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Conservation of Energy

AP Physics 1· difficulty 3/5

A 1.0 kg1.0~\text{kg} block compresses a spring (k=200 N/mk = 200~\text{N/m}) by 0.20 m0.20~\text{m} and is released. After leaving the spring, the block slides up a frictionless ramp. How high does it rise? (g≈10 m/s2g \approx 10~\text{m/s}^2.)

  • A

    2.0 m2.0~\text{m}

  • B

    0.40 m0.40~\text{m}

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  • C

    0.80 m0.80~\text{m}

  • D

    0.20 m0.20~\text{m}

Explanation

Spring PE = 12(200)(0.04)=4.0 J\tfrac{1}{2}(200)(0.04) = 4.0~\text{J}. mgh=4.0⇒h=4.0/10=0.40 mm g h = 4.0 \Rightarrow h = 4.0/10 = 0.40~\text{m}.

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