Investigating Different Combinations of Springs
IDEAS:
SERIES IDEA
I think that when I connect springs in series that the extension will
increase/double in size because if you use double the amount of
springs then you'd double the natural length. If you add a weight, the
weight will pull the first spring and the first spring would pull the
second.
PARALLEL IDEA
I think that when I connect springs in parallel the extension will
decrease/halve in size because if you add a 100g weight between two
springs the weight would be evenly distributed between the two, so
each have 50g each, so therefore only stretch half the distance than
before.
SCIENTIFIC THEORY AND UNDERSTANDING
HOOKE'S LAW
Hooke's law states that the extension of a spring is proportional to
the load applied provided the elastic limit is not exceeded.
F=K*X
F= load (N)
K= spring constant (N/M)
X= extension (m)
HOW DO MATERIALS STRETCH?
STRETCHING A SPRING
The extension is the increase in length of the spring when it is
pulled by the stretching force.
· The extension value is found by taking away the natural length of
the spring from the result.
· Between O and E the graph is a straight line, which shows that, the
extension increase is proportionate to the stretching force up to T
(the elastic limit). This is known as Hooke's law.
NUMERICAL TREATMENT OF SPRINGS IN SINGLE (1) AND SERIES (2)
BEFORE LOAD IS ADDED
TYPICAL EXTENSIONS FOR SINGLE (1) AND SERIES (2) SPRINGS
Applying Hooke's Law
F=K*X F=K*X
F=K single X F=KseriesX
1=K single 1 F=Kseries*2
K SINGLE =1n/cm Kseries=1/2=0.5n/cm
(1) (2)
NATURAL LENGTH OF PARALLEL SPRINGS
AFTER LOAD APPLIED
F=K*X
F=Kparallel*X
1=Kparallel*0.5
Kparallel=2n/cm
The spring system, which will stretch the most, is the series system,
K supports this because it only takes 0.5n to stretch 1cm.
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