W ∝ L2 and W = 6 when L = 4. If L = √17 find W
Question 1 Report
W ∝ L2 and W = 6 when L = 4. If L = √17 find W
Answer Details
From the given relation, we have W ∝ L^2. This means that W is directly proportional to L^2. We can write this as W = kL^2, where k is the constant of proportionality.
To find the value of k, we can use the given values of W and L. We have W = 6 when L = 4. Substituting these values in the equation above, we get:
6 = k(4^2)
6 = 16k
k = 6/16
k = 3/8
Now, we can use this value of k to find W when L = √17. Substituting these values in the equation W = kL^2, we get:
W = (3/8)(√17)^2
W = (3/8)(17)
W = 51/8
W = 6 3/8
Therefore, the answer is 6 3/8.
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