Planet X rotates in the same manner as the earth, around an axis through its north and south poles, and is perfectly spherical. An astronaut who weighs 943.0 NN on the earth weighs 920.0 NN at the north pole of Planet X and only 860.0 NN at its equator. The distance from the north pole to the equator is 18,850 kmkm, measured along the surface of Planet X. How long is the day on Planet X? Express your answer in hours.   If a 45,000 kgkg satellite is placed in a circular orbit 3000 kmkm above the surface of Planet X, what will be its orbital period? Express your answer in seconds.

Use Kepler's Law, which states that the square of the time, T, required for a planet to orbit the Sun varies directly with the cube of the mean distance, a, that the planet is from the Sun.Using Earth's time of 1 year and a mean distance of 93 million miles, the equation relating T (in years) and a (in million miles) is 804375T2=a3.Use that relation equation to determine the time required for a planet with mean distance of 206 million miles to orbit the Sun. Round to 2 decimal places. years

A man weighs 160 lbs at the surface of the Earth. The radius of the Earth is 4,000 mi.  The man’s weight at a distance 4,000 mi above the Earth is 160 lbs 80 lbs 40 lbs 20 lbs

The Earth has a mass of 5.97 * 1024 kg and the Moon has a mass of 7.35 * 1022 kg. If they are separated by a distance of 3.85 * 105 km, what is the force (in N) between the Earth and the Moon? (Enter your answer in scientific notation: 1.23E12 means 1.23 * 1012)

One year on Mars is as long as 1.88 years on earth. How many seconds is a Martian year?    Please give the correct answer

Using the m, = 1.99 x 1030 kg and the mę = 5.98 x 1024 kg and the distance between them as 1.00 AU (astronomical unit), what would be the orbital period of an object orbiting the sun at a distance of 2.12 AU? (please give answer in years) Number Units

Two exoplanets, A and B are found revolving around the same star. The period of planet A is 62 days, and that of planet UCF1.02 is 54.5 days. If the average distance of planet A to the sun is 2,374.3 km, what is the average distance of planet B to the sun in km? Please keep four digits after decimal points.