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A spring is pulled down by a weight by 1.24 meters. The spring constant (k) is 330 N/m. What is the mass of the weight?

Sagot :

Given,

The extension of the spring due to the attached mass, x=1.24 m

The spring constant, k=330 N/m

The weight of a mass m is given by,

[tex]F=mg[/tex]

Where g is the acceleration due to gravity,

The magnitude of the restoring force of a spring is given by,

[tex]\begin{gathered} F=kx \\ \Rightarrow mg=kx \end{gathered}[/tex]

Therefore,

[tex]m=\frac{kx}{g}[/tex]

On substituting the known values,

[tex]\begin{gathered} m=\frac{330\times1.24}{9.8} \\ =41.76\text{ kg} \end{gathered}[/tex]

Thus the mass of the weight is 41.76 kg

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