If it requires 7.0 J of work to stretch a particular spring by 2.3 cm from its equilibrium length, how much more work will be required to stretch it an additional 3.9 cm?

Question

If it requires 7.0  J of work to stretch a particular spring by 2.3  cm from its equilibrium length, how much more work will be required to stretch it an additional 3.9 cm?

anonymous · Answer

Recall that work is defined as$$W = \int\limits F dx$$and that the force of a spring is$$F_s = kx$$Substituting $$W = \int\limits kx dx$$Integrating$$W = {1 \over 2} k x^2$$

Therefore, with the given data, we can determine the spring constant. Once we know the spring constant, we can determine the additional work required to stretch the spring the additional 3.9 cm. 

Watch your units. x here should be in meters.

anonymous · Answer

the k is very high

anonymous · Answer

k=26465 your ans is around 40. something

anonymous · Answer

thanks eashmore that helped a lot and yes mythias that is what I got and it turned out to be correct

anonymous · Answer

ok perfect :)