Question

How much work, in kJ, can a spring whose spring constant is 6 kN/cm produce after it has been compressed 3 cm from its unloaded length?

Answer 1

Answer:

  W= 27 KJ  

Explanation:

Given that

Spring constant ,K= 6 KN/cm

K= 6 x  10⁷ N/m

Displacement ,x= 3 cm = 0.03 m

The work done is given as

$W=\dfrac{1}{2}Kx^2$

K=Spring constant

x=Displacement

Now by putting the values in the above equation

$W=\dfrac{1}{2}\times 6\times 10^7\times (0.03)^2$

W=27000 J

The work done in KJ is given as

W= 27 KJ                   ( 1 K = 1000 )

Therefore the answer will be 27 KJ.