Inthisexperiment, moving object travelingin a circularpath. The size of a spring force should be proportional to the amount of stretch in the spring. Doesthisclaimagree qualitatively with the data in your five trials? Why or why not?

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.

pythagoras' theorem

square root (-5^2+9^2)

square root (25+81)

square root (106)

angle is tan^-1(9/5)

neg x, pos y

where is the