Answer:
143975.31 N/m
Explanation:
Hook's law: Hook's law states that the force applied to an elastic material is directly proportional to its extension, provided that the elastic limit is not exceeded.
From Hook's law,
F = ke................... Equation 1
Where F = applied force, k = spring constant, e = extension/depression.
Make k the subject of the equation,
k = F/e ................. Equation 2
From the question,
The weight acting on the bathroom scale is the same as the applied force.
F = mg................ Equation 3
Substitute equation 3 into equation 2
k = mg/e ............. Equation 4
Given: m = 119 kg, e = 0.81 cm = 0.0081 m.
Constant: g = 9.8 m/s²
Substitute into equation 4
k = 119(9.8)/(0.0081)
k = 143975.31 N/m.
Hence the effective spring constant = 143975.31 N/m
