How much work, in kJ, can a spring whose spring constant is 4 kN/cm produce after it has been compressed 3 cm from its unloaded length?

Respuesta :

Answer:

work done on compressing spring will be 135 j

Explanation:

We have given spring constant [tex]K=3kN/cm=3\times \frac{1000N}{10^{-2}m}=3\times 10^5N/m[/tex] ( As 1 kN = 1000N and 1 m = 100 cm )

Spring is compressed by 3 cm

As 1 m = 100 cm

So [tex]3cm=3\times 10^{-2}m[/tex]

Work done on compressing spring is given by [tex]W=\frac{1}{2}kx^2[/tex]

So [tex]W=\frac{1}{2}\times 3\times 10^{5}\times (3\times 10^{-2})^2=13.5\times 10=135J[/tex]

So work done on compressing spring will be 135 j