The spectrum of a sun-like star is observed and a spectral absorption feature at wavelength X = 590 nm is found to vary sinusoidally in wavelength with an amplitude A = ±1 x 10-4 nm and a period of 3 days. Assuming that this variation is due to the presence of an unseen orbiting planet, obtain an estimate for the minimum mass of the planet and express your answer in units of the Earth's mass. State clearly any approximations or assumptions that are made when obtaining the estimate.
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- Please solvea) Find the surface gravity and escape velocity of a planet with a mass of (6.7× 1023 kg) and a radius of (2.9 × 106 m).b) What is the local acceleration due to gravity of a planet on which a pendulum of length (0.4 m) undergoes (5 oscillations) in (13 s)?c) If the planet from part (b) has a radius of (R = 5 × 106 m), what is the mass of the planet?The mean diameters of planets A and B are 9.3 × 103 km and 1.8 × 104 km, respectively. The ratio of the mass of planet A to that of planet B is 0.88. (a) What is the ratio of the mean density of A to that of B? (b) What is the ratio of the gravitational acceleration on A to that on B? (c) What is the ratio of escape speed on A to that on B?
- Tidal forces are gravitational forces exerted on different parts of a body by a second body. Their effects are particularly visible on the earth's surface in the form of tides. To understand the origin of tidal forces, consider the earth-moon system to consist of two spherical bodies, each with a spherical mass distribution. Let r. be the radius of the earth, m be the mass of the moon, and G be the gravitational constant. Part B Since the gravitational force between two bodies decreases with distance, the acceleration anear experienced by a unit mass located at the point on the earth's surface closest to the moon is slightly different from the acceleration afar experienced by a unit mass located at the point on the earth's surface farthest from the moon. Give a general expression for the quantity anear-afar Express your answer in terms of G, m, r, and re. ▸ View Available Hint(s) anear afar = ΜΕ ΑΣΦ ? x Xb √√x √x X [X] X.10" Variables are case sensitive. No credit lost. Try again.Asap plzzzzPart A The value of Gmdre", where me is the mass of the earth, r, is the radius of the earth, and G is the universal gravitational constant is (enter your answer with three significant figures) ΑΣΦ IXI X•10n -11 6.67 101 m/? Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining
- Please explain thoroughly:An astronaut arrives at a new planet, and gets out his simple device to determine the gravitational acceleration there. Prior to this arrival, he noted that the radius of the planet was 6500 km. If his 0.700- m-long pendulum has a period of 1.20 s, what is the mass of the planet? a) Provide a diagram with appropriate labels. b) Calculate the gravitational field value at the surface (g) c) Using your answer to (a) and the radius of the planet, calculate the mass of the planetMY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A a giant planet with a small moon of has an orbital period of 1.42 days and an orbital radius of 5.52 x 105 km. From this information, determine the mass of the planet. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. kg