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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 measurement... 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), include the following elements:

  1. Falling Object: Illustrate a ball or pendulum bob.
  2. Picket Fence: Use this to measure the time intervals as the object falls through it.
  3. Timer: Include a stopwatch or timing device in the diagram.
  4. Support Structure: Show how the apparatus is held in place.
  5. Labels: Clearly label each part of the apparatus with arrows pointing to them.

Step 2

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

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Answer

The measurements taken to calculate g include:

  1. Distance (d): This is the length of the pendulum or the height from which the object is dropped. It is measured using a meter stick.
  2. Time (t): The time taken for the object to fall is recorded using a stopwatch or timer. The time for multiple drops might be measured to improve accuracy.

These measurements are taken by:

  • Dropping the object from a known height (distance) and starting the timer simultaneously as the object is released.
  • Stopping the timer once the object passes a reference point, like a picket fence.

Step 3

How were these measurements used to calculate g?

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Answer

The measurements are used to calculate g using the formula:

g=2dt2g = \frac{2d}{t^2}

Where:

  • d is the distance fallen.
  • t is the time taken for the fall.

The procedure involves substituting the measured distance and time values into the formula to compute g. For instance, if the distance was measured as 5 m and the time was recorded as 1.0 s, substituting the values gives:

g=2×5(1.0)2=10m/s2g = \frac{2 \times 5}{(1.0)^2} = 10 \, \text{m/s}^2

Step 4

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

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Answer

To ensure accuracy in the measurement of g, the following precautions could be taken:

  1. Avoid Parallax Error: Ensure that the measuring instrument (like the ruler or meter stick) is viewed at eye level to avoid misreading the measurement.
  2. Minimize Air Resistance: Conduct the experiment in a controlled environment where air currents are minimized to ensure the object falls freely without other forces acting on it.

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