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9TH CLASSES PHYSICS DAILY PLAN SUBJECT: Conservation of mechanical energy AIM: To understand the law of conservation of energy DURATION: 80 min REAL LIFE: railway in an amusing park PRESENTATION: When an object falls under only the influence of gravity: (no friction): h is decreasing, v is increasing v 1 OR h PE is decreasing, KE is increasing 1 2 Suppose the object falls from A to B. A g v0=0 v=? Ex: Find the velocity of the object in the position 520 cm shown in figure. (No friction) 200 cm {*first way: take zero level at the bottom; second way: Take zero level at the final position of the ball*} Ex: An object is thrown upwards with initial velocity v0. What maximum height will it reach. Find a formula by using conservation of mechanical energy. v 0 v h2 DATE: 4. If no external work the total enrgy in the first photo=total enrgy in the second photo: PEi + KEi = PEf + KEf Since the object is falling down, potential energy decreases by (mgy). y h Since gravitational force does work kinetic energy increases by (mgy). Ex: What maximum displacement will the object experience over the inclined plane, once it is delivered an initial push, giving it 8 m/s velocity? v = 8 m/s L=? 37° v0=0 Ex: v2=? 1 B v3=? Therefore: h1=5m Increase in KE = Decrease in PE h 2 KE= - PE KE + PE = 0 (KEf – KEi) + (PEf – PEi) = 0 h2=3.2m Find v2 and v3 if the object starts from rest. (No friction anywhere) Solution: v0=0 PEi + KEi = PEf + KEf. If external work on an object is zero, total mechanical energy of the object is conserved (=does not change): h=1.8m v2=? v3=? 0 h1=5m MEi=MEf . h2=3.2m Ex: PE = 100J KE = 0 ME = 100 J PE = 75J KE = 25J ME = 100 J PE = 50J KE = 50J ME = 100 J h3=2m h3=2m PEi + KEi = PEf + KEf mgh + 0 = 0 + ½ mv22 v22=2gh; v22=36; v2= 6 m/s v0=0 v2=? h=3m PE = 0 KE = 100J ME = 100 J {*The following 6 examples are to be solved by using PEi + KEi = PEf + KEf method*} Ex: An object of mass m is released from 5 m above the ground. Find its velocity just before it touches the ground. {*Draw the picture*} Problem solving method (1): 1. Choose a zero level for potential energy 2. Take two photographs (draw them) at any two instants you want 3. Is there any energy loss (because of friction) between the photographs? v3=? h1=5m 0 h2=3.2m h3=2m PEi + KEi = PEf + KEf mgh + 0 = 0 + ½ mv32 v32=2gh; v32=60; v3= 7.74 m/s HOMEWORK: wsh.21-22-23 MULTIMEDIA: serway1-serway11 DEMONSTRATION: EXPERIMENT: TEACHER: DIRECTOR: