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6 (a) An atom of mass 6.6 × 10^{-27} 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^{-27} 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^{-27} 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 find the momentum (p) of the atom, we can use the formula:

p=mimesvp = m imes v

where:

  • mm is the mass of the atom, and
  • vv is the velocity of the atom.

Substituting the given values: p=6.6imes1027extkgimes480extm/sp = 6.6 imes 10^{-27} ext{ kg} imes 480 ext{ m/s}

Calculating this gives: p=3.168imes1024extkgm/sp = 3.168 imes 10^{-24} ext{ kg m/s}

Step 2

Calculate the force exerted on the ball by the wall.

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Answer

To calculate the force (F) exerted by the wall on the ball, we can use the formula:

F=ΔpΔtF = \frac{\Delta p}{\Delta t}

where:

  • Δp\Delta p is the change in momentum, and
  • Δt\Delta t is the time of contact.

First, we calculate the change in momentum: Δp=pfinalpinitial=(0.60extkgm/s)(0.80extkgm/s)=0.20extkgm/s\Delta p = p_{final} - p_{initial} = (0.60 ext{ kg m/s}) - (0.80 ext{ kg m/s}) = -0.20 ext{ kg m/s}

Next, we use the time of contact, which is given as 70 ms (or 70imes10370 imes 10^{-3} seconds):

Now substituting in the values: F=0.20extkgm/s70×103extsF = \frac{-0.20 ext{ kg m/s}}{70 \times 10^{-3} ext{ s}}

Calculating this gives: F=2.857extNF = -2.857 ext{ N} (The negative sign indicates the force is in the opposite direction of the initial momentum of the ball.)

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