the ground, all of the potential energy is converted into kinetic energy (assuming no air resistance). Since energy is conserved: KE=PE=490 J Step 3: Calculate the Velocity Just Before Hitting the Ground Now that we know the kinetic energy, we can find the velocity using the kinetic energy formula: KE = ½ mv^2 Rearrange the formula to solve for v: