Mechanics: Work, Energy and Power
Work, Energy and Power: Audio Guided Solution
Problem 15:
Olive Udadi is at the park with her father. The 26-kg Olive is on a swing following the path as shown. Olive has a speed of 0 m/s at position A and is a height of 3.0-m above the ground. At position B, Olive is 1.2 m above the ground. At position C (2.2 m above the ground), Olive projects from the seat and travels as a projectile along the path shown. At point F, Olive is a mere picometer above the ground. Assume negligible air resistance throughout the motion. Use this information to fill in the table.
| Position | Height (m) | PE (J) | KE (J) | TME (J) | Speed (m/s) |
| A | 3.0 | 0.0 | |||
| B | 1.2 | ||||
| C | 2.2 | ||||
| F | 0 |
Audio Guided Solution
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| Position | Height (m) | PE (J) | KE (J) | TME (J) | Speed (m/s) |
| A | 3.0 | 760 | 0 | 760 | 0.0 |
| B | 1.2 | 310 | 460 | 760 | 5.9 |
| C | 2.2 | 560 | 200 | 760 | 4.0 |
| F | 0 | 0 | 760 | 760 | 7.7 |
Habits of an Effective Problem Solver
- Read the problem carefully and develop a mental picture of the physical situation. If necessary, sketch a simple diagram of the physical situation to help you visualize it.
- Identify the known and unknown quantities in an organized manner. Equate given values to the symbols used to represent the corresponding quantity - e.g., vo = 0 m/s; a = 4.2 m/s/s; vf = 22.9 m/s; d = ???.
- Use physics formulas and conceptual reasoning to plot a strategy for solving for the unknown quantity.
- Identify the appropriate formula(s) to use.
- Perform substitutions and algebraic manipulations in order to solve for the unknown quantity.
Read About It!
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