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A student performed an experiment to investigate the principle of conservation of momentum - Leaving Cert Physics - Question 1 - 2020

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A student performed an experiment to investigate the principle of conservation of momentum. He released one trolley and it travelled along a track and collided with... show full transcript

Worked Solution & Example Answer:A student performed an experiment to investigate the principle of conservation of momentum - Leaving Cert Physics - Question 1 - 2020

Step 1

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

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Answer

A labeled diagram should include the following components:

  1. A smooth runway indicating the track.
  2. Two trolleys placed on the track.
  3. Gliders or riders on top of each trolley.
  4. A detail showing the sticking mechanism where the collision occurs.

Step 2

(ii) How did the student measure the masses of the trolleys?

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Answer

The student used an electronic balance to measure the masses of the trolleys. By placing each trolley on the scale, the mass was directly read from the digital display.

Step 3

(iii) Describe how the distance was measured.

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Answer

The student used a meter stick to measure the distance. The distance from the starting point of trolley A to the collision point was recorded. Markers could also be placed at defined intervals to help in measurements.

Step 4

(iv) Describe how the time was measured.

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Answer

The time was measured using a stopwatch. The student started the stopwatch when the trolley was released and stopped it when the trolleys collided.

Step 5

(v) How did the student use the distance and the time to calculate the velocity?

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Answer

The student calculated the velocity using the formula:

v=dtv = \frac{d}{t}

where vv is the velocity, dd is the distance, and tt is the time taken. By plotting the distance against time, the slope of the line represents the velocity.

Step 6

(vi) Calculate the combined momentum of trolleys A and B after the collision.

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Answer

The combined momentum can be calculated using the formula:

Momentum=(mA+mB)×vf\text{Momentum} = (m_A + m_B) \times v_f

Where:

  • mA=0.38m_A = 0.38 kg
  • mB=0.35m_B = 0.35 kg
  • vf=0.78v_f = 0.78 m s⁻¹

So,

(0.38+0.35)×0.78=0.569 kg m s1(0.38 + 0.35) \times 0.78 = 0.569 \text{ kg m s}^{-1}

Step 7

(vii) Was momentum conserved in this collision? Explain your answer.

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Answer

Yes, momentum was conserved in this collision. The total momentum before the collision, 0.57 kg m s⁻¹, is equal to the combined momentum after the collision at 0.569 kg m s⁻¹, with very minimal discrepancy likely due to experimental error.

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