Find the distance that the earth travels in seven days in its path around the sun. Assume that a year has 365 days and that the path of the earth around the sun is a circle of radius 93 million miles. [Note: The path of the earth around the sun is actually an ellipse with the sun at one focus (see Section 11.2). This ellipse, however, has very small eccentricity, so it is nearly circular.] (Round your answer to one decimal

Q: The Halley’s Comet regularly passes by the earth on its tour around the sun (at the time of Jesus’…

A: Given: The semi-major axis of the elliptical path is a=17.8AU. Halley’s last visit at our earth was…

Q: The planet Mars is orbited by two small moons, Phobos and Deimos. Both moons have circular orbits.…

A: We have two moons with radius of orbits a1=9377 km and a2=23460 km with time period of orbit…

Q: A planet is about 7.79 x 108 km (orbital radius) from the sun. It takes 1,425 days for the planet to…

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Q: Which unit of measurement is larger?

A: 1 rad = 57.3 degree. So for 1 rad we required 57.3 degree.  So 1 degree = (1/57.3) < 1 rad

Q: Write down an expression for the gravitational filed strength of a planet of radius R and density ρ.…

A: Solution: We know that: Gravitational field strength = gravitational force on a unit mass

Q: What is the mass of the sun if the radius is 7.6*10^8 and the gravitational acceleration is 261?…

A: Apply g = GM/r2

Q: If G = 6.674 ⨉ 10 −11m3/kg/s 2and M Earth= 5.972 ⨉ 10 24kg and the sidereal period of the Earth is…

A: Given : Mass of Earth: 5.972×1024 kg G=6.674×10-11 m3/kg/s Period T=27.32 days

Q: The orbital period of the moon is 27.3 d, the average center-to-center distance center distance…

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Q: Two planets X and Y travel counterclockwise in circular orbits about a star, as seen in the figure.…

A:

Q: A surveying satellite is moving around a planet in a circular motion (approximately).  If the…

A:

Q: A satellite placed in a circular orbit at a radius of 1.5 earth radii (z ~ 3,185 km) has an orbital…

A: Given that: Radius of orbit: r=1.5Re=1.5×6370×106 mSatellite must be atleast 15° above horizontal to…

Q: On the surface of the Moon an astronaut has a weight of Fg = 190 N. The radius of the Moon is Rm =…

A:

Q: A satellite placed in a circular orbit at a radius of 1.5 earth radii (z ~ 3,185 km) has an orbital…

A: Given that: Radius of orbit: r=1.5Re=1.5×6370×106 mSatellite must be atleast 15° above horizontal to…

Q: I was able to determine the semi-major axis of Jupiter's moons by multiplying the angle of…

A: In this problem, it is asking why we multiply by only the angle rather than sin(angle)) during…

Q: A comet (see the figure below) approaches the Sun to within 0.570 AU, and its orbital period is 79.6…

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Q: Calculate the altitude needed for a circular, geosynchronous orbit (an orbit whose orbital period…

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Q: As an aspiring science fiction author, you are writing about a space-faring race and their home…

A:

Q: An astronaut standing on Pluto drops a hammer from a height of 2.00 m and measures that it takes…

A: Given data:  Initial velocity (u) = 0 m/s Height (h) = 2.00 m Time (t) = 2.54 s Radius (R) = 1190 km…

Q: A spacecraft in a geosynchronous orbit is given a tangential velocity increment ("delta-V") of 2.0…

A:

Q: Jupiter's third-largest natural satellite, Io, follows an orbit with a semimajor axis of 422,000 km…

A: Semi major axis of Io's orbit, a = 4.22 x 105 km Orbital period of Io's orbit, P = 1.77 earth days 1…

Q: The largest and shortest distance of earth from the sun arer, and r. Its distance from the sun when…

A:

Q: The star Rho1 Cancri is 57 light-years from the earth and has a mass 0.85 times that of our sun. A…

A: Given: Here, the given value are, The star Rho1 Cancri is 57 light-years from the earth and has a…

Q: 365.26 d and P = 686.97 d, The orbital period of the Earth and Mars are PO respectively. Assuming…

A: Since you have asked multiple questions, only the first question and its sub parts are answered…

Q: 49. Physical Science Because of the forces caused by its rotation, Earth is an oblate ellipsoid…

A: Given: The radius of the equatorial of the earth is, a=6378 km. The radius of the polar of the…

Q: The earth's radius is 6.37×106m6.37×106m; it rotates once every 24 hours. What is the speed of a…

A: Given: The earth's radius R = 6.37×106 m Time period, T= 24 hours   To determine: The speed of a…

Q: Astronomical observations of our milky way galaxy indicate that it has a mass of about 8x1011 solar…

A: 1 solar mass = 1.989e+30 kg 1 Light year = 9.461e+15 m Given, mass of milky way is M = 8x1011 solar…

Q: Two exoplanets, UCF1.01 and UCF1.02 are found revolving around the same star. The period of planet…

A: Given Time period of UCF1.01 is T1=4.8 days And Time period of UCF1.02 is T2=5.2 days Average…

Q: We found the centripetal acceleration of the Earth as it revolves around the Sun. Compute the…

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Q: to two decimal places): (what is ‘h’?)​Eccentricity of earth orbit is 0.0167​µ(sun) = 1.32712E+11…

A: a) To calculate the speed of the Earth around the sun at aphelion, we need to use the equation for…

Q: Vector A = in spherical coordinate system at P(12, 12, 8).   What is the magnitude of vector A in…

A: To determine the magnitude of vector A in the "rho" direction in cylindrical coordinate system at P,…

Q: The orbit of a 1.9 x 1040 kg comet around the Sun is elliptical, with an aphelion distance of 25.0…

A:

Q: A planet of mass m= 8.45 x 1024 kg is orbiting in a circular path a star of mass M= 6.95 x 1029 kg.…

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Q: Suppose a 5.3×1010 kg meteorite struck the Earth at the equator with a speed 2.6×104 m/s, as shown…

A: Given data:Mass of the meteorite is .Speed of the meteorite is .The angular momentum of the system…

Q: The Earth is shown with the equator marked. Another circle is marked that corresponds to a latitude…

A: Consider the radius of the earth, Re the time period of the rotation of the rotation of the earth, T…

Q: A Mars observing satellite is orbiting on a circular orbit at an altitude of 1000 km above Mars’s…

A: Given all circular motion are counter-clockwise. Since the satellite is orbiting in a circular…

Q: The quantities v, K, U, and L all represent physical quantities characterizing the orbit that depend…

A: When satellite orbits around a planet centripetal force to satellite is provided by the…

Q: Taking the age of Earth to be about 4 ✕ 109 years and assuming its orbital radius of 1.5 ✕ 1011 m…

A:

Q: The solar system has a planet with an orbital period T1b=1.51d and an orbital radius of…

A: According to Kepler's first law , every planet revolves around sun in an elliptical orbit with sun…

Central Force

Central force is the force that acts along the center of mass of one body to the center of mass of another body. Its direction from or away from a point on a body to another is called the center of the force. Such forces include gravitational force between two massive objects or electrostatic forces between two charged particles. So from atoms to planets, the central forces play an important role in shaping our daily lives. One of the remarkable features of central forces is that they are conservative, i.e. the total energy of a central force system can always be expressed as a gradient of a potential energy function.