Final answer:
The spring constant can be calculated using Hooke's Law, which relates the force exerted by a spring to its displacement. In this case, the spring is compressed by 30 mm with a force of 50 N, resulting in a spring constant of 1666.67 N/m.
Step-by-step explanation:
The force constant of a spring can be calculated using Hooke's Law, which states that the force exerted by a spring is directly proportional to its displacement from its equilibrium position. The formula to calculate the spring constant (k) is:
k = F / x
where F is the applied force and x is the displacement of the spring. In this case, the spring is compressed by 30 mm (or 0.03 m) with a force of 50 N. Substituting the given values into the formula, the spring constant is:
k = 50 N / 0.03 m = 1666.67 N/m