Bearhoneyidn
Answered

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F is inversely proportional to d^2.
When F = 5, d = 9
Work out d (positive value rounded to 2 DP) when F = 3

Sagot :

Pharukhidn

Answer:

11.6

Step-by-step explanation:

F = k/ d^2

where k = proportionality constant

k = Fd^2

k = 5 * 9^2

k = 5*81 = 405

d = (K/F)^1/2

d = (405/3)^1/2

d = 11.62 =11.6

Ivycoveredwallsidn

Answer:

11.62

Step-by-step explanation:

F is inversely proportional to d^2, so

[tex]F=\frac{k}{d^2}[/tex]

for some constant k.  To find  k  plug in given values for  F  and  d.

[tex]5=\frac{k}{9^2}\\5=\frac{k}{81}\\k=405[/tex]

Now you can find d for F = 3.

[tex]3=\frac{405}{d^2}\\\\3d^2=405\\\\d^2=135\\d=\sqrt{135}\approx 11.62[/tex]

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