Step-by-step explanation:
P varies to d²
F=K/d²
where K is the constant
6=k/6²
6=k/36
K= 216
we write the equation
F=k/d²
we substitute
F=216/3²
F=216/9
F= 24
Answer:
F = 24
Step-by-step explanation:
Given that 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 F = 6 when d = 6 , then
6 = [tex]\frac{k}{6^2}[/tex] = [tex]\frac{k}{36}[/tex] ( multiply both sides by 36 )
216 = k
F = [tex]\frac{216}{d^2}[/tex] ← equation of proportion
When d = 3 , then
F = [tex]\frac{216}{3^2}[/tex] = [tex]\frac{216}{9}[/tex] = 24
