Using hooke's law, f subscript s p r i n g end subscript equals k increment x, find the elastic constant of a spring that stretches 2 cm when a 4 newton force is applied to it. a. 1/2 n/cm b. 2 n/cm c. 4 n/cm d. 8 n/cm

Let's rewrite Hook's law:

where
F is the force
k is the spring's constant
x is the compression/elongation of the spring

Neglecting the sign (since we are not interested in the direction of the force), we can re-arrange the formula and use the data of the problem to find the spring constant:


Therefore, the correct answer is B) 2 N/cm.