Math Problem Statement
Solution
Let's solve the problems shown in the image one by one using the formula for work, which is:
Problem 3.016:
- Max and Keisha each applied 100 newtons of force to move a dresser 3 meters.
- Total force =
- Distance = 3 meters
Problem 3.017:
- A crane lifts a large metal beam 5 meters with a force of 5000 newtons.
- Force = 5000 newtons
- Distance = 5 meters
Problem 3.018:
- Janet uses 40 newtons of force to pull a wagon 4.5 meters.
- Force = 40 newtons
- Distance = 4.5 meters
Would you like a more detailed explanation of any of these calculations?
Here are 5 related questions to consider:
- How would the work change if Max and Keisha applied different forces?
- What is the significance of the direction of force in calculating work?
- What happens if Janet pulls the wagon over a longer distance but with the same force?
- How does the angle between the force and distance affect the calculation of work?
- Can work be negative? In what scenario would that occur?
Tip: Always ensure the force and distance are in the same direction when calculating work; otherwise, you may need to consider components of the force.
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Math Problem Analysis
Mathematical Concepts
Work
Force
Displacement
Physics
Formulas
Work = Force × Distance
Theorems
Work-Energy Principle
Suitable Grade Level
Grades 6-8
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