Hookes law state that provided that the elastic limit is not exceeded, the extension is directly proportional to the force
A Post-and-lintel is a system that uses vertical posts which are separated to
support a horizontal beam.
A Post-and-lintel system is commonly used in architecture and involves the
system where horizontal structures are held by vertical ones with the
presence of spaces between them.
In this scenario, we were told the system uses vertical posts which are
separated to support a horizontal beam which makes Post-and-lintel the
most appropriate choice.
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Answer:
160N/m
Explanation:
According to Hooke's law which states that the extension of an elastic material is directly proportional to the applied force provided that the elastic limit is not exceeded. Mathematically,
F = ke where
F is the applied force
k is the spring constant
e is the extension
From the formula k = F/e
Since the body accelerates when the block is released, F = ma according to Newton's second law of motion.
The spring constant k = ma/e where
m is the mass of the block = 0.4kg
a is the acceleration = 8.0m/s²
e is the extension of the spring = 2.0cm = 0.02m
K = 0.4×8/0.02
K = 3.2/0.02
K = 160N/m
The spring constant of the spring is therefore 160N/m