It requires 1000 J of work to stretch a spring 3.00 cm. Which of the following is the change in potential energy and the spring constant of the spring?

 

Answer:

k = 2.22? ×10^6? N/m

change in potential energy = 1000 J

Step-by-step explanation

given that :

length stretched = x = 3 cm = 0.03 m

let spring constant be k

work required = 1000 J

also

work required = ?1/2 ?kx2? = ?1/2?k(0.03)^2?

equating both we have

1000 = ?1?/2k(0.03)^2?

2000 = ?k(0.03)^2?

k = 2.22? ×106^? N/m

change in potential energy  = work done in stretching = 1000 J