Determine the orbital period for the satellite.

Mass of Earth = 6.0 x 10²⁴ kg

Determine the mean temperature of the Earth.

Suggest how the difference between λ_S and λ_E helps to account for the greenhouse effect.

Not all scientists agree that global warming is caused by the activities of man.

Outline how scientists try to ensure agreement on a scientific issue.

\(\frac{{m{v^2}}}{r} = G\frac{{Mm}}{{{r^2}}}\)

leading to T² = \(\frac{{4{\pi ^2}{r^3}}}{{GM}}\)

T = 5320 «s»

Alternative 2

«\(v = \sqrt {\frac{{G{M_E}}}{r}} \)» = \(\sqrt {\frac{{6.67 \times {{10}^{ - 11}} \times 6.0 \times {{10}^{24}}}}{{6600 \times {{10}^3}}}} \) or 7800 «ms^–1»

distance = 2\(\pi \)r = 2\(\pi \) x 6600 x 10³ «m» or 4.15 x 10⁷ «m»

«T = \(\frac{d}{v} = \frac{{4.15 \times {{10}^7}}}{{7800}}\)» = 5300 «s»

Accept use of ω instead of v

T = «\(\frac{{2.90 \times {{10}^{ - 3}}}}{{{\lambda _{{\text{max}}}}}} = \)» \(\frac{{2.90 \times {{10}^{ - 3}}}}{{10.1 \times {{10}^{ - 6}}}}\)

= 287 «K» or 14 «°C»

Award [0] for any use of wavelength from Sun

Do not accept 287 °C

wavelength of radiation from the Sun is shorter than that emitted from Earth «and is not absorbed by the atmosphere»

infrared radiation emitted from Earth is absorbed by greenhouse gases in the atmosphere

this radiation is re-emitted in all directions «including back to Earth»

peer review

international collaboration

full details of experiments published so that experiments can repeated

[Max 1 Mark]