. ,, -mc t... mum. Lumpare me Apparent Weight or a person at the Earth's pole and the Earth's equator. Planet Design A student has been playing an educational computer game in which you can design your own planet and decide on aspects such as planet mass, length of day, chemical composition of atmosphere etc... and then see the effect that would have on the habitability of that planet. For his planet, 'planet X', he has chosen a planet radius of 124,500km, a length of day 4 hours and a gravitational field strength 19.5 ng'l. a) The student has a mass of 65kg. Calculate his weight on planet X. Calculate the centripetal force that would be re planet's surface. quired to keep him in circular motion at the equator on the c) If he had landed at the equator, would he have been abl e to stay on this planet's surface and remain in circ motion? Explain your answer. d) Due to the presence of the Earth's Moon, the Earth's day is currently lengthening by about 2ms for every years. if the student had given planet X a moon, and planet X's day were lengthening by a similar rate to calculate how long would it be before an astronaut could land on the equator on planet X. e) The 'apparent weight' a person experiences on a surface is due to the normal force from the surface. Fr time the student designed the planet, calculate how long it would take before their 'apparent weight' 0 X's equator would be the same as the weight they would experience on Earth. Answers: 1268N, 1541N, 73.8 million years, 406.1 million years