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Information about five planets is shown in the table below. Planet & Diameter (mathrm(km)) & Mass (mathrm(kg)) Mercury & 4.88 times 10^3 & 3.3 times 10^23 Jupiter & 1.43 times 10^5 & 1.898 times 10^27 Earth & 1.28 times 10^4 & 5.97 times 10^24 Mars & 6.78 times 10^3 & 6.42 times 10^23 Saturn & 1.21 times 10^5 & 5.68 times 10^26 a) Write down the name of the planet with the greatest mass. b) Work out the radius of Mercury giving your answer as an ordinary nur c) Work out the difference between the masses of Jupiter and Saturn. Give your answer in standard form.

Question

Information about five planets is shown in the table below.

 Planet & Diameter (mathrm(km)) & Mass (mathrm(kg)) 
 Mercury & 4.88 times 10^3 & 3.3 times 10^23 
 Jupiter & 1.43 times 10^5 & 1.898 times 10^27 
 Earth & 1.28 times 10^4 & 5.97 times 10^24 
 Mars & 6.78 times 10^3 & 6.42 times 10^23 
 Saturn & 1.21 times 10^5 & 5.68 times 10^26 


a) Write down the name of the planet with the greatest mass.
b) Work out the radius of Mercury giving your answer as an ordinary nur
c) Work out the difference between the masses of Jupiter and Saturn. Give your answer in standard form.

Information about five planets is shown in the table below. Planet & Diameter (mathrm(km)) & Mass (mathrm(kg)) Mercury & 4.88 times 10^3 & 3.3 times 10^23 Jupiter & 1.43 times 10^5 & 1.898 times 10^27 Earth & 1.28 times 10^4 & 5.97 times 10^24 Mars & 6.78 times 10^3 & 6.42 times 10^23 Saturn & 1.21 times 10^5 & 5.68 times 10^26 a) Write down the name of the planet with the greatest mass. b) Work out the radius of Mercury giving your answer as an ordinary nur c) Work out the difference between the masses of Jupiter and Saturn. Give your answer in standard form.

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a) The planet with the greatest mass is Jupiter, with a mass of \(1.898 \times 10^{27}\) kg.<br /><br />b) The radius of Mercury is \(\frac{4.88 \times 10^{3}}{2} = 2.44 \times 10^{3} \) km.<br /><br />c) The difference between the masses of Jupiter and Saturn is \(1.898 \times 10^{27} - 5.68 \times 10^{26} = 1.33 \times 10^{27}\) kg.

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## Step1: <br />To find the planet with the greatest mass, we need to compare the mass of each planet. The mass of each planet is given in scientific notation. We first compare the exponents of each planet's mass. The planet with the highest exponent has the greatest mass. If two or more planets have the same exponent, we then compare the coefficients. The planet with the highest coefficient has the greatest mass. <br /><br />## Step2: <br />To find the radius of Mercury, we use the formula for the diameter of a sphere, which is twice the radius. Therefore, the radius is half of the diameter. <br /><br />### The formula is: \(\textbf{Radius} = \frac{\textbf{Diameter}}{2} \)<br /><br />## Step3: <br />To find the difference between the masses of Jupiter and Saturn, we subtract the mass of Saturn from the mass of Jupiter. <br /><br />### The formula is: \( \textbf{Difference} = \textbf{Mass of Jupiter} - \textbf{Mass of Saturn} \)
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