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.
Answer
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Georgia
Professional · Tutor for 6 years
Answer
a) The planet with the greatest mass is Jupiter, with a mass of
kg.b) The radius of Mercury is
km.c) The difference between the masses of Jupiter and Saturn is
kg.
Explanation
## Step1: 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. ## Step2: 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. ### The formula is:
## Step3: To find the difference between the masses of Jupiter and Saturn, we subtract the mass of Saturn from the mass of Jupiter. ### The formula is: