The exoplanetary system TRAPPIST-1 contains seven Earth-sized planets orbiting a red dwarf star. Consider two of these planets, TRAPPIST-1d and TRAPPIST-1g. TRAPPIST-1d has an orbital period of 27.0 days27.0\text{ days}27.0 days and an average orbital distance of 0.18 AU0.18\text{ AU}0.18 AU from the centre of the host star. TRAPPIST-1g has an orbital period of 125.0 days125.0\text{ days}125.0 days. Assuming Kepler's third law of planetary motion applies, what is the average orbital distance of TRAPPIST-1g from the centre of the star?
0.065 AU0.065\text{ AU}0.065 AU
0.83 AU0.83\text{ AU}0.83 AU
1.8 AU1.8\text{ AU}1.8 AU
0.50 AU0.50\text{ AU}0.50 AU
31 exam-style questions on OCR A A Level Physics Gravitational fields, covering Point and spherical masses, Newton's law of gravitation, Planetary motion, and Gravitational potential and energy. Each one has a worked solution and a mark scheme showing where the marks go.