講者：許永昌老師 1. Contents A “Natural Money” called Energy 但是， money 事實上是 “ 無定的 ” 。 Kinetic Energy and Gravitational Potential Energy Elastic Force and Elastic.

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Presentation transcript:

講者：許永昌老師 1

Contents A “Natural Money” called Energy 但是， money 事實上是 “ 無定的 ” 。 Kinetic Energy and Gravitational Potential Energy Elastic Force and Elastic Potential Energy Elastic Collisions Energy Diagrams Molecular Bonds 2

A “Natural Money” called Energy ( 請預讀 P267~P268) 3 Key Points: Transform: L 與 S 可互相交換而不會損失, i.e. L+S=W, W is a constant. Transfer: Income I & Expenditure E Before  After (for system) W i (I & E) W f =W i +I  E

Kinetic Energy and Gravitational Potential Energy ( 請預讀 P269~P277) 4 F net N v, dr FGFG

Exercises Energy bar chart for a ball slide down a slides A block slides down a frictionless ramp of height h. It reaches velocity v at the bottom. To reach a velocity of 2v, the block would need to slide down a ramp of height a. 1.41h b. 2h c. 3h d. 4h e. 6h 5 h 1. y=0 m 2. y=0 m

Law of Conservation of Mechanical Energy ( 請預讀 P277) 6 E=K+UE=K+U Energy into systemEnergy out of system ( 千萬不要用背的，因為它是有條件的 )

Homework Student Workbook

Summary I Law of Conservation of Mechanical Energy 8 E=K+UE=K+U Energy into systemEnergy out of system

Action: spring ( 請預讀 P278~P284) Purpose: The significance of spring constant. The mathematical formula of a spring force. Actors and Objects: One student. Two springs. Actions: How would you characterize the difference of the springs? The mathematical formula of the spring force. 9

Spring forces 10 0 xexe x C B EE as if

Elastic Potential Energy ( 請預讀 P280~P284) Situation: The elastic potential energy for a ball attached to a spring. System: ball Elastic Potential energy: U= ½ k  x 2. Because: Energy bar chart: 11 0 xexe x 0

Exercises Ex You need to make a spring scale for measuring mass. You want each 1.0 cm length along the scale to correspond to a mass difference of 100 g. What should be the value of the spring constant? Compare the compressed length of these two situations: A 10 kg runaway grocery cart runs into a spring with spring constant 250 N/m and compresses it by 60 cm. What was the speed of the cart just before it hit the spring? 12 Wall

Homework Student Workbook

Summary II 14 C B as if

Elastic Collisions ( 請預讀 P284~P288) 15 12

Elastic Collisions For 1D elastic collision: Conditions: m 1 v 1xi +m 2 v 2xi =m 1 v 1xf +m 2 v 2xf ½m 1 v 2 1xi + ½m 2 v 2 2xi = ½m 1 v 2 1xf + ½m 2 v 2 2xf Solve: 16 ( 請自己推一次，我就不在課堂推了 ) ( 請自己推一次，我就不在課堂推了 )

Homework Student Workbook

Energy diagrams ( 請預讀 P288~P291) 18

Action: Energy Diagram Purpose: Get the quantities from an energy diagram Turning points: (?=0) Stable equilibrium (?=0, ??>0) Unstable equilibrium (?=0, ??<0) The speeds. Actions: When TE=1 J, … When TE=2 J, … When TE=2.5 J, … Plot its Kinetic energy versus x graph when TE=2.5 J. 19 (PE) E (J) x (m)

Homework Student Workbook P10-7~P10-8 Textbook 一樣，請將 terms and notation 製作成名詞卡片。 20