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Work Calculations: Hydraulic Lift and Manual Efforts

This document explores the calculations of work done in various scenarios, including using a hydraulic lift to raise a car and employing a hammer to drive a nail. We compute the work done using the formula W = F x D for different forces and distances. The efficiency of tools like a hand mower and hammer is analyzed based on the input and output work done. Our examples illustrate how to determine the effectiveness of machines and manual labor in performing work tasks, shedding light on practical applications of physics concepts.

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Work Calculations: Hydraulic Lift and Manual Efforts

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  1. Page 375, fig. 2

  2. Page 375, fig. 2

  3. Page 374, fig. 1

  4. Page 374, fig. 1

  5. Page 375, fig. 3

  6. Page 376

  7. Page 376

  8. Page 376

  9. A hydraulic lift exerts a force of 12,000 N to lift a car 2 m. How much work is done on the car?

  10. A hydraulic lift exerts a force of 12,000 N to lift a car 2 m. How much work is done on the car? W = F X D

  11. A hydraulic lift exerts a force of 12,000 N to lift a car 2 m. How much work is done on the car? W = F X D = 12,000 N X 2 m

  12. A hydraulic lift exerts a force of 12,000 N to lift a car 2 m. How much work is done on the car? W = F X D = 12,000 N X 2 m = 24,000 Nm

  13. A hydraulic lift exerts a force of 12,000 N to lift a car 2 m. How much work is done on the car? W = F X D = 12,000 N X 2 m = 24,000 Nm = 24,000 J

  14. You exert a force of 0.2 N to lift a pencil off the floor. How much work do you do if you lift it 1.5 m?

  15. You exert a force of 0.2 N to lift a pencil off the floor. How much work do you do if you lift it 1.5 m? W = F X D

  16. You exert a force of 0.2 N to lift a pencil off the floor. How much work do you do if you lift it 1.5 m? W = F X D = 0.2 N X 1.5 m

  17. You exert a force of 0.2 N to lift a pencil off the floor. How much work do you do if you lift it 1.5 m? W = F X D = 0.2 N X 1.5 m = 0.3 Nm

  18. You exert a force of 0.2 N to lift a pencil off the floor. How much work do you do if you lift it 1.5 m? W = F X D = 0.2 N X 1.5 m = 0.3 Nm = 0.3 J

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  27. Page 381, fig. 8

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  29. Page 380, fig. 7

  30. Page 382

  31. You cut the lawn with a hand mower. You do 250,000 J of work to move the mower. If the work done by the mower in cutting the lawn is 200,000 J, what is the efficiency of the mower? E = Wo Wi E = 200,000 J 250,000 J E = 0.8 X 100% = 80%

  32. You do 1,500 J of work using a hammer. The hammer does 825 J of work on a nail. What is the efficiency of the hammer? E = Wo Wi

  33. You do 1,500 J of work using a hammer. The hammer does 825 J of work on a nail. What is the efficiency of the hammer? E = Wo Wi E = 825 J 1,500 J

  34. You do 1,500 J of work using a hammer. The hammer does 825 J of work on a nail. What is the efficiency of the hammer? E = Wo Wi E = 825 J 1,500 J E = 0.55 X 100% = 55%

  35. Suppose you left your lawn mower outdoors all winter. It's now rusty. Of your 250,000 J of work, only 100,000 J go to cutting the lawn. What is the efficiency of the machine now? E = Wo Wi

  36. Suppose you left your lawn mower outdoors all winter. It's now rusty. Of your 250,000 J of work, only 100,000 J go to cutting the lawn. What is the efficiency of the machine now? E = Wo Wi E = 100,000 J 250,000 J

  37. Suppose you left your lawn mower outdoors all winter. It's now rusty. Of your 250,000 J of work, only 100,000 J go to cutting the lawn. What is the efficiency of the machine now? E = Wo Wi E = 100,000 J 250,000 J E = 0.4 X 100% = 40%

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