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You carried out an experiment to investigate the relationship between the acceleration of a body and the force applied to it - Leaving Cert Physics - Question 1 - 2010

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You carried out an experiment to investigate the relationship between the acceleration of a body and the force applied to it. You did this by applying a force to a b... show full transcript

Worked Solution & Example Answer:You carried out an experiment to investigate the relationship between the acceleration of a body and the force applied to it - Leaving Cert Physics - Question 1 - 2010

Step 1

Draw a labelled diagram of the apparatus you used.

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Answer

In the diagram:

  • Trolley: Represented as a rectangular box with wheels.
  • Runway: A straight line depicted underneath the trolley, showing a smooth surface.
  • Pulley: A small circle at one end of the runway, with a string going over it.
  • Weights: Shown by adding circles or squares denoting weights attached to the string.
  • Measuring Devices: Include photo-gates and a timer symbol adjacent to the trolley, indicating where the measurement occurs.

Step 2

How did you measure the applied force?

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The applied force was measured using:

  • A digital balance to weigh the pan loaded with weights.
  • The formula used was:

ext{Force} = rac{ ext{mass} imes g}{ ext{unit}}

where g is the acceleration due to gravity (approximately 9.81extm/s29.81 ext{ m/s}^2).

Step 3

How did you minimise the effect of friction during the experiment?

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To minimize friction:

  • The runway was cleaned to ensure a smooth surface.
  • Oil was applied on the wheels of the trolley to reduce friction between the trolley and runway.
  • The trolley was adjusted to be level, ensuring there were no additional forces acting against motion.

Step 4

Plot a graph on graph paper of the body's acceleration against the force applied to it.

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To plot the graph:

  • The x-axis represents the Force (N) and the y-axis represents the Acceleration (m/s²).
  • Data points were plotted based on the table values. For example, when the force is 0.20 N, the acceleration is 0.4 m/s².
  • A straight line was drawn through the points, indicating a direct relationship between force and acceleration.

Step 5

What does your graph tell you about the relationship between the acceleration of the body and the force applied to it?

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Answer

The graph indicates that:

  • There is a direct proportionality between the acceleration of the body and the force applied to it.
  • As the force increases, the acceleration also increases linearly, demonstrating that they are directly proportional to one another.
  • This relationship supports Newton's Second Law of Motion.

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