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Figure 8 shows a student before and during a bungee jump - AQA - GCSE Physics - Question 6 - 2023 - Paper 1

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Figure 8 shows a student before and during a bungee jump. The diagram is not to scale. In position B, the student is moving towards the river and the bungee cord i... show full transcript

Worked Solution & Example Answer:Figure 8 shows a student before and during a bungee jump - AQA - GCSE Physics - Question 6 - 2023 - Paper 1

Step 1

How do the energy stores in position B compare with the energy stores in position A?

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Answer

Energy storeLess than at AThe same as at AMore than at A
The student’s gravitational potential energy
The student’s kinetic energy
The bungee cord’s elastic potential energy

Step 2

Calculate the elastic potential energy stored by the bungee cord.

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Answer

To calculate the elastic potential energy (Eₑ) stored by the bungee cord, we use the formula:

Ee=0.5imeskimesx2Eₑ = 0.5 imes k imes x^2

where:

  • k=78.4N/mk = 78.4 \, \text{N/m} (spring constant)
  • x=25mx = 25 \, \text{m} (extension)

Substituting the values:

Ee=0.5imes78.4imes(252)Eₑ = 0.5 imes 78.4 imes (25^2) Ee=0.5imes78.4imes625Eₑ = 0.5 imes 78.4 imes 625 Ee=24,500JEₑ = 24,500 \, \text{J}

Step 3

Give the reason why.

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Answer

Bungee cord C will have a smaller extension than A or B because it needs to exert the greatest spring constant to accommodate the heaviest jumper.

Step 4

Which bungee cord would be safest to use for a person with a large weight?

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Answer

Bungee cord A would be safest for a person with a large weight because it has the greatest extension before snapping, allowing for more tolerance under pressure.

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