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Figure 9 shows a small steel ball held at a height, h, above the ground - Edexcel - GCSE Physics Combined Science - Question 5 - 2021 - Paper 1

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Figure 9 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 9 shows a small steel ball held at a height, h, above the ground - Edexcel - GCSE Physics Combined Science - Question 5 - 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, we use the equation:

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

Substituting the known values:

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

Calculating:

t2=2.810=0.28t^2 = \frac{2.8}{10} = 0.28

Thus, t=0.280.53t = \sqrt{0.28} \approx 0.53 seconds.

Step 2

Suggest one reason why the students' value for t is different from the calculated value.

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Answer

One possible reason is that the students may have reacted too slowly in starting or stopping the stopwatch, leading to an inaccurate measurement of the fall 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

An improvement could be to use light gates to automatically start and stop the timing, eliminating human reaction time errors.

Step 4

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

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Answer

Using the formula for force:

force=change in momentumtime\text{force} = \frac{\text{change in momentum}}{\text{time}}

The change in momentum is equal to the momentum just before it hits the floor, which is 8.7 kg m/s:

force=8.70.35\text{force} = \frac{8.7}{0.35}

Calculating:

force=24.85725 N\text{force} = 24.857 \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

Magnitude: 25 N Direction: Downwards, towards the floor.

Step 6

Calculate the mass of the ball.

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Answer

Using the formula for momentum:

momentum=mass×velocity\text{momentum} = \text{mass} \times \text{velocity}

We can rearrange for mass:

mass=momentumvelocity\text{mass} = \frac{\text{momentum}}{\text{velocity}}

Substituting the values:

mass=0.40v\text{mass} = \frac{0.40}{v}

To find the velocity at S, we need to assume it was released from rest. Without additional specific information on the velocity at that point, we can only present mass calculations based on further data.

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