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An experiment was set up to measure g, the acceleration due to gravity - Leaving Cert Physics - Question 1 - 2017

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An experiment was set up to measure g, the acceleration due to gravity. (i) Draw a labelled diagram of the apparatus used in this experiment. (ii) What measurements ... show full transcript

Worked Solution & Example Answer:An experiment was set up to measure g, the acceleration due to gravity - Leaving Cert Physics - Question 1 - 2017

Step 1

Draw a labelled diagram of the apparatus used in this experiment.

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Answer

To draw a labelled diagram of the apparatus used to measure the acceleration due to gravity (g), the key components should be represented:

  • Falling Object/Ball: Clearly illustrate the object that falls during the experiment.
  • Pendulum Bob: If a pendulum is used, label the bob.
  • Picket Fence: Indicate the picket fence that will be used to measure the time of fall.
  • Timer: Show a stopwatch or digital timer that records the time taken for the object to fall.
  • Detailing: Include any fixed-point references or calculation mechanisms, such as a calculator or computer for data analysis.

Ensure that each component is clear and labelled thoughtfully.

Step 2

What measurements were taken to calculate g? How were these measurements taken?

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Answer

In the experiment to calculate g:

  1. Distance Measurement: The distance (d) that the object falls should be measured. This could be the length of the pendulum or the vertical distance of a free fall.

    • How Taken: The distance can be measured using a meter stick or a ruler, ensuring accuracy by starting from a fixed point.
  2. Time Measurement: The time (t) taken for the fall needs to be recorded.

    • How Taken: The time is captured using a stopwatch which starts when the object is released and stops when it reaches the bottom. It’s important to have a consistent timing strategy, possibly using a light gate setup to detect the start and end.

Step 3

How were these measurements used to calculate g?

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Answer

The measurements taken are used in the formula for calculating g:

We start with the formula: g = rac{2d}{t^2}

Where:

  • d is the distance fallen.
  • t is the time taken.
  1. Substituting Values: Substitute the measured values of distance and time into the formula.
  2. Calculation: Perform the calculations to solve for g. If there are errors in the measurements (e.g. timing errors), this will affect the value of g calculated.

Step 4

State two precautions which the student might have taken to get an accurate result.

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Answer

To ensure accurate results during the experiment, the student might take the following precautions:

  1. Avoid Parallax Error: When measuring the distance or time, the student should ensure their eye level is aligned with the measurement scale to avoid parallax error.
  2. Use of Smallest Value Recording: To improve accuracy in timing, the student might use a digital timer, which is less likely to have human reaction time errors, and ensure that only the shortest measurement is recorded for timing.

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