Date | May 2021 | Marks available | 2 | Reference code | 21M.2.HL.TZ2.10 |
Level | Higher level | Paper | Paper 2 | Time zone | 2 |
Command term | Calculate | Question number | 10 | Adapted from | N/A |
Question
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 to infinity.
Calculate, for the surface of , the gravitational field strength gIo due to the mass of . State an appropriate unit for your answer.
Show that the is about 80.
Outline, using (b)(i), why it is not correct to use the equation to calculate the speed required for the spacecraft to reach infinity from the surface of .
An engineer needs to move a space probe of mass 3600 kg from Ganymede to Callisto. Calculate the energy required to move the probe from the orbital radius of Ganymede to the orbital radius of Callisto. Ignore the mass of the moons in your calculation.
Markscheme
✓
N kg−1 OR m s−2 ✓
AND seen ✓
✓
For MP1, potentials can be seen individually or as a ratio.
«this is the escape speed for alone but» gravitational potential / field of Jupiter must be taken into account ✓
OWTTE
✓
« multiplies by 3600 kg to get » 1.9 × 1011 «J» ✓
Award [2] marks if factor of ½ used, taking into account orbital kinetic energies, leading to a final answer of 9.4 x 1010 «J».
Allow ECF from MP1
Award [2] marks for a bald correct answer.