The spectrum of a sun-like star is observed and a spectral absorption feature at wavelength \ = 650 nm is found to vary sinusoidally in wavelength with an amplitude Al = ±1 × 10-4 nm and a period of 4 days. Assuming that this variation is due to the presence of an unseen orbiting planet, obtain an estimate for the 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.
Q: Determine the height habove the surface of a planet of radius R and mass M at which the…
A: The gravitational field will be 60% on its surface, gh=g×60100=35g Then, weight of a mass on the…
Q: velocity of the proton in units of km/s
A: Given: Mass of proton is m=1.673×10-27 kg Charge on proton is q=1.6×10-19 C Radius of path is r=4.46…
Q: The Earth has mass ME and average radius RE. The Moon has mass MM and the average distance from the…
A: Given Mass of the earth ME = 5.97×1024 kg Mass of the moon MM = 7.35×1022 kg The…
Q: Old hw, trying to review for exam, please show all steps
A:
Q: he free-fall acceleration on the surface of Mercury is about three eighths that on the surface of…
A:
Q: A thick spherical shell occupies the region between two spheres of radii a and 2a, both centred on…
A: We will first write relations connecting cartesian and spherical coordinates. Using these, we…
Q: It is believed that there is a black hole with a mass of approximately four million times the mass…
A:
Q: a) A 95 kg astronaut stands on the surface of a spherical asteroid with a mass of 4.5 x 1015 kg and…
A: Please see the answer below.
Q: You have been assigned to a team charged with developing a plan to explore a new planetary body…
A: Given g=2.8 m/s2 specific gravity of oil=0.93 weight of oil=4 lbf
Q: Part B How much would a 70-kg person weigh on this star? Express your answer using two significant…
A:
Q: Consider Kepler's equation regarding planetary orbits, given as M = E e sin(E), where M is the mean…
A:
Q: A crew capsule is returning from the ISS, whose orbit is circular with radius Re + 400 km. Prior to…
A: The capsule is coming to the smaller parking orbit from the ISS orbit. Hence, the energy of the…
Q: Problem 10: You are a scientist exploring a mysterious planet. You have performed measurements and…
A: The needed centripetal force(Fc) by planet is assisted by the gravitational force between planet and…
Q: Around 2.5 centuries ago, several physicists of the time came up with the notion of a dark star.…
A: Escape velocity is the minimum velocity required for an object to escape from the gravitational…
Q: What is approximately the gravitational force of the sun on the planet mars? (RMs= 2.28 × 10ºkm, M,…
A: Given data: Distance between Sun and Mars (RMS) = 2.28×108 km Mass of Sun (Ms) = 1.99×1030 kg Mass…
Q: A star is observed to undergo circular orbit around the black hole located at the centre of the…
A: We have a star which is undergoing a circular orbit of radius R=1000 AU=1.469*1014m with a time…
Q: we added a 30 mg (that's 30 x 10-6 kg) mass to the upper wire and the laser spot on the scale…
A: Force of gravity acts on all objects, pointing vertically downwards. This force of gravity does a…
Q: In the Discussion question for Lesson 12, Makeshift Scale, we considered creative ways to estimate…
A:
Q: Astronomical observations of our Milky Way galaxy indicate that it has a mass of about 8.0 • 1011…
A: Given: M= 8 x 1011 solar mass r=6 x 104 light years T= 6 x 107 years
Q: Question 2: Suppose that a planet has a radius R and its density can be described as y(r) = R+ry (0…
A: The density is given by γ(r)=R+r2rγ0 The infinitesimal dm mass is given by dm=γ(r)dV If we choose…
Q: hypothetical planet has a mass 2.68 times that of Earth, but the same radius. What is g near its…
A: The acceleration due to gravity on the surface of a planet of mass M and radius R is given g =…
Q: The mean diameters.of planets A and B are 9.3 × 10° km and 1.6 × 10ª km, respectively. The ratio of…
A: diameter of planet A (d) = 9300 km diameter of planet B (d') = 16000 km mass of planet A (m)mass of…
Q: A planet has a mass of M1, a radius of R1, and a density of ρ1. A second planet has a mass of M2, a…
A:
Q: Suppose a planet is discovered that has the same amount of mass in a given volume as the Earth, but…
A: Suppose a planet is discovered that has the same amount of mass in a given volume as the Earth, but…
Q: Three identical very dense masses of 5300 kg each are placed on the x axis. One mass is at ₁ = -130…
A:
Q: Sally and Sam are in a spaceship that comes to within 10,000 km of the asteroid Ceres. Determine the…
A: The expression to calculate the gravitational force is F=Gm1m2r2 Substitute F=6.67×10-11…
Q: For the following hypothetical changes in astronomical bodies answer whether the change would make…
A: A)Time period of earth’s orbit depends only on the mass of earth and is independent on mass of the…
Q: Calculate the magnitude of the gravitational attråct between the particle and Neptune to three…
A: Gravitational force between two masses F = Gm₁m₂/r²
Q: Find the average and
A: from the given conditions we find average deviation-
Q: According to Lunar Laser Ranging experiment the average distance LM from the Earth to the Moon is…
A:
Q: planet with a period of T. The spaceship enters a geosynchronous orbit at a distance of R. R M Part…
A: Given:- T=34 hours The spaceship enters a geosynchronous orbit at a distance of R = 3.9 X 108 m…
Q: Part C Show that the force of gravity times the height, mgh, is equal to mv?. Be sure to show that…
A:
Q: Four masses 2.8 kg each, are positioned at the corners of an square with side 2.8 m. Determine the x…
A: The gravitational force acting between the two masses M and m is calculated by using the formula…
Q: he earth’s mass is 5.972x1024 kgs and the earth’s radius is 6371 kms, determine the altitude of a…
A: Given: M=5.972*1024 kgR=6371 km = 6.371*106 mgh=9.7 m/s2
Q: Write down an expression for the gravitational filed strength of a planet of radius R and density ρ.
A: GRAVITATIONAL FIELD STRENGTH It is measure of gravitational force placed on an object…
Step by step
Solved in 5 steps with 7 images
- My Print Center The mass of a sun is 3.36 x 1030 kg. The radius of the circular orbit of a planet around this sun is 9.7 x 1011 m. Determine the length of one year on this planet. Express the result in earth days where 1 day = 24 x 3600 seconds. Recall: G = 6.67E-11 N m²/kg² In submitting this result, I attest that I have not given nor received any assistance in violation of the UTC Honor Code Pledge. Q Search No new data to save. Last checked at 9:32pm Submit QuizASK YOUR TEACHER PRACTICE ANOTHER Since neutron stars consist totally of neutrons, they are extremely massive and have a density that is hard to imagine. A typical radius and mass for a neutron star are 1.65 x 10 m and 2.50 x 1028 kg respectively. (a) Determine the density of a neutron star. kg/m (b) Determine the weight (in pounds) of a penny (V = 360 mm-) if it were made from this material. (Assume 1 lb = 4.448 N.) Ib Additional MaterialsIn the year 25 000 the Earth is 1.42x101 m away from the sun and in a circular orbit, but a year remains 365 days long. Part A Calculate the mass of the sun in the year 25 000. ΑΣΦ ? msun = kg
- For a 100 kg satellite orbiting Earth in a circular orbit of radius 6500 km, determine the following: Part A its kinetic energy, K Enter your answer in scientific notation in the following format: The coefficient, followed by the capital letter E, followed by the exponent. For example, if your answer is 5.0\times10^8 \space J5.0×108 J, enter 5.0E8 J Part B its potential energy, U (U = 0 at infinity) Enter your answer in scientific notation in the following format: The coefficient, followed by the capital letter E, followed by the exponent. For example, if your answer is 5.0\times10^8 \space J5.0×108 J, enter 5.0E8 JYou have a super high-tech spacecraft travelling through space that gets caught in a circular orbit around a mysterious object of mass 10 times that of the Sun and a radius of 30km. Your team decides to observe the behavior of this object but due to the heat that it's giving off, it is required that your satellite obtain a circular orbit of at least r = 5.3e5km to be considered 'safe'. You are currently in a circular orbit with r = 4.1e5km. What is the minimum delta-v required to reach the safe orbitAround 2.5 centuries ago, several physicists of the time came up with the notion of a dark star. This was a star so dense, with so much gravity, that not even light could escape. The calculations used Newtonian mechanics. In class, we calculated the escape speed from the surface of the earth or the distance from the sun, and the mass of the planet or star. Here, the process is partially reversed. Calculate the dark star radius from the mass of the star and the escape speed. Answer in kilometers. c = 3*108 m/s M = 2.4*1030 kg G = 2/3 * 10-10 N*m2/kg2
- The free-fall acceleration on the surface of a fictional planet is about 1/2 that on the surface of the Earth.. The radius of the planet is about 0.71RE (where we use the symbol RE = Earth's radius). Find the ratio of their average densities, pp/Pɛ. Please feel free to look up the earth"s radius in the table in your text-book.Help with physics reviewTidal forces are gravitational forces exerted on different parts of a object by a second object. Their effects are particularly visible on Earth's surface in the form of tides. To understand the origin of tidal forces, consider Earth-Moon system to consist of two spherical bodies, each with a spherical mass distribution. Let RE be the radius of Earth, m be the mass of the Moon, and G be the gravitational constant. Part B Since the gravitational force between two bodies decreses with distance, the accelaeration a(near) experienced by a unit mass located at the point on the earth's surface closest to moon is slightly different from the acceleration a(far) experienced by a unit mass located at the point on the earth`s surface farthest from the moon. Give a general expresion for the quantity a(near)- a(far).
- Answer the question in full and detailed solutions, along with formulas used and therefore statementAround 2.5 centuries ago, several physicists of the time came up with the notion of a dark star. This was a star so dense, with so much gravity, that not even light could escape. The calculations used Newtonian mechanics. In class, we calculated the escape speed from the surface of the earth or the distance from the sun, and the mass of the planet or star. Here, the process is partially reversed. Calculate the dark star radius from the mass of the star and the escape speed. Answer in kilometers. c = 3*108 m/s M = 3.2*1030 kg G = 2/3 * 10-10 N*m2/kg2Determine the ratio of Earth's gravitational force exerted on an 80-kg person when at Earth's surface and when 1100 km above Earth's surface. The radius of Earth is 6370 km. FE on P,surface FE on Ph 195] ΑΣΦ ?