Saturn's mass is M= 5.69 x 1026 kg and its radius R-60,300 km. If a moon orbits Saturn at a distance equal to 5 times its planetary radius, what is its period of orbit? (Hint, use Newton's version of Kepler's 3rd law, and you can neglect the mass of the moon) Express your answer in days to three significant figures.
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- The radius of the Earth's orbit is 1.50 1011 m and that of Mars is 2.28 1011 m. The star that this planet orbits is identical to our Sun. What is the orbital period of this planet?Using Kepler's 3rd law, how long will it take a new planet that is 3.68 x 107 km to travel around the Earth?The moon has a mass of 7.34x10²² kg and a radius of 1.74x10⁶meters. If you have a mass of 66 kg, how strong is the force between you and the moon?
- Suppose a satellite (not the Moon) orbits Earth exactly every 30 days. Find its distance from Earth center in meter.The cubit is an ancient unit of length based on the distance between the elbow and the tip of the middle finger of the measurer. Assume that the distance ranged from 43 to 53 cm, and suppose that ancient drawings indicate that a cylindrical pillar was to have a length of 8.0 cubits and a diameter of 3.0 cubits. For the stated range, what are the lower values for (a) the cylinder's length in meters, (b) the cylinder's length in millimeters, and (c) the cylinder's volume in cubic meters? What are the upper values for (d) the cylinder's length in meters, (e) the cylinder's length in millimeters, and (f) the cylinder's volume in cubic meters?The average distance between Mars and the Sun is 1.52 AU. What is the orbital period of Mars? Provide you answer in time units of years.
- You may attempt this question 3 more times for credit. In this problem, we will directly calculate the surface gravity and your weight on another planet. In metric, your weight is measured in "Newtons", and 1 Newton = 1 kg m / s². Newton's constant G = 6.67 x 10-11 m³/(kg s²). Earth has a mass = 5.97 x 1024 kg and a radius of 6378 km. You should be able to verify that g = 9.8 m/s² on Earth using the formula for surface gravity. If your mass is 64 kg, you should also be able to verify you should weigh 626 Newtons. If you can do that you should be OK for what's next. The mass of Venus is 4.87E+24 kg, and it's radius is 6.05E+3 km. What is the surface gravity of this planet? (Watch your units!). m/s² If your mass is 64 kg, what would you weigh on Venus? Newtons. Note: Remember if your answer requires scientific notation to use the "e" notation: "1.1 x 105" is "1.1e5" to OWL.A) When one object is orbiting a much larger object, the period of the orbit (T) is related to the semi‐major axis (r) by the general form of Kepler’s 3rd Law. Write this general form in the space below: B) What units must the period be in if we want to calculate the semi-major radius in meters? Note that G = 6.67 x 10-11 N m2/kg2. Complete problems using Kepler’s 3rd law as you wrote it down above:The cubit is an ancient unit of length based on the distance between the elbow and the tip of the middle finger of the measurer. Assume that the distance ranged from 43 to 53 cm, and suppose that ancient drawings indicate that a cylindrical pillar was to have a length of 7.0 cubits and a diameter of 1.0 cubits. For the stated range, what are the lower values for (a) the cylinder's length in meters, (b) the cylinder's length in millimeters, and (c) the cylinder's volume in cubic meters? What are the upper values for (d) the cylinder's length in meters, (e) the cylinder's length in millimeters, and (f) the cylinder's volume in cubic meters? (a) Number i Units (b) Number i Units (c) Number i Units (d) Number Units (e) Number i Units (f) Number i Units
- 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.(to two decimal places): (what is ‘h’?) Eccentricity of earth orbit is 0.0167 µ(sun) = 1.32712E+11 km^3/s^ semimajor axis of Earth orbit = 1.49598E+08 need to figure out what ‘h’ is. a) Calculate the speed of the earth around the sun at aphelion? (29.29 KM/S) b) At perihelion? (30.29 KM/S)An asteroid is orbiting the sun in a stable orbit with a period (its “year”) of 860.623 days (Earth-days). What is the ratio of the asteroids distance from the sun to the Earth's distance from the sun? Answer is 1.8. Please show steps.