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6 (a) An atom of mass 6.6 × 10^{-26} kg is moving with a velocity of 480 m/s - Edexcel - GCSE Physics Combined Science - Question 6 - 2023 - Paper 1

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6 (a) An atom of mass 6.6 × 10^{-26} kg is moving with a velocity of 480 m/s. Calculate the momentum of the atom. (b) Figure 11 shows a ball before and after it col... show full transcript

Worked Solution & Example Answer:6 (a) An atom of mass 6.6 × 10^{-26} kg is moving with a velocity of 480 m/s - Edexcel - GCSE Physics Combined Science - Question 6 - 2023 - Paper 1

Step 1

Calculate the momentum of the atom.

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Answer

To calculate the momentum of the atom, we use the formula:

p=mimesvp = m imes v

where:

  • pp is the momentum,
  • mm is the mass of the atom,
  • vv is the velocity of the atom.

Substituting the given values: p=(6.6×1026 kg)×(480 m/s)p = (6.6 \times 10^{-26} \text{ kg}) \times (480 \text{ m/s})

Calculating this yields: p=3.168×1023 kg m/sp = 3.168 \times 10^{-23} \text{ kg m/s}

Step 2

Calculate the force exerted on the ball by the wall.

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Answer

To calculate the force exerted on the ball by the wall, we need to determine the change in momentum and the time of contact. The change in momentum (Δp\Delta p) can be calculated as follows:

Δp=pfinalpinitial\Delta p = p_{final} - p_{initial} where:

  • pinitial=0.80 kg m/sp_{initial} = 0.80 \text{ kg m/s} (before collision)
  • pfinal=0.60 kg m/sp_{final} = -0.60 \text{ kg m/s} (after collision, negative sign indicates opposite direction)

Calculating the change in momentum: Δp=0.600.80=1.40 kg m/s\Delta p = -0.60 - 0.80 = -1.40 \text{ kg m/s}

Next, we use the impulse-momentum theorem, which states that force (FF) can be calculated via the equation:

F=ΔpΔtF = \frac{\Delta p}{\Delta t}

where Δt=70 ms=70×103 s\Delta t = 70 \text{ ms} = 70 \times 10^{-3} \text{ s}. Thus,

F=1.4070×103F = \frac{-1.40}{70 \times 10^{-3}} Calculating this gives: F=20.0 NF = -20.0 \text{ N} (The negative sign indicates the direction of the force is opposite to the initial momentum.)

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