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Based on your understanding of Work-Energy Theorem, do you expect the results of the last two columns to be the same or significantly different? Calculate the percentage difference for each trial using the formula below. If a graph of W versus ΔKE was plotted, what would you expect the slope to be if there were no errors in the experiment?

Based on your understanding of Work-Energy Theorem, do you expect the results of the last two columns to be the same or significantly different? Calculate the percentage difference for each trial using the formula below. If a graph of W versus ΔKE was plotted, what would you expect the slope to be if there were no errors in the experiment?

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  • Based on your understanding of Work-Energy Theorem, do you expect the results of the last two columns to be the same or significantly different?
  • Calculate the percentage difference for each trial using the formula below.
  • If a graph of W versus ΔKE was plotted, what would you expect the slope to be if there were no errors in the experiment?
This table presents data related to the physics of motion, specifically focusing on variables affecting work and kinetic energy. Here's a breakdown of the columns and their respective labels: - **M (kg):** Represents the mass of an object in kilograms. - **m (kg):** A secondary mass value, potentially another component of the system. - **a (m/s²):** Denotes acceleration in meters per second squared. - **X₀ (m):** Initial position in meters. - **Xf (m):** Final position in meters. - **V₀ (m/s):** Initial velocity in meters per second. - **Vf (m/s):** Final velocity in meters per second. - **W = Ma(Xf − X₀) (J):** Work done, calculated as the product of mass, acceleration, and the displacement (Xf - X₀), expressed in joules. - **ΔKE = 0.5M(Vf² − V₀²) (J):** Change in kinetic energy, determined by the difference in the square of final and initial velocities, multiplied by half the mass. This value is in joules. The table is formatted with the same data points for each row, showcasing various scenarios by altering the mass (M) and observing changes in acceleration, position, velocity, work, and kinetic energy. This setup allows for analysis of how these factors interact in physics.
Transcribed Image Text:This table presents data related to the physics of motion, specifically focusing on variables affecting work and kinetic energy. Here's a breakdown of the columns and their respective labels: - **M (kg):** Represents the mass of an object in kilograms. - **m (kg):** A secondary mass value, potentially another component of the system. - **a (m/s²):** Denotes acceleration in meters per second squared. - **X₀ (m):** Initial position in meters. - **Xf (m):** Final position in meters. - **V₀ (m/s):** Initial velocity in meters per second. - **Vf (m/s):** Final velocity in meters per second. - **W = Ma(Xf − X₀) (J):** Work done, calculated as the product of mass, acceleration, and the displacement (Xf - X₀), expressed in joules. - **ΔKE = 0.5M(Vf² − V₀²) (J):** Change in kinetic energy, determined by the difference in the square of final and initial velocities, multiplied by half the mass. This value is in joules. The table is formatted with the same data points for each row, showcasing various scenarios by altering the mass (M) and observing changes in acceleration, position, velocity, work, and kinetic energy. This setup allows for analysis of how these factors interact in physics.
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