Question

F is inversely proportional to d^2. When F=18, d=2 Work out F when d=6
F=

Answer 1

Answer:

F = 2, when d = 6

Step-by-step explanation:

We have,

F ∝ (1/d²)

Now,

To remove the Proportionality, we add in a constant 'k'.

So,

F = k(1/d²)

F × d² = k

Fd² = k

Now,

we are given,

When F = 18, d = 2

Substituting our values,

(18)(2)² = k

18 × 4 = k

k = 72

Thus,

We found the value of our Constant, now it's easy,

Now,

We must find F, when d = 6

Substituting the values,

Fd² = k

F(6)² = 72

F × 36 = 72

F = 72/36

∴ F = 2

Hence,

F = 2, when d = 6

Hope it helped and believing you understood it........All the best

Answer 2

Answer:

2

Step-by-step explanation: