**Numerical Problem 2:** A spring requires a force of 100.0 N to compress it to a displacement of 4 cm. What is spring constant?

**Answer**

**Given Data**

- Force required to compress the spring, F = 100.0 N
- Displacement, x = 4 cm = 0.04 m

**Required Data**

– Spring Constant, k

**Formula**

*F = kx*

Put values in the formula,

100.0 = k × 0.04 ⇒ k = 100.0/0.04 = **2500 N/m = 2.5 × 10**^{3} N/m (Answer)