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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) | |----------|--------------------------|-------------| | ... 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, which has a mass of approximately 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

To find the difference in mass, we subtract the mass of Mercury from the mass of Venus:

Mass of Venus: 4.869×10244.869 \times 10^{24} kg Mass of Mercury: 3.302×10233.302 \times 10^{23} kg

Calculating the difference: 4.869×10243.302×1023=4.5398×1024 kg4.869 \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 determine if Nishat is correct, we need to compare the distances from Earth to Venus and Neptune:

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

Now, calculate the ratio: (4.35×1010)(4.14×1010)1.051 (approximately 1.05 times)\frac{(4.35 \times 10^{10})}{(4.14 \times 10^{10})} \approx 1.051 \text{ (approximately 1.05 times)}

Since 1.05 is less than 100, Nishat is not right.

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