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A block of mass $m = 1 \text{ kg}$ is pushed against a spring with spring constant $k = 100 \text{ N/m}$, compressing it by $x = 0.2 \text{ m}$. When released, the block slides on a rough horizontal surface with coefficient of kinetic friction $\mu = 0.2$. How far will the block travel before coming to rest?
- A.$0.5 \text{ m}$
- B.$1.0 \text{ m}$
- C.$2.0 \text{ m}$
- D.$0.25 \text{ m}$
Show correct answer & step-by-step solution
Correct answer: B — $1.0 \text{ m}$
Solution
Initial energy . Work done by friction . Equating $2 = 2d$ gives .
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