Question

a force of 6 n will stretch a rubber band 12 cm (0.12 m). assuming that hooke’s law applies, how far will a 1-n force stretch the rubber band? how much work does it take to stretch the rubber band this far? how far will a 1-n force stretch the rubber band? \boxed{} m (simplify your answer.)

Explanation:

Step1: Find spring constant $k$

Hooke's Law: $F = kx$. Solve for $k$:
$k = \frac{F}{x} = \frac{6}{0.12} = 50 \, \text{N/m}$

Step2: Find stretch for 1-N force

Use $F = kx$, solve for $x$:
$x = \frac{F}{k} = \frac{1}{50} = 0.02$

Answer:

0.02