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Energy Diagram

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Energy Diagram


1. **Problem Statement:** Identify the diagram and analyze the energy conversions and magnitudes at points A, B, C, and D on a semicircular arc with given points. 2. **Diagram Identification:** The diagram is a semicircular path representing the motion of an object along a curved track. 3. **Energy Conversion from A to D:** The object converts potential energy at point A (bottom-left) to kinetic energy as it moves up to point B (top of the arc), then back to potential energy at point C and finally to kinetic energy at point D (ground level). 4. **Greatest Energy at Point B:** At point B, the object has the greatest potential energy because it is at the highest point on the arc. 5. **Potential Energy Equal to Zero:** Potential energy is zero at point D, which is on the ground level. 6. **Type of Energy at Point D:** At point D, the object has kinetic energy as it is at the lowest point and moving. 7. **Calculating Energy at Point D:** Given: - Mass $m = 1.5$ kg - Height $h = 10$ m - Gravitational acceleration $g = 10$ m/s$^2$ Potential energy at height $h$ is given by: $$PE = mgh$$ Substitute values: $$PE = 1.5 \times 10 \times 10 = 150$$ Therefore, the magnitude of the energy possessed by the object at point D is $150$ joules. **Summary:** - Diagram: Semicircular arc - Energy conversion: Potential to kinetic and vice versa - Greatest energy at B: Potential energy - Zero potential energy at D - Energy type at D: Kinetic energy - Energy magnitude at D: $150$ J