PPT-Force as gradient of potential energy

Force is equal to minus gradient of potential energy Definition of the operator nabla Nabla times a scalar function is gradient of the function and it is a vector 1 Example Find force if potential energy is . CAPA Set #9 due Friday at 10 pm. This week in Section: Lab #3 – Momentum. Reading – Chapter 7 on Momentum. Two . paths lead to the top of a big hill. . Path . #1 is steep and direct and Path #2 is twice as long but less steep. . Homework Assignment Help. Review Last Lecture. Energy and . Society. Today’s . Material:. Energy. Heat. Heat . Activity (Probably Next Monday). Homework 2: Wed 9/10/14. Chapter 3 Exercises 1, 2, 5, 6, 9, 10. Work. Work is defined as the force parallel to the direction of motion times the distance.. W = F. (parallel) . . . d = F d . cos. . θ. If the direction of the force is opposite of the motion, the work is considered to be negative.. Gravitational (U=. mgh. ) . Elastic (U=1/2kx. 2. ). Sometimes it is more helpful when you have potential energy as a function of Position to find Potential energy first and derive the force from there.. P. otential energy. T. otal mechanical energy. Energy conservation. Lecture 11: Potential energy. Conservative forces. A force is called . conservative. if the work it does on an object as the object goes between two points is . fig_03_022. Nicolaus Copernicus. Copernicus’ Universe. Contrast Copernicus with the Aristotelian Cosmos. GALILEO. Galileo Galilei 1564 - 1642. Galileo's most original contributions to science were in mechanics: he helped clarify concepts of acceleration,. Chapter 8. Copyright © 2014 John Wiley & Sons, Inc. All rights reserved.. 8-1. Potential Energy. Potential energy. . (symbol = . U. ) . is . energy . (Joules!). Associated . with . configuration. What is . electric . potential?. How does it relate to . potential energy. ?. How . does it relate to . electric field. ?. Some simple applications. Electric potential. What does it mean when it says “1.5 Volts” on the battery?. Turn in lab from yesterday. C . Test Takers:. Go over MC. Notes/Lecture . Variable Forces. Drag Equation Derivation. B Test Takers:. MOPing. on computers . (. pick a problem area). Calculating Work a Different Way. Conservation of energy . Conservative and non-conservative forces. Chapter 8: Potential Energy and Conservation of Energy. Reading assignment: Ch. 8.1 to 8.5. Homework: QQ4, QQ5, AE7, AE8, AE11, 3, 6, 7, 10, 14, 15, 16, 22, 29, 40, 63. It takes . work. to lift a mass against the pull (force) of gravity. The force of gravity is . m. ·. g. , where . m. is the mass, and . g. is the gravitational . acceleration. F . = mg. (note similarity to . Nature of science: . Theories: Many phenomena can be fundamentally understood through application of the theory of conservation of energy. Over time, scientists have utilized this theory both to explain natural phenomena and, more importantly, to predict the outcome of previously unknown interactions. The concept of energy has evolved as a result of recognition of the relationship between mass and energy.. Why not?. Does energy just disappear? No!. Law of Conservation of Energy. : energy cannot be created nor destroyed.. -energy can change forms. 1. st. Law of Thermodynamics. : energy can do work, or produce heat, but it is always conserved.. Energy associated with forces that depend on the position or configuration of a body. Objects acquire potential energy when work is done on it. As an object loses potential energy, it can do work. Potential energy is the capacity to do work even if not doing work yet.