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Figure 10 shows a small steel ball held at a height, h, above the ground - Edexcel - GCSE Physics - Question 7 - 2021 - Paper 1

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Figure 10 shows a small steel ball held at a height, h, above the ground. The ball is released and allowed to fall to the ground. The height h is 1.4 m. Calculate... show full transcript

Worked Solution & Example Answer:Figure 10 shows a small steel ball held at a height, h, above the ground - Edexcel - GCSE Physics - Question 7 - 2021 - Paper 1

Step 1

Calculate the time, t, for the ball to reach the ground.

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Answer

To find the time taken for the ball to reach the ground, we can use the formula:

t2=2hgt^2 = \frac{2h}{g}

Substituting the values:

t2=2×1.410t^2 = \frac{2 \times 1.4}{10}

Calculating this gives:

t2=0.28t^2 = 0.28

Taking the square root:

t=0.280.53st = \sqrt{0.28} \approx 0.53 \, \text{s}

Step 2

Suggest a reason why the students’ value for t is different from the calculated value.

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Answer

One reason could be the students' reaction time while starting and stopping the stopwatch, which can affect the recorded time. This delay would lead to a longer measured time compared to the calculated time.

Step 3

Suggest one improvement the students could make to their procedure so that their value for t is closer to the calculated value.

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Answer

The students could use light gates to accurately measure the time as the ball passes through, reducing human reaction time errors.

Step 4

Calculate the magnitude of the force exerted by the floor on the box.

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Answer

To calculate the force exerted by the floor on the box, we can use the formula:

Force=Change in momentumTime\text{Force} = \frac{\text{Change in momentum}}{\text{Time}}

The change in momentum is 8.7 kg m/s, and the time taken to come to rest is 0.355 s. Therefore:

Force=8.70.35524.57N25N\text{Force} = \frac{8.7}{0.355} \approx 24.57 \, \text{N} \approx 25 \, \text{N}

Step 5

State the magnitude and direction of the force exerted by the box on the floor.

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Answer

The magnitude of the force exerted by the box on the floor is 25 N, and the direction is upwards (opposite to the direction of the force exerted by the floor on the box).

Step 6

Calculate the mass of the ball.

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Answer

To find the mass of the ball, we can use the formula for momentum:

extMomentum=m×v ext{Momentum} = m \times v

Where:

  • Momentum = 0.40 kg m/s
  • Velocity at S (just before it falls) = 8.7 m/s

Rearranging the formula gives:

m=Momentumv=0.408.70.046kgm = \frac{\text{Momentum}}{v} = \frac{0.40}{8.7} \approx 0.046 \, \text{kg}

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