Answer:
d ≈ 10.80
Step-by-step explanation:
Given F is inversely proportional to d² then the equation relating them is
F = ← k is the constant of variation
To find k use the condition F = 14, d = 5 , then
14 = = ( multiply both sides by 25 )
350 = k
F = ← equation of variation
when F = 3 , then
3 = ( multiply both sides by d² )
3d² = 350 ( divide both sides by 3 )
d² = ( take square root of both sides )
d = ≈ 10.80 ( positive value to 2 dec. places )