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The table shows some information about eight planets - Edexcel - GCSE Maths - Question 10 - 2017 - Paper 2

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The table shows some information about eight planets. Planet Distance from Earth (km) Mass (kg) Earth 0 5.97 × 10^24... show full transcript

Worked Solution & Example Answer:The table shows some information about eight planets - Edexcel - GCSE Maths - Question 10 - 2017 - Paper 2

Step 1

Write down the name of the planet with the greatest mass.

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Answer

The planet with the greatest mass is Jupiter, with a mass of 1.898×10271.898 \times 10^{27} kg.

Step 2

Find the difference between the mass of Venus and the mass of Mercury.

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Answer

The mass of Venus is 4.869×10244.869 \times 10^{24} kg and the mass of Mercury is 3.302×10233.302 \times 10^{23} kg. To find the difference:

4.869×10243.302×1023=4.5398×1024 kg.4.869 \times 10^{24} - 3.302 \times 10^{23} = 4.5398 \times 10^{24} \text{ kg.}

Step 3

Is Nishat right?

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Answer

To verify Nishat's claim, we compare the distances:

  • Distance from Earth to Venus: 4.14×10104.14 \times 10^{10} km.
  • Distance from Earth to Neptune: 4.35×10104.35 \times 10^{10} km.

Calculating the ratio:

4.35×10104.14×10101.05,\frac{4.35 \times 10^{10}}{4.14 \times 10^{10}} \approx 1.05,

which indicates that Neptune is not over a hundred times further away from Earth than Venus. Therefore, Nishat is incorrect.

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