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Design an investigation to find a mathematical model for the relationship between the amount of kinetic energy in the puck-Earth system and the velocity of the puck.

User Allen Han
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To investigate the relationship between the kinetic energy of a puck-Earth system and the velocity of the puck, conduct controlled experiments varying the puck's initial velocity.

Measure the kinetic energy using appropriate instruments and record corresponding velocities. Use a motion sensor for accurate velocity data. Plot the results on a graph, with kinetic energy on the y-axis and velocity on the x-axis.

Analyze the trend to identify a potential mathematical model. Consider the kinetic energy formula (KE = 0.5 * m * v²) and use regression analysis to refine the model. Repeat experiments to ensure consistency. Discuss limitations, sources of error, and potential improvements for future investigations. The resulting model will offer valuable insights into the physics of kinetic energy in the context of the puck-Earth system.

User Chandel
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