DP Physics (last assessment 2024)

Question 21M.2.HL.TZ2.10b.i

b.i.

[Maximum mark: 2]

21M.2.HL.TZ2.10b.i

The table gives data for Jupiter and three of its moons, including the radius r of each object.

A spacecraft is to be sent from $Io$ to infinity.

(b.i)

Show that the $\frac{gravitational potential due to Jupiter at the orbit of Io}{gravitational potential due to Io at the surface of Io}$ is about 80.

[2]

Markscheme

$\frac{1.9 \times 10^{27}}{4.9 \times 10^{8}}$ AND $\frac{8.9 \times 10^{22}}{1.8 \times 10^{6}}$ seen ✓

$« \frac{1.9 \times 10^{27} \times 1.8 \times 10^{6}}{4.9 \times 10^{8} \times 8.9 \times 10^{22}} = » 78$ ✓

For MP1, potentials can be seen individually or as a ratio.

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