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 × 10³ N/m (Answer)