Two planets in circular orbits around a star have speeds of v and 2v. (a) What is the ratio of the orbital radii of the planets? (b) What is the ratio of their periods?

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Q: There are two spaceships that orbit the Earth. If the orbital radius ratio of the two spaceships is…

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Q: Consider a moon orbiting planet A in a radius R with a given period T. If the planet has a mass of…

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Q: A space station in a science fiction novel consist of a circular tube that will rotate about its…

A: Artificial gravity can achieved by this method for this we need ultra high source of power.…

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Q: An experiment is performed in deep space with two uniform spheres, one with mass 25.0 kg and the…

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Q: An astronaut circling the earth at an altitude of 400 km is horrified to discover that a cloud of…

A: The astronaut is in an orbit above the earth's surface at a height of 400 km.  Since the astronaut…

Q: Two identical planets orbit a star. One is four times as far from the star as the other. The more…

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Q: Two planets in circular orbits around a star have speeds of v and 2v. (a) What is the ratio of the…

A: Let the mass of star = M The orbital velocity of first planet (v1) = v The orbital velocity of…

Q: If the distance between two particles is halved, the gravitational force increases by

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Q: A 20 kg satellite has a circular orbit with a period of 2.4 hand a radius of 8.0 * 10^6 m around a…

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Q: Answer without rounding off: (COLLAB Gauss's Law for Mass) Journey through the Center of the Earth.…

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Q: Two satellites are in circular orbits around a planet that has radius 9.00 x 106 m. One satellite…

A: Given : Mass of first satellite (m1) = 68 kg Orbital radius of first satellite (r1) = 5.00 x 107 m…

Q: At what height h above the earth will a satellite moving in a circular orbit half the period of the…

A: Given, Mass of the earth M = 5.97*1024 Kg Time Period of earth rotation T = 24 hrs

Q: Suppose an astronaut landed on a planet where g = 19.6 m>s2. Compared to earth, would it be…

A: The weight of the person compared on the planet compared with the earth is, WPWE=gPgE=19.6 m/s29.8…

Q: At the Earth's surface a projectile is launched straight up at a speed of 10.0 km/s. To what height…

A: Launch speed (u) = 10000 msRadius of earth (R) = 6370000 m Mass of earth (M) = 6×1024 kg Let the…

Q: Three stars, each with the mass of our sun, form an equilateral triangle with sides 1.0×1012m long.…

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Q: Would the force from the earth increase or decrease if the mass was kept constant but the radius of…

A: we know gravitational force of earth is 9.8 m/s2  g=GMR2= 9.8 m/s2     here , G= 6.67 *10-11 N m2…

Q: A particle circulating an orbit with radius 0.7m with constant speed. If the particle takes 11s to…

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Q: Satellites A and B are in circular orbits, with A twice as far from Earth's center as B. How do…

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Q: What radius must the sphere have so that the acceleration due to gravity at the Earth's new surface…

A: We know acceleration due to gravity at the surface of a plane is  g = (GM/R2 ) 1/2 . where M = mass…

Q: Two satellites, X and Y, are in circular orbits about the Earth. X is eight times as far from the…

A: Let ax and ay are the distance of x and y from earth’s center respectively.

Q: You find yourself stranded on Phobos, a moon of Mars, has a radius of 11.1 x 10' m and a mass of…

A: We need to calculate at what speed should the ball be released in order to put it in an orbit of…

Q: If the satellite actually experienced a force of 2500 N, how far would it be from the center of…

A: The satellite experience gravitational force due to the earth.

Q: A certain satellite travels in an approximately circular orbit of radius 1.0 × 106 m with a period…

A: Given data The radius is given as R = 1 x 106 m. The time period is given as T = 7 h 31 min.

Q: A satellite is in a circular orbit of diameter 90029 km about the Earth, which had a mass of…

A: Given, Mass of earth  M = 6.2 x 1024 kg Radius of earth  R = 6.4 x 106 m distance to the satellite…

Q: A moon travels around an unknown planet. If the period of the orbit is 1 day, and the radius of the…

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Q: A satellite encircles Mars at a distance above its surface equal to 3 times the radius of Mars. If…

A: Given: acceleration due to gravity on the surface of Mars is gm. Height, h = 3 R  where, R is the…

Q: The Seperation distance between two 1 kg. masses is (a) decreased by 2/3 (b) increased by a factor…

A: Gravitational force F =G m1 m2 /r2

Q: How long would a day be if the Earth were rotating so fast that objects at the equator were…

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Q: A rocket is launched straight up from the earth's surface at a speed of 1.90×10^4 m/s. What is its…

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Q: With what gravitational force does the sun attract the earth? 30 The mass of the sun is 1.99x10 kg…

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Q: Does the linear velocity of a planet remain constant in orbit?

A: Step 1:Planets ( the ones in the solar system) revolve around the sun in elliptical orbits with the…

Q: You wish to put a 2500 kg satellite into a circular orbit 450 km above the earth’s surface.  What…

A: Given Data Mass of the satellite is m=2500 kg Height of the orbit above the surface of the Earth is…

Q: If the Earth shrank to one-half its present radius, but kept its mass constant, what effect would…

A: Acceleration due to gravity on earths surface, g0=GMR2

Q: Two satellitess, and S, orbit around a planet P in circular orbits of radil r, - 5.15 x 106 m, and…

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Q: A rock far outside a solar system similar to ours is initially moving very slowly relative to its…

A: Given that:Initial speed, u= 0 (moving very slowly relative to sun)Mass of sun, MS=3.2×1030 kgMass…

Q: What is the speed of an artificial satellite orbiting at an altitude of 1500 km above the surface of…

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Q: A spacecraft orbiting the Earth has the following vectors:   R=7016i + 5740j + 638k  V=0.24i -…

A: Given , initial height is 638 km or 638000m which is the z component of the R vector. New height is…

Q: When a satellite coasts in a circular orbit at constant speed about Earth, is it accelerating? If…

A: When a satellite coasts in a circular orbit at a constant speed, the magnitude of its velocity…

Q: The mass of the earth is 5.98 x 1024 kg. A satellite of mass 525 kg circles the earth at a distance…

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Q: By what factor will the acceleration due to gravity change if the mass of a planet is double and the…

A: The size of the new planet is double of the original planet. Thus, The formula for the acceleration…

Q: Two satellites are in circular orbits around a planet that has radius 9.00 * 106 m. One satellite…

A: Given: The radius of the planet=9.00×106 m The first satellite has mass ms1=68 kg and radius…

Q: A planet with mass 10 x 1024 kg orbits a sun with a period of 1 Earth's years. The speed of the…

A: Given  mass of planet(mp)=1025 kg time period(T)=1 earth’s year =31536000 seconds velocity of…

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.