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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

The student's gravitational potential energy is less than at A because the student is descending towards the river. The student's kinetic energy is more than at A due to the acceleration towards the ground. The bungee cord's elastic potential energy is more than at A as the bungee cord is stretched beyond its original length.

Step 2

Calculate the elastic potential energy stored by the bungee cord.

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Answer

Using the formula for elastic potential energy:

Ee=0.5×k×e2E_e = 0.5 \times k \times e^2

where:

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

We calculate:

Ee=0.5×78.4×252=24500 JE_e = 0.5 \times 78.4 \times 25^2 = 24500 \text{ J}

Step 3

Give the reason why Bungee cord C will have a smaller extension than A or B for any bungee jumper.

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Answer

Bungee cord C will have a smaller extension because it has the greatest spring constant, meaning it requires a larger force to extend it, allowing it to resist stretching more than the other cords.

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 to use as it has the greatest extension before snapping, allowing it to accommodate larger weights without breaking.

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