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If a spring is stretched 5 cm with a force of 15 kg, how far will it stretch if the force is increased to 24 kg?

A 8 cm

In order to find the extension of the spring, you will need to use Hooke's Law: force equals the extension of the spring times a constant (F = dk). Thus, 15 kg = 5 cm * k => k = 3. If the force is increased, you will have 24 = d \u00D7\u00A03, or d = 8 cm.