the spring constant, k for a 12 cm length attached to the ceiling with 2.5 kg mass is 612.5.
what is spring constant ?
The stiffness of the spring is how we determine spring constant. In other words, we can define the spring constant as the force used to produce the specified displacement when the spring's displacement is one unit. It follows that a spring's spring constant will increase with increasing spring stiffness.
from the given information -
length of spring before attaching mass = 12 cm
length after attaching mass = 16 cm
mass attached = 2,5 kg
Force = k.x
k= Force/x = 2.5 x 9.8 / 0.04 = 612.5
Thus the spring constant, k for a 12 cm length attached to the ceiling with 2.5 kg mass is 612.5.
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