Answer:
By calculation, it can be shown that;
K =
Whereby for constant K, as
increases, x also increases.
Explanation:
The experiment set up consisted of the use of a spring force to maintain the object in circular path.
The energy in the spring is given by
.
Rotational kinetic energy =
·I·ω²
Inertia, I =
·m·r²
ω = 
Substituting gives
Rotational kinetic energy =
·
=
·m· v²
Equating both equations gives
K =
=
Within the proportionality limit, x ∝ r
therefore we can write x = c·r which gives
=
Since
= angular acceleration, α, then
m×
= Angular force
Therefore K = 
Therefore as Force, F increases, x also increases and the size of a spring force should be proportional to the amount of stretch in the spring.