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Figure 6 shows a ‘Mars rover’ descending to the surface of the planet Mars - Edexcel - GCSE Physics Combined Science - Question 4 - 2022 - Paper 1

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Figure 6 shows a ‘Mars rover’ descending to the surface of the planet Mars. speed = 88 m/s 1.60 km speed = 0 m/s Figure 6 (i) Calculate the change in gravitatio... show full transcript

Worked Solution & Example Answer:Figure 6 shows a ‘Mars rover’ descending to the surface of the planet Mars - Edexcel - GCSE Physics Combined Science - Question 4 - 2022 - Paper 1

Step 1

Calculate the change in gravitational potential energy

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Answer

To find the change in gravitational potential energy (GPE) as the rover descends from position P to position Q, we can use the formula:

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

Where:

  • mm is the mass of the rover (1100 kg)
  • gg is the gravitational field strength (3.7 N/kg)
  • hh is the height difference, which is the distance from position P (1.80 km) to position Q (1.60 km), thus:

h=(1.801.60) km=0.20 km=200extmh = (1.80 - 1.60) \text{ km} = 0.20 \text{ km} = 200 ext{ m}

Now substituting the values into the equation:

ΔGPE=1100×3.7×200\Delta GPE = 1100 \times 3.7 \times 200

Calculating this gives:

ΔGPE=814000 J\Delta GPE = 814000 \text{ J}

Rounding to 2 significant figures, the change in gravitational potential energy is:

ΔGPE=810000 J\Delta GPE = 810000 \text{ J}

Step 2

Use data from Figure 6 to calculate the change in kinetic energy

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Answer

To find the change in kinetic energy (KE) as the rover descends from position P to position Q, we can use the formula:

ΔKE=12mv2\Delta KE = \frac{1}{2} m v^2

At position P, the speed is 88 m/s, thus substituting the values:

ΔKE=12×1100×(88)2\Delta KE = \frac{1}{2} \times 1100 \times (88)^2

Calculating this gives:

ΔKE=12×1100×7744=4268800 J\Delta KE = \frac{1}{2} \times 1100 \times 7744 = 4268800 \text{ J}

So, the change in kinetic energy is:

ΔKE=4300000 J\Delta KE = 4300000 \text{ J}

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