Question

Hooke’s Law states that the length a spring stretches is directly proportional to the weight on the spring. If a weight of 2 kg stretches a spring 9 cm, determine how far a weight of 5 kg will stretch the spring.

3.6 cm

22.5 cm

1.11 cm

Answer 1

Hooke's Law gives extension x proportional to mass m: x = k m. From 2 kg → 9 cm, k = 9/2 = 4.5 cm/kg. For 5 kg: x = 4.5·5 = 22.5 cm.

Answer: 22.5 cm.