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POTENTIAL ENERGY AND
ENERGY CONSERVATION
Reported by:
Ida Lyn A. Azuelo
BSED Physics 3
Physics for Secondary Teachers 1
Potential Energy
• The energy associated with the position of a
system rather than its motion
Gravitational Potential Energy
• Potential energy associated with a body’s
weight and its height above the ground
m – mass of the
body
s – displacement
y - vertical
components
w – weight (mg)
Fother - some forces
acting on the body
m – mass of the
body
s – displacement
y - vertical
components
w – weight (mg)
Fother - some forces
acting on the body
The quantity
(y1 –y2) is negative,
and Wgrav is
negative because
the weight and
displacement are in
opposite direction.
Gravitational Potential Energy
Conservation of MechanicalEnergy
(Gravitational Forces Only)
Work- Energy TheoremWtot = ΔK = K2 - K1
Wtot = Wgrav = -ΔUgrav = Ugrav,1 - Ugrav,2
ΔK = -ΔUgrav
K2 - K1 = Ugrav,1 - Ugrav,2
K1 +Ugrav,1 = K2 + Ugrav,2
If only gravity does
work
E = K + Ugrav
Potential
energy
kinetic
energy
E1 = K1 + Ugrav,1 E2 = K2 + Ugrav,2
When only the force of gravity does work,
the total mechanical energy is constant—
that is, it is conserved.
CONSERVATION OF
MECHANICAL
ENERGY
Problem Sample
You throw a 0.145-kg baseball straight up, giving it an
initial velocity of magnitude 20.0 m/s. Find how high it
goes, ignoring air resistance.
When ForcesOther Than Gravity Do Work
Wother + Wgrav = K2 - K1
Wgrav = Ugrav,1 - Ugrav,2
Wother + Ugrav,1 - Ugrav,2 = K2 - K1
K1 +Ugrav,1 = K2 + Ugrav,2
If forces other than gravity do work
Elasticpotential energy
• The process of storing energy in a deformable
body such as a spring or rubber band in terms
of elastic potential energy.
• A body is called elastic if it returns to its
original shape and size after being deformed.
F = kx
F – force on the spring
k - force constant of the spring
x - displacement
Work done on a
spring
Work done by a
spring
Elastic Potential Energy
The work done by all forces other than the
gravitational force or elastic force equals
the change in the total mechanical energy E
= K + U of the system, where U = Ugrav +
Uel is the sum of the gravitational potential
energy and the elastic potential energy.
Conservative Force
and
nonConservativeForce
A force that offers this opportunity of
two-way conversion between kinetic
and potential energies
A force that is not conservative
Energy is never created or destroyed; it only
changes form.
THANK YOUFOR
LISTENING!!!!
POTENTIAL ENERGY AND
ENERGY CONSERVATION
Reported by:
Ida Lyn A. Azuelo
BSED Physics 3
Physics for Secondary Teachers 1

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Potential and Conservation Report

  • 1. POTENTIAL ENERGY AND ENERGY CONSERVATION Reported by: Ida Lyn A. Azuelo BSED Physics 3 Physics for Secondary Teachers 1
  • 2. Potential Energy • The energy associated with the position of a system rather than its motion
  • 3. Gravitational Potential Energy • Potential energy associated with a body’s weight and its height above the ground
  • 4. m – mass of the body s – displacement y - vertical components w – weight (mg) Fother - some forces acting on the body
  • 5. m – mass of the body s – displacement y - vertical components w – weight (mg) Fother - some forces acting on the body The quantity (y1 –y2) is negative, and Wgrav is negative because the weight and displacement are in opposite direction.
  • 7. Conservation of MechanicalEnergy (Gravitational Forces Only) Work- Energy TheoremWtot = ΔK = K2 - K1 Wtot = Wgrav = -ΔUgrav = Ugrav,1 - Ugrav,2 ΔK = -ΔUgrav K2 - K1 = Ugrav,1 - Ugrav,2 K1 +Ugrav,1 = K2 + Ugrav,2 If only gravity does work
  • 8. E = K + Ugrav Potential energy kinetic energy E1 = K1 + Ugrav,1 E2 = K2 + Ugrav,2
  • 9. When only the force of gravity does work, the total mechanical energy is constant— that is, it is conserved. CONSERVATION OF MECHANICAL ENERGY
  • 10.
  • 11. Problem Sample You throw a 0.145-kg baseball straight up, giving it an initial velocity of magnitude 20.0 m/s. Find how high it goes, ignoring air resistance.
  • 12.
  • 13. When ForcesOther Than Gravity Do Work Wother + Wgrav = K2 - K1 Wgrav = Ugrav,1 - Ugrav,2 Wother + Ugrav,1 - Ugrav,2 = K2 - K1 K1 +Ugrav,1 = K2 + Ugrav,2 If forces other than gravity do work
  • 14. Elasticpotential energy • The process of storing energy in a deformable body such as a spring or rubber band in terms of elastic potential energy. • A body is called elastic if it returns to its original shape and size after being deformed.
  • 15. F = kx F – force on the spring k - force constant of the spring x - displacement
  • 16. Work done on a spring Work done by a spring
  • 18.
  • 19. The work done by all forces other than the gravitational force or elastic force equals the change in the total mechanical energy E = K + U of the system, where U = Ugrav + Uel is the sum of the gravitational potential energy and the elastic potential energy.
  • 20. Conservative Force and nonConservativeForce A force that offers this opportunity of two-way conversion between kinetic and potential energies A force that is not conservative
  • 21. Energy is never created or destroyed; it only changes form.
  • 23. POTENTIAL ENERGY AND ENERGY CONSERVATION Reported by: Ida Lyn A. Azuelo BSED Physics 3 Physics for Secondary Teachers 1