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The mass and volume of a planet are given in the table belo Work out the density of the planet. Give your answer in standard index form. Mass & 7 times 10^29 mathrm(~kg) Volume & 2 times 10^26 mathrm(~m)^3 Density & mathrm(kg) / mathrm(m)^3 [ ( density )=( ( mass ))/( ( volume )) ]

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The mass and volume of a planet are given in the table belo Work out the density of the planet. Give your answer in standard index form. Mass & 7 times 10^29 mathrm(~kg) Volume & 2 times 10^26 mathrm(~m)^3 Density & mathrm(kg) / mathrm(m)^3 [ ( density )=( ( mass ))/( ( volume )) ]

The mass and volume of a planet are given in the table belo Work out the density of the planet. Give your answer in standard index form. Mass & 7 times 10^29 mathrm(~kg) Volume & 2 times 10^26 mathrm(~m)^3 Density & mathrm(kg) / mathrm(m)^3 [ ( density )=( ( mass ))/( ( volume )) ]

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RowanElite · Tutor for 8 years

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The density of the planet is \(3.5 \times 10^{3} \, \mathrm{kg/m}^{3}\)

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## Step1: <br />The first step involves understanding the problem and identifying the values given. In this case, we are told that the mass of the planet is \(7 \times 10^{29} \) kg. and its volume is \(2 \times 10^{26} \) m³. We need to calculate the density from the given information. <br /><br /><br />## Step2: <br />Recall that the formula for calculating the density is the mass divided by the volume it occupies. This is stated in mathematical symbols as: <br /><br />### \( \mathrm{Density} = \frac{\mathrm{Mass}}{\mathrm{Volume}} \)<br /><br />Substituting the given mass and volume from the problem into the formula, we get <br /><br />### \( \mathrm{Density} = \frac{7 \times 10^{29}\, \mathrm{kg}}{2 \times 10^{26}\, \mathrm{m}^{3}} \)<br /><br /><br />## Step3:<br />Solve the equation to find the value for the density:<br />One structural method to solve such calculations, especially when handling a calculation involving numbers expressed in Scientific Notation, is to individually divide the figures and then the powers.<br /><br />Thus,<br />### \( \mathrm{Density} = \frac{7}{2} \times \frac{10^{29}}{10^{26}} \)<br />Which is simplified to<br />### \( \mathrm{Density} = 3.5 \times 10^{3} \)
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