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A piece of elastic was stretched by 24% to a length of a 31 cm. find its an is stressed original length?
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A piece of elastic was stretched by 24% to a length of a 31 cm. find i...
Understanding the Problem
To find the original length of the elastic before it was stretched, we need to analyze the information given:
- The elastic was stretched by 24%.
- The final length after stretching is 31 cm.
Calculating the Original Length
1. Setting Up the Equation
If we denote the original length as L (in cm), then stretching it by 24% means that the new length can be expressed as:
New Length = Original Length + (24% of Original Length)
This can be formulated as:
31 cm = L + 0.24L
2. Combining Like Terms
This simplifies to:
31 cm = 1.24L
3. Solving for L
To find L, we divide both sides by 1.24:
Original Length (L) = 31 cm / 1.24
When calculated:
Original Length (L) = 25 cm
Conclusion
- The original length of the elastic before it was stretched is 25 cm.
Key Takeaways
- Stretching an elastic by a percentage affects its overall length.
- By setting up a simple equation based on the percentage stretch, we can easily calculate the original length.
- Understanding these basic principles can help in various applications, including physics and material science.
To find the original length of the elastic before it was stretched, we need to analyze the information given:
- The elastic was stretched by 24%.
- The final length after stretching is 31 cm.
Calculating the Original Length
1. Setting Up the Equation
If we denote the original length as L (in cm), then stretching it by 24% means that the new length can be expressed as:
New Length = Original Length + (24% of Original Length)
This can be formulated as:
31 cm = L + 0.24L
2. Combining Like Terms
This simplifies to:
31 cm = 1.24L
3. Solving for L
To find L, we divide both sides by 1.24:
Original Length (L) = 31 cm / 1.24
When calculated:
Original Length (L) = 25 cm
Conclusion
- The original length of the elastic before it was stretched is 25 cm.
Key Takeaways
- Stretching an elastic by a percentage affects its overall length.
- By setting up a simple equation based on the percentage stretch, we can easily calculate the original length.
- Understanding these basic principles can help in various applications, including physics and material science.
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A piece of elastic was stretched by 24% to a length of a 31 cm. find its an is stressed original length?
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A piece of elastic was stretched by 24% to a length of a 31 cm. find its an is stressed original length? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A piece of elastic was stretched by 24% to a length of a 31 cm. find its an is stressed original length? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A piece of elastic was stretched by 24% to a length of a 31 cm. find its an is stressed original length?.
A piece of elastic was stretched by 24% to a length of a 31 cm. find its an is stressed original length? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A piece of elastic was stretched by 24% to a length of a 31 cm. find its an is stressed original length? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A piece of elastic was stretched by 24% to a length of a 31 cm. find its an is stressed original length?.
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