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The glider on a horizontal air track is attached to a spring that causes it to oscillate back and forth. The total energy of

 

The glider on a horizontal air track is attached to a spring that causes it to oscillate back and forth. The total energy of the system is E = mu? + kz?, where m is the glider's mass, v is its velocity, k the spring constant and a is the extension of the spring from equilibrium. A student makes the following measurement at a given moment : m = 0.230 + 0.001kg, v = 0.89 +0.01m/s, k = 1.03 +0.01N/m, I = 0.551 +0.005m, Find the answers for the following questions: (a) What is the total energy E in standard format? (b) She next measured the position rmax of the glider at the extreme end of its oscillation, where v = 0, Tmax = 0.698 +0.002 m. What is the total energy at the end point? Express in standard format. (c) Are the result she obtained from (a) and (b) consistent with the conservation of energy, which requires these two energy value should be the same?

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