As you walk, your body moves up and down. If you are wearing a backpack, the motion of your body drives the backpack up and down as well, and investigators are exploring the idea of using this motion to generate electricity, using the motion of the backpack relative to a frame fixed to the body to power a generator. The figure below shows data for the motion of the mass of a 29 kg backpack for a person walking at 1.5 m/s. This system can be surprisingly efficient. In one test, the energy output of the generator was an average of 12 W, and, compared to a regular 29 kg backpack, it required only 19 W of additional metabolic power for a person to carry. What is the maximum vertical speed of the mass? At what times in the graph does the mass reach its maximum kinetic energy? What is the maximum kinetic energy of the mass? What is the maximum vertical acceleration of backpack? What maximum force would this provide to the generator system?
As you walk, your body moves up and down. If you are wearing a backpack, the motion of your body drives the backpack up and down as well, and investigators are exploring the idea of using this motion to generate electricity, using the motion of the backpack relative to a frame fixed to the body to power a generator. The figure below shows data for the motion of the mass of a 29 kg backpack for a person walking at 1.5 m/s. This system can be surprisingly efficient. In one test, the energy output of the generator was an average of 12 W, and, compared to a regular 29 kg backpack, it required only 19 W of additional metabolic power for a person to carry. What is the maximum vertical speed of the mass? At what times in the graph does the mass reach its maximum kinetic energy? What is the maximum kinetic energy of the mass? What is the maximum vertical acceleration of backpack? What maximum force would this provide to the generator system?
As you walk, your body moves up and down. If you are wearing a backpack, the motion of your body drives the backpack up and down as well, and investigators are exploring the idea of using this motion to generate electricity, using the motion of the backpack relative to a frame fixed to the body to power a generator. The figure below shows data for the motion of the mass of a 29 kg backpack for a person walking at 1.5 m/s. This system can be surprisingly efficient. In one test, the energy output of the generator was an average of 12 W, and, compared to a regular 29 kg backpack, it required only 19 W of additional metabolic power for a person to carry. What is the maximum vertical speed of the mass? At what times in the graph does the mass reach its maximum kinetic energy? What is the maximum kinetic energy of the mass? What is the maximum vertical acceleration of backpack? What maximum force would this provide to the generator system?
As you walk, your body moves up and down. If you are wearing a backpack, the motion of your body drives the backpack up and down as well, and investigators are exploring the idea of using this motion to generate electricity, using the motion of the backpack relative to a frame fixed to the body to power a generator. The figure below shows data for the motion of the mass of a 29 kg backpack for a person walking at 1.5 m/s. This system can be surprisingly efficient. In one test, the energy output of the generator was an average of 12 W, and, compared to a regular 29 kg backpack, it required only 19 W of additional metabolic power for a person to carry.
What is the maximum vertical speed of the mass?
At what times in the graph does the mass reach its maximum kinetic energy? What is the maximum kinetic energy of the mass?
What is the maximum vertical acceleration of backpack? What maximum force would this provide to the generator system?
What is the efficiency of conversion of metabolic power to electric power for this system? (The efficiency exceeds the assumed 25% efficiency of the muscles in the body, implying that people wearing the backpack modified their gait to provide additional efficiency.)
Transcribed Image Text:The graph presented is a sinusoidal wave illustrating the position of a load over time.
**Axes:**
- **Vertical Axis (Y-axis):** Represents the position of the load in centimeters (cm). The values range from -4 cm to 4 cm.
- **Horizontal Axis (X-axis):** Represents time in seconds (s). The values range from 0 to 1 second.
**Wave Pattern:**
- The wave starts at approximately -3 cm at 0 seconds.
- It rises to a peak position slightly above 2 cm around 0.25 seconds.
- It descends to its lowest position, below -3 cm, around 0.5 seconds.
- The pattern repeats, reaching another peak a little above 2 cm at approximately 0.75 seconds.
- The wave completes the cycle, ending below -2 cm at 1 second.
**Analysis:**
This wave represents a periodic motion where the load oscillates back and forth around an equilibrium position. The symmetric peaks and troughs suggest consistent, harmonic movement. This type of graph is commonly used to depict oscillations in physics, particularly in systems involving springs or pendulums.
Chemical pathways by which living things function, especially those that provide cellular energy, such as the transformation of energy from food into the energy of ATP. Metabolism also focuses on chemical pathways involving the synthesis of new biomolecules and the elimination of waste.
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