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