Question Detail
Question
A 10 kg box moving at 5 m/s runs into a spring with k = 100 N/cm. What is the maximum compression?
Correct Answer
Option A is the correct answer.
Detailed Explanation
First convert k to N/m: 100 N/cm = 10000 N/m. Using energy conservation: ½mv² = ½kx², so x = v√(m/k) = 5 × √(10/10000) = 5 × 0.0316 = 0.158 m ≈ 0.16 m.
Hint
Set initial kinetic energy equal to final spring potential energy.