A physics professor uses an air-track cart of mass m to compress a spring of constant k by an amount x from its equilibrium length. The air-

Question

A physics professor uses an air-track cart of mass m to compress a spring of constant k by an amount x from its equilibrium length. The air-track has negligible friction. When she lets go, the spring launches the cart. What cart velocity should she expect after it is launched by the spring

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Khải Quang 3 years 2021-08-14T09:06:38+00:00 1 Answers 6 views 0

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  1. thienan
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    2021-08-14T09:08:06+00:00
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    Answer:

            v = √k/m    x

    Explanation:

    We can solve this exercise using the energy conservation relationships

    starting point. Fully compressed spring

            Em₀ = K_{e} = ½ k x²

    final point. Cart after leaving the spring

            Em_{f} = K = ½ m v²

            Em₀ = Em_{f}

            ½ k x² = ½ m v²

            v = √k/m    x

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