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Which object has the most gravitational potential energy? A 1 kg bag on a shelf 1 m above the ground B 2 kg bag on a shelf 1 m above the ground C 2 kg bag on a shelf 2 m above the ground D 1 kg bag on a shelf 2 m above the ground - OCR Gateway - GCSE Physics - Question 8 - 2019 - Paper 3

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Question 8

Which-object-has-the-most-gravitational-potential-energy?---A-1-kg-bag-on-a-shelf-1-m-above-the-ground---B-2-kg-bag-on-a-shelf-1-m-above-the-ground---C-2-kg-bag-on-a-shelf-2-m-above-the-ground---D-1-kg-bag-on-a-shelf-2-m-above-the-ground-OCR Gateway-GCSE Physics-Question 8-2019-Paper 3.png

Which object has the most gravitational potential energy? A 1 kg bag on a shelf 1 m above the ground B 2 kg bag on a shelf 1 m above the ground C 2 kg bag on a... show full transcript

Worked Solution & Example Answer:Which object has the most gravitational potential energy? A 1 kg bag on a shelf 1 m above the ground B 2 kg bag on a shelf 1 m above the ground C 2 kg bag on a shelf 2 m above the ground D 1 kg bag on a shelf 2 m above the ground - OCR Gateway - GCSE Physics - Question 8 - 2019 - Paper 3

Step 1

A 1 kg bag on a shelf 1 m above the ground

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Answer

To calculate gravitational potential energy (GPE), we use the formula:

GPE=mghGPE = mgh

Where:

  • m = mass (in kg)
  • g = acceleration due to gravity (approximately 9.81 m/s²)
  • h = height (in m)

For the 1 kg bag at 1 m:

GPE=1imes9.81imes1=9.81extJGPE = 1 imes 9.81 imes 1 = 9.81 ext{ J}

Step 2

B 2 kg bag on a shelf 1 m above the ground

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Answer

For the 2 kg bag at 1 m:

GPE=2imes9.81imes1=19.62extJGPE = 2 imes 9.81 imes 1 = 19.62 ext{ J}

Step 3

C 2 kg bag on a shelf 2 m above the ground

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Answer

For the 2 kg bag at 2 m:

GPE=2imes9.81imes2=39.24extJGPE = 2 imes 9.81 imes 2 = 39.24 ext{ J}

Step 4

D 1 kg bag on a shelf 2 m above the ground

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Answer

For the 1 kg bag at 2 m:

GPE=1imes9.81imes2=19.62extJGPE = 1 imes 9.81 imes 2 = 19.62 ext{ J}

Step 5

Conclusion

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Answer

Comparing all the calculated gravitational potential energies, we find:

  • A: 9.81 J
  • B: 19.62 J
  • C: 39.24 J
  • D: 19.62 J

The object with the most gravitational potential energy is the 2 kg bag on a shelf 2 m above the ground (C).

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