20.9k views
4 votes
F

is inversely proportional to
d
2
.
When
F
=
6
,
d
=
6

Work out
F
when
d
=
3

User Ajl
by
8.0k points

2 Answers

4 votes

Answer:

F = 24

Explanation:

Given that F is inversely proportional to d² then the equation relating them is

F=
(k)/(d^2) ← k is the constant of proportion

To find k use the condition F = 6 when d = 6 , then

6 =
(k)/(6^2) =
(k)/(36) ( multiply both sides by 36 )

216 = k

F =
(216)/(d^2) ← equation of proportion

When d = 3 , then

F =
(216)/(3^2) =
(216)/(9) = 24

User Dawid Ohia
by
7.3k points
3 votes

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

User Vcardillo
by
8.7k points

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