Suppose a force of 20 N is required to stretch and hold a spring 0.4 m from its equilibrium position (0). I found k constant to be 50 and part b required using integration on 0 to -0.3 for spring compression on the and I found the work to be 2.25 J. Here's part c and d...

c) does it take twice as much work to compress the spring 0.6 meters from equilibrium as it does to compress 0.3 meters from equilibrium?

d)Does it take twice as much force to compress the spring 0.6 meters from equilibrium as it does to compress 0.3 meters from equilibrium?

Question

Suppose a force of 20 N is required to stretch and hold a spring 0.4 m from its equilibrium position (0). I found k constant to be 50 and part b required using integration on 0 to -0.3 for spring compression on the and I found the work to be 2.25 J. Here's part c and d...

c) does it take twice as much work to compress the spring 0.6 meters from equilibrium as it does to compress 0.3 meters from equilibrium?

d)Does it take twice as much force to compress the spring 0.6 meters from equilibrium as it does to compress 0.3 meters from equilibrium?

anonymous · Answer

I think part c is 4 times as much because inegration for 0 to -0.6 is 9 J using 50x and 9 / 2.25 is 4. not sure of part d