An elastic material of length 3m is to be stretched to reduce an extension three times its original length. Calculate the force required to produce the exte...
Question 1 Report
An elastic material of length 3m is to be stretched to reduce an extension three times its original length. Calculate the force required to produce the extension
Answer Details
Principle (Hooke's law). Within the elastic limit the applied force is directly proportional to the extension produced:
\[ F = K e \]where \(K\) is the force constant of the elastic material and \(e\) is the extension.
Given data
- Original length, \(L = 3\text{ m}\)
- Force constant, \(K = 988.3\text{ N/m}\)
- Extension is three times the original length: \(e = 3 \times L = 3 \times 3 = 9\text{ m}\)
Calculation
\[ F = K e = 988.3 \times 9 \]\[ F = 8894.7\text{ N} \]The force required to produce the extension is \(8894.7\text{ N}\).
Download The App On Google Playstore
Everything you need to excel in your exams
Personalized AI Learning Chat Assistant
200,000+ Exam Questions Across IGCSE, JAMB, WAEC & NECO
Over 3,900 Lesson Notes
Offline Support - Learn Anytime, Anywhere
Green Bridge Timetable
Literature Summaries & Potential Questions
Track Your Performance & Progress
In-depth Explanations for Comprehensive Learning