Question

F is inversely proportional to d^2. When F=9, d=4 Work out d (positive value rounded to 2 DP) when F=6

Answer 1

Answer:

d = 4.90

Step-by-step explanation:

Given the following data;

F = 9

d = 4

For an inversely proportional relationship, we have;

F = k/d²

Now, we would find the constant, k;

9 = k/4²

k = 9*16

k = 144

Next, to find d, when F = 6

d² = k/F

d² = 144/6

d² = 24

Taking the square root of both sides, we have;

d = 4.90