Chapter 7 : Conservation of Energy

CHEE ZI QING A20SC0043

Conservative and Non conservative Forces

Potential Energy

Mechanical Energy and its Conservation

Problem Solving Using Conservation of Mechanical Energy

The Law of Conservation of Energy

Energy Conservation with Dissipative Forces: Solving Problems

Power

Gravitational Potential Energy and Escape Velocity

Potential Energy Diagrams:Stable and Unstable

conservative = object moving any closed path is zero

conservative forces : Gravitational, Elastic, and Electric

non conservative forces : Friction, Air resistance, Tension

can be transformed but cannot be destroyed or created

U=mgh (h=y2-y1) = (1/2)kx^2

when the object is droped U(potential energy) becomes K (kinetic energy)

F = -kx (hookes law about the spring compressed or stretch

E (total mechanic energy) = K + U

Mechanical energy is conserve, so the intial=final

Using the formula of E = K+U

P (Watt / Js^-1) = Force x velocity (Fv)

P = Energy / Time (E/t)

Example of nonconservative or dissipative forces is friction, heat, Electrical/ Chemical energy......

total amount of energy remains constant

Gravitational Force, F(Newton)= -GMm/R^2, negative sign indicate attractive

gravitational field strenght, g (ms^-2)= -GM/ r^2

Gravitational Potential energy, U(Joule)= -GMm/ r

Escape velocity, V = (2gR)^1/2

kinetic energy, K= GMm/ 2r

rate of work is done