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9 (a) An atom of mass 6.6 x 10^{-27} kg is moving with a velocity of 480 m/s - Edexcel - GCSE Physics - Question 9 - 2023 - Paper 1

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9 (a) An atom of mass 6.6 x 10^{-27} kg is moving with a velocity of 480 m/s. Calculate the momentum of the atom. (b) Figure 18 shows a ball before and after it co... show full transcript

Worked Solution & Example Answer:9 (a) An atom of mass 6.6 x 10^{-27} kg is moving with a velocity of 480 m/s - Edexcel - GCSE Physics - Question 9 - 2023 - Paper 1

Step 1

Calculate the momentum of the atom.

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Answer

To calculate momentum (p), use the formula:

p=m×vp = m \times v

where:

  • m=6.6×1027 kgm = 6.6 \times 10^{-27} \text{ kg}
  • v=480 m/sv = 480 \text{ m/s}

Substituting the values:

p=6.6×1027 kg×480 m/sp = 6.6 \times 10^{-27} \text{ kg} \times 480 \text{ m/s}

Calculating gives:

p=3.168×1024 kg m/sp = 3.168 \times 10^{-24} \text{ kg m/s}

Thus, the momentum of the atom is 3.2×1024 kg m/s3.2 \times 10^{-24} \text{ kg m/s}.

Step 2

Calculate the force exerted on the ball by the wall.

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Answer

Before the collision, the momentum of the ball is 0.80 kg m/s0.80 \text{ kg m/s} and after the collision, it is 0.60 kg m/s0.60 \text{ kg m/s} in the opposite direction.

The change in momentum (Δp\Delta p) is:

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

Here, the initial momentum is 0.80 kg m/s0.80 \text{ kg m/s} (to the right) and the final momentum is 0.60 kg m/s-0.60 \text{ kg m/s} (to the left):

Δp=0.600.80=1.40 kg m/s\Delta p = -0.60 - 0.80 = -1.40 \text{ kg m/s}

The time of contact is 70 ms=70×103 s70 \text{ ms} = 70 \times 10^{-3} \text{ s}. To find the force (F), we use:

F=ΔptF = \frac{\Delta p}{t}

Substituting in the values gives:

F=1.40 kg m/s70×103 s=20.0 NF = \frac{-1.40 \text{ kg m/s}}{70 \times 10^{-3} \text{ s}} = -20.0 \text{ N}

Thus, the force exerted on the ball by the wall is 20.0 N20.0 \text{ N} in the direction opposite to the ball's initial motion.

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