ConservationofE

ConservationofE - Objectives Identify situations in which...

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Copyright © by Holt, Rinehart and Winston. All rights reserved. Objectives Identify situations in which conservation of mechanical energy is valid. Recognize the forms that conserved energy can take. Solve problems using conservation of mechanical energy.
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Copyright © by Holt, Rinehart and Winston. All rights reserved. Concept Check – Conservation of Energy Three balls of equal mass start from rest and roll down different ramps. All ramps have the same height. Which ball has the greater speed at the bottom of its ramp? 1 4) same speed for all balls 2 3
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Copyright © by Holt, Rinehart and Winston. All rights reserved. Concept Check – Conservation of Energy Three balls of equal mass start from rest and roll down different ramps. All ramps have the same height. Which ball has the greater speed at the bottom of its ramp? All of the balls have the same initial gravitational PE same initial gravitational PE , since they are all at the same height same height (PE = mgh ). Thus, when they get to the bottom, they all have the same final KE same final KE , and hence the same same speed speed (KE = 1/2 mv 2 ). 1 4) same speed for all balls 2 3
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Copyright © by Holt, Rinehart and Winston. All rights reserved. Concept Check – Conservation of Energy Paul and Kathleen start from rest at the same time on frictionless water slides with different shapes. At the bottom, whose velocity is greater? 1. Paul 2. Kathleen 3. both the same
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Copyright © by Holt, Rinehart and Winston. All rights reserved. Concept Check – Conservation of Energy Paul and Kathleen start from rest at the same time on frictionless water slides with different shapes. At the bottom, whose velocity is greater? 1. Paul 2. Kathleen 3. both the same Conservation of Energy: E i = mgh = mgh = E = E f = 1/2 = 1/2 mv mv 2 therefore: gh gh = 1/2 = 1/2 v 2
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Copyright © by Holt, Rinehart and Winston. All rights reserved. Concept Check – Conservation of Energy
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ConservationofE - Objectives Identify situations in which...

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