Exam-Style Question on Ratio Standard Form

Question id: 248. This question is similar to one that appeared on a GCSE Higher paper (specimen) for 2017. The use of a calculator is allowed.

The surface gravity, $g$, of a planet is the gravitational acceleration experienced at its surface. The following formula can be used to find how a planet's gravity compares to Earth's.

$$g=\frac{6.67 \times 10^{-11} \times m}{r^2}$$

Where $m$ is the mass of the planet and $r$ is the radius.

Find the ratio of the surface gravity on Jupiter and the surface gravity Mars. Give your answer in the form $n:1$.

	Mass (kg)	Radius (m)
Jupiter	1.90 × 10²⁷	6.68 × 10⁷
Mars	6.39 × 10²³	3.39 × 10⁶

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Exam-Style Question on Ratio Standard Form

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