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In a report of an experiment to verify the principle of conservation of momentum, a student wrote the following: I assembled the apparatus needed for the experiment - Leaving Cert Physics - Question 1 - 2006

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In a report of an experiment to verify the principle of conservation of momentum, a student wrote the following: I assembled the apparatus needed for the experiment... show full transcript

Worked Solution & Example Answer:In a report of an experiment to verify the principle of conservation of momentum, a student wrote the following: I assembled the apparatus needed for the experiment - Leaving Cert Physics - Question 1 - 2006

Step 1

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

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Answer

To draw the apparatus for the experiment, ensure to represent the following components:

  • A straight runway representing the air track.
  • Two trolleys placed on the runway.
  • Timer devices to record motion: this can be either a photogate or a motion sensor.
  • A diagrammatic representation of how the trolleys are attached or positioned, if applicable. Labels should clearly indicate each component’s purpose.

Step 2

How did the student measure the mass of the trolleys?

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Answer

The student used an electronic balance or scales to measure the mass of the trolleys. This method ensures accuracy by providing a direct measurement of the mass.

Step 3

Explain how the student calculated the velocity of the trolleys.

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Answer

The student calculated the velocity of the trolleys using the formula:

velocity=distancetimevelocity = \frac{distance}{time}

The distance was measured using a ruler or measuring tape, and the time was recorded using a timer. The student would perform the calculation as:

velocity=dtvelocity = \frac{d}{t}

where:

  • d = distance traveled by the trolley
  • t = time taken for that distance.

Step 4

How did the student determine the momentum of the trolleys?

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Answer

The momentum of the trolleys was determined using the formula:

momentum=mass×velocitymomentum = mass \times velocity

The student multiplied the mass of each trolley (obtained from the measurement) by its velocity (calculated in the previous step).

Step 5

How did the student verify the principle of conservation of momentum?

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Answer

The student verified the principle of conservation of momentum by comparing the total momentum of the system before and after the collision or interaction of the trolleys. This involves:

  1. Calculating the total momentum before the interaction using the formula: total momentumbefore=momentumtrolley1+momentumtrolley2total\ momentum_{before} = momentum_{trolley1} + momentum_{trolley2}
  2. Calculating the total momentum after the interaction using the same formula.
  3. Showing that the total momentum before equals the total momentum after, confirming the conservation principle.

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