Use Hooke's Law for springs, which states that the distance a spring is stretched (or compressed) varies directly as the force on the spring.

A force of 265 newtons stretches a spring 0.15 meter (see figure).
(a) How far will a force of 120 newtons stretch the spring? (Round your answer to two decimal places.)

:m

(b) What force is required to stretch the spring 0.3 meter? (Round your answer to two decimal places.)

:N

1 answer

Since F=kx, F/x is constant. So,

(a) 120/x = 265/0.15

(b) F/0.3 = 265/0.15

Note that you can answer these questions without even determining the value of k explicitly.