As the captain of the scientific team sent to Planet Physics, one of your tasks is to measure g. You have a long, thin wire labeled 1.64 g/m and a 1.20 kg weight. You have your accurate space cadet chronometer but, unfortunately, you seem to have forgotten a meter stick. Undeterred, you first find the midpoint of the wire by folding it in half. You then attach one end of the wire to the wall of your laboratory, stretch it horizontally to pass over a pulley at the midpoint of the wire, then tie the 1.20 kg weight to the end hanging over the pulley. By vibrating the wire, and measuring time with your chronometer, you find that the wire's second harmonic frequency is 200 Hz. Next, with the 1.20 kg weight still tied to one end of the wire, you attach the other end to the ceiling to make a pendulum. You find that the pendulum requires 314 s to complete 200 oscillations Pulling out your trusty calculator you get to work What value of g will you report back to headquarters? Express your answer with the appropriate units. ▸ View Available Hint(s) μA ?

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### Planet Physics Experimentation: Measuring Gravitational Acceleration

#### Experimental Scenario:
As the captain of the scientific team sent to Planet Physics, one of your tasks is to measure the gravitational acceleration (g).

#### Equipment Provided:
- **Wire**: A long, thin wire labeled 1.64 g/m.
- **Weight**: A 1.20 kg weight.
- **Chronometer**: Accurate space cadet chronometer.

#### Procedure:
1. *Preparing the Wire*:
   - First, you fold the wire in half to find its midpoint.

2. *Setting Up the Vibration Experiment*:
   - Attach one end of the wire to the wall of your laboratory.
   - Stretch it horizontally and pass it over a pulley located at the midpoint of the wire.
   - Attach the 1.20 kg weight to the end hanging over the pulley.

3. *Measuring Second Harmonic Frequency*:
   - Vibrating the wire and measuring the time with your chronometer, you determine the wire's second harmonic frequency as 200 Hz.

4. *Setting Up the Pendulum*:
   - Attach the 1.20 kg weight to one end of the wire, and secure the other end to the ceiling, creating a pendulum.
   - You measure the time it takes for the pendulum to complete 200 oscillations, recording it as 314 seconds.

#### Calculation Task:
Using the provided data and measurements, you are tasked to calculate and report the gravitational acceleration (g) back to headquarters.

#### Question:
**What value of g will you report back to headquarters?**
- *Express your answer with the appropriate units.*

#### Hints Available:
- **Hints**: Click to view hints if needed.

---
### Answer Submission:
**Input Field Provided for Answer Submission**

#### Additional Tools:
Options and tools for submitting your answer include:
- **Symbols Tool**: For entering mathematical symbols.

This setup ensures you have all the necessary information and tools to perform the calculation accurately. Utilize the given frequency, mass, and oscillation data to derive the gravitational constant in your environment on Planet Physics.
Transcribed Image Text:### Planet Physics Experimentation: Measuring Gravitational Acceleration #### Experimental Scenario: As the captain of the scientific team sent to Planet Physics, one of your tasks is to measure the gravitational acceleration (g). #### Equipment Provided: - **Wire**: A long, thin wire labeled 1.64 g/m. - **Weight**: A 1.20 kg weight. - **Chronometer**: Accurate space cadet chronometer. #### Procedure: 1. *Preparing the Wire*: - First, you fold the wire in half to find its midpoint. 2. *Setting Up the Vibration Experiment*: - Attach one end of the wire to the wall of your laboratory. - Stretch it horizontally and pass it over a pulley located at the midpoint of the wire. - Attach the 1.20 kg weight to the end hanging over the pulley. 3. *Measuring Second Harmonic Frequency*: - Vibrating the wire and measuring the time with your chronometer, you determine the wire's second harmonic frequency as 200 Hz. 4. *Setting Up the Pendulum*: - Attach the 1.20 kg weight to one end of the wire, and secure the other end to the ceiling, creating a pendulum. - You measure the time it takes for the pendulum to complete 200 oscillations, recording it as 314 seconds. #### Calculation Task: Using the provided data and measurements, you are tasked to calculate and report the gravitational acceleration (g) back to headquarters. #### Question: **What value of g will you report back to headquarters?** - *Express your answer with the appropriate units.* #### Hints Available: - **Hints**: Click to view hints if needed. --- ### Answer Submission: **Input Field Provided for Answer Submission** #### Additional Tools: Options and tools for submitting your answer include: - **Symbols Tool**: For entering mathematical symbols. This setup ensures you have all the necessary information and tools to perform the calculation accurately. Utilize the given frequency, mass, and oscillation data to derive the gravitational constant in your environment on Planet Physics.
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