Answered

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F is inversely proportional to d^2.
When F = 15, d = 4
Work out d (positive value rounded to 2 DP) when F = 6

Sagot :

Answer:

d ≈ 6.32

Step-by-step explanation:

Given F is inversely proportional to d² then the equation relating them is

F = [tex]\frac{k}{d^2}[/tex] ← k is the constant of proportion

To find k use the condition when F = 15, d = 4 , then

15 = [tex]\frac{k}{4^2}[/tex] = [tex]\frac{k}{16}[/tex] ( multiply both sides by 16 )

240 = k

F = [tex]\frac{240}{d^2}[/tex] ← equation of proportion

When F = 6 , then

6 = [tex]\frac{240}{d^2}[/tex] ( multiply both sides by d² )

6d² = 240 ( divide both sides by 6 )

d² = 40 ( take positive square root of both sides )

d = [tex]\sqrt{40}[/tex] ≈ 6.32 ( to 2 dec. places )

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