How to you get to 1.378? Which is the answer> what calculations do you make?

Question

Your niece is working on a unique science fair project - a clock built around a small mass vibrating on a little spring. Her prototype version is working ok, but it's running too slow. Given your experience in this course, you suggest to her that a stiffer spring should oscillate faster, so she goes out and finds a new one with stiffness constant ("K") that is a factor 1.9 times larger than the prototype spring. How many times larger is the frequency of the new version than the old one? (If you think the new frequency is 2 times the old one, enter 2.0)

Answer 1

frequency=.150 sqrt(k/m)

so if you double K 1.9, f goes up sqrt 1.9