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Question

# Name a planet on which you would weigh less than on Earth.Name a planet on which you would weigh more than on Earth. Explain how you know.

Solution

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$\text{\color{#4257b2}Weight on different Planets}$

$\text{\underline{Mars}}$

Mars's mass is $6.423\times10^{23}$ kg, approximately one-tenth the mass of earth and its diameter; $6794$ km compared to earth; $12740$ km. If the acceleration of an object is, by Newtons 3rd Law;

$\begin{gather*} a=G\dfrac{m}{R^{2}}\\ a_{\text{Mars}}\propto\dfrac{1}{10}\cdot\left( \dfrac{12740}{6794}\right)^{2}a_{\text{Earth}}

So can deduce that gravity is less on Mars and you would weigh less compared with earth.

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