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The box has a mass of 57 kg - Edexcel - GCSE Physics Combined Science - Question 3 - 2022 - Paper 1

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The box has a mass of 57 kg. The truck lifts the box through a vertical height of 2.1 m. The gravitational field strength, g = 10 N/kg. Calculate the change in th... show full transcript

Worked Solution & Example Answer:The box has a mass of 57 kg - Edexcel - GCSE Physics Combined Science - Question 3 - 2022 - Paper 1

Step 1

Calculate the change in the gravitational potential energy of the box.

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Answer

To find the change in gravitational potential energy (GPE), we use the formula:

ΔGPE=m×g×h\Delta GPE = m \times g \times h

Where:

  • m=57 kgm = 57 \text{ kg} (mass of the box)
  • g=10 N/kgg = 10 \text{ N/kg} (gravitational field strength)
  • h=2.1 mh = 2.1 \text{ m} (height lifted)

Substituting the values into the formula:

ΔGPE=57×10×2.1\Delta GPE = 57 \times 10 \times 2.1

Calculating this gives:

ΔGPE=57×21=1197 J\Delta GPE = 57 \times 21 = 1197 \text{ J}

Rounding this to two significant figures, the change in potential energy is approximately:

ΔGPE1200 J\Delta GPE \approx 1200 \text{ J}

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