What is the time taken by a planet to sweep an area of 2 million square km if the time taken by the same planet to cover an area of 1 million square km is 36 hours? 18 hours 36 hours 72 hours 144 hours.
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- On planet Q, g = 2.24 m/s^2, If the mass of planet Q is 8.96 x 10^21kg, what is the radius of planet Q. G = 6.67 x 10^-11N-(m/kg)^2The day on Mars is 1.026 Earth-days long. The martian year lasts 686.98 Earth-days. The two moons of Mars take 0.32 Earth-day (for Phobos) and 1.26 Earth-days (for Deimos) to circle the planet. You are given the task of coming up with a martian calendar for a new Mars colony. Would a solar or lunar calendar be better for tracking the seasons?A scientist has evidence that a newly discovered planet has a mass of 7.0\times 10^(24) kilograms and a volume of 3.5\times 10^(12) cubic kilometers. What is the planet's density?
- Thinking about the Scale of the Solar System As we discussed, the radius of the Earth is approximately 6370 km. The Sun, on the other hand, is approximately 700,000 km in radius and located, on average, one astronomical unit (1 au=1.5x108 km) from the Earth. Imagine that you stand near Mansueto Library, at the corner of 57th and Ellis. You hold a standard desk globe, which has a diameter of 12 inches, and you want to build a model of the Sun, Earth, and their separation that keeps all sizes and lengths in proportion to one another. a) How big would the Sun be in this scale model? Give your answer in feet and meters. b) The nearest star to the Solar System outside of the Sun is Proxima Centauri, which is approximately 4.2 light years away (a light year is the distance light travels in one year, or approximately 9.5x1012 km). Given the scale model outlined above, how far would a model Proxima Centauri be placed from you? Give your answer in miles and km.Calculate how many seconds there are in 1.0 Mars year (678 Earth days). Report your answer in scientific notation with the correct number of significant digits.how many seconds are in a mars year that has approx 678 earth days ?
- The table below lists the average distance R to the Sun and orbital period T of the first planets: Distance Orbital Period Mercury 0.39 AU 88 days Venus 0.72 AU 225 days Earth 1.00 AU 365 days Mars 1.52 AU 687 days (a) Calculate the average distance of Mercury, Venus and Mars to the Earth. Which one of these planets is the closest to Earth on average? (b) Calculate the average distance of Mercury, Venus and Earth to Mars. Which one of these planets is the closest to Mars on average? (c) What do you expect for the other planets? Hint: Assume circular orbits and use symmetries to make the distance calculation easier. You can approximate the average distance by using four well-chosen points on the planet's orbit.The mean distance between the Sun and Mercury is 57,910,000 km and between the Earth and the Sun is 149,600,000 km. If the respective masses of Mercury and Earth are 3,303 x 10^(23) kg and 5,976 x 10^(24) kg, determine the force of attraction between the sun and each of these planets and the force of attraction between them. The mass of the Sun is 1,989 x 10^(30) kg.You land on a strange spherical planet X. As a curious physicist, you set out to make the following measurements: (1) you observe that planet X has no appreciable atmosphere, (2) you measure that if you throw a 0.25 kg stone vertically upwards with launch speed 10 m/s, it comes back to ground in 8 sec, and (3) you measure the equatorial circumference to be 250,000 km. What is the mass of planet X? [Hint: The value of g on the planet surface is related to its mass M and radius R by the formula g = GM/R2.] a) 9*1025 kg b) 2.3*1027 kg c) 6.9*1026 kg If you take your spaceship to a 10,000 km altitude circular orbit around planet X, what would be the orbital period of the spaceship? [Hint: Use the fact that the gravitational force causes the radial acceleration to calculate the orbital speed.] a) 4.89 hrs b) 9.78 hrs c) 19.56 hrs
- Two exoplanets, UCF1.01 and UCF1.02 are found revolving around the same star. The period of planet UCF1.01 is 4.8 days, and that of planet UCF1.02 is 5.2 days. If the average distance of planet A to the sun is 2,885.4 km, what is the average distance of planet B to the sun km? Please keep four digits after decimal points.The mass of earth is approximately 6.98 x 10 kilograms. The mass of Venus is approximately 4,870, 000, 000, 000, 000, 000, 000, 000, kilograms. What is the difference between the approximate masses in kilograms of earth and Venus? Express your answer in scientific notationThe Msbar Alamal on its journey to Mars took a 7-month period, during which it traveled an estimated distance of 493 million kilometers. What was the distance covered during a 7-day period?
