Math Problem Statement
Solution
Let's solve the exercises provided step-by-step.
Exercises 1-6
The formula given is , where:
- is the force,
- is the distance,
- is the work done.
Let's compute for each exercise.
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,
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,
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,
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,
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,
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,
Exercises 7-9
These questions use formulas from page 19, where likely each formula corresponds to physical relationships involving mass, acceleration, voltage, resistance, etc. Let's assume the following standard formulas commonly used in physics:
- Force (F = m * a) for Exercise 7.
- Power (P = V * I), where , so rearranged for for Exercise 8.
- Current (I = V / R) for Exercise 9.
Solving Each:
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If and , find .
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If and , find .
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If and , find .
Would you like further details on any specific exercise?
Additional Questions for Practice
- If and , what is the work done?
- Given and , find the force .
- If and , calculate the power .
- Suppose and ; find the current .
- If the force doubles but the distance remains constant, how does that affect ?
Tip
When calculating work, remember that it's always the product of force and distance. Units are essential: force in Newtons (N) and distance in meters (m) yield work in Joules (J).
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Math Problem Analysis
Mathematical Concepts
Work and Energy
Force and Motion
Electric Power and Current
Formulas
Work done (W) = f * d
Force (F) = m * a
Power (P) = V^2 / R
Current (I) = V / R
Theorems
-
Suitable Grade Level
Grades 9-10
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