| Date | May 2016 | Marks available | 1 | Reference code | 16M.2.SL.TZ0.2 |
| Level | Standard level | Paper | Paper 2 | Time zone | Time zone 0 |
| Command term | Show that | Question number | 2 | Adapted from | N/A |
Question
The two arrows in the diagram show the gravitational field strength vectors at the position of a planet due to each of two stars of equal mass M.
Each star has mass M=2.0×1030kg. The planet is at a distance of 6.0×1011m from each star.
Show that the gravitational field strength at the position of the planet due to one of the stars is g=3.7×10–4Nkg–1.
[1]
a.
Calculate the magnitude of the resultant gravitational field strength at the position of the planet.
[2]
b.
Markscheme
\(g = \frac{{GM}}{{{r^2}}} = \frac{{6.67 \times {{10}^{ - 11}} \times 2.0 \times {{10}^{30}}}}{{{{\left( {6.0 \times {{10}^{11}}} \right)}^2}}}\)
OR
3.71×10-4Nkg−1
a.
«gnet = 2cos34» 2g OR gcos34 OR gsin56 OR vector addition diagram shown
«gnet =«2×3.7×10−4 ×cos34o =» 6.1×10−4 Nkg−1
b.
Examiners report
[N/A]
a.
[N/A]
b.
