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Work, force, motion, and power
12/ /16 Using mathematical formulas Solving word problems
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Learning Objectives: Students will be able to 1
Learning Objectives: Students will be able to 1. recognize units of measure and correctly apply them to mathematical problems 2. apply mathematical equations to describe the relationships between force, work, and power
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Force, Work, Power A force is a push or a pull
Work is a force acting over a certain distance Power how quickly work is done
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PROBLEM 1 (sample) How much work is done by a person who uses a force of 30 Newtons to move a grocery cart 3 meters? Given (know): Need to know: Formula: Substitute: Compute: Final Answer:
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Know (Given): Force = 30 Newtons Distance = 3 meters
Sample PROBLEM How much work is done by a person who uses a force of 30 Newtons to move a grocery cart 3 meters? Know (Given): Force = 30 Newtons Distance = 3 meters
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Need to know: Work = ? Joules
Sample PROBLEM How much work is done by a person who uses a force of 30 Newtons to move a grocery cart 3 meters? Need to know: Work = ? Joules
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Sample PROBLEM How much work is done by a person who uses a force of 30 Newtons to move a grocery cart 3 meters? Formula Needed: Work = Force x Distance
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_____ Joules = 30 Newtons x 3 meters
Sample PROBLEM How much work is done by a person who uses a force of 30 Newtons to move a grocery cart 3 meters? Substitute: _____ Joules = 30 Newtons x 3 meters
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Sample PROBLEM How much work is done by a person who uses a force of 30 Newtons to move a grocery cart 3 meters? Compute: 30 x 3 = 90
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Final Answer: Work = 90 Joules
Sample PROBLEM How much work is done by a person who uses a force of 30 Newtons to move a grocery cart 3 meters? Final Answer: Work = 90 Joules
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Problem Solving Process
Given: Force = 30 Newtons Distance = 3 meters Need to Know: Work = ? Joules Formula: Work = Force x Distance Substitute ?J = 30N x 3m Compute 30 x 3 = 90 Final Answer: Work = 90 Joules
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Problem 2a: How much work is done by a person who uses a force of 40N to move a grocery cart 4 meters? Need to know: Formula: Substitute: Compute: Final Answer:
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problem 2b. How much work is done if the person pushes with the same force (40N), but the grocery cart moves 0 meters? Know: Need to know: Formula: Substitute: Compute: Final Answer:
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Problem 3 5000 J of work is done to lift a rock 50 meters. How much force is applied? Know: Need to know: Formula: Substitute: Compute: Final Answer: By lifting this rock you are increasing its _________________ energy.
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Problem 4 A teacher does 200 joules of work in 10 seconds. How much power did he use? Know: Need to know: Formula: Substitute: Compute: Final Answer: He could have increased power by increasing the amount of ________________ or decreasing the amount of ______________.
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Problem 5 (Page 78, Question 3)
How much power, in watts, is needed to cut a lawn in 50 minutes if the work involved is 100,000 Joules? (* Must convert _____________ to ______________) Know: Need to know: Formula: Substitute: Compute: Final Answer:
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Problem Solving Process
Given: Time = 50 minutes Work = 100,000 Joules Need to Know: Power = ? Watts Formula: Power = Work/Time Substitute: 100,000 J / 50 minutes = ? Watts Compute: 50 minutes x 60 seconds/1 minute = 3000 seconds 100,000/3,000 = 34 Final Answer: Power = 34 Watts
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More Practice: Page 78 # 1-7 Page 96 #11,12,13 Page 98 # 1,7,9
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