As you pilot your spacecraft in a circular orbit about the Earth, you notice the space station you want to dock with severalmiles ahead in the same orbit. To catch up with the space station, should you fire your accelerating rockets or fire your decelerating rockets?

Q: Two earth satellites are in parallel orbits with radii 6900 km and 6901 km . One day they pass each…

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Q: How fast (in m/sec and in mph) would the ISS (International Space Station) have to travel to…

A: The ISS is moving in a fixed circular orbit. Thus, the centrifugal force must be equal to the…

Q: It is believed that there is a black hole with a mass of approximately four million times the mass…

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Q: A geostationary satellite orbits around the earth in a circular orbit of radius 36,000 km. Then, the…

A: We are aware that a geostationary satellite travels in a circular path with a 36,000 km radius…

Q: Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy.…

A: Solution:   Given Values, Orbital speed of first planet (v1)=36.8 Km/s =36.8×103 m/sOrbital speed…

Q: tellite travels with constant speed vin a circular orbit 320 km above the earth's surface. Calculate…

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Q: UI II, yet Reep it ávailable for themselves for future use when they retire and settle down. But…

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Q: Parabolic trajectories Show that the two-dimensional trajectory x(t) = uf + x, and y(t) : 2 gr2 +…

A: Given,  position vector of a projectile

Q: Imagine that a space colony living in a large vessel is in a circular orbit at a distance of 55 km…

A: distance of large vessel from center of neutron star = 55 km  = 55000 m radius of neutron star = 10…

Q: A satellite orbits the earth at a height of 6350e8 kilometers from the center of the Earth, in a…

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Q: The space shuttle releases a satellite into a circular orbit 680 km above the Earth. How fast must…

A: Total energy of the satellite in the orbit is, T.E = GMm/2r Total energy of the satellite on earth…

Q: Earth orbits our Sun counter-clockwise at average speed 29 786 m/ . Moon orbits Earth ccw at average…

A: velocity of earth around sun = 29786 m/s (counter-clockwise) distance between earth and moon (d) =…

Q: Goku's birthplace (in Dragon Ball Z universe) is planet Vegeta which has a really high surface…

A: If Goku launced himself with same initial velocity, it means kinetic energy is same for both launch.

Q: Three uniform spheres of masses m1 = 3.00 kg, m2 = 4.00 kg, and m3 = 6.50 kg are placed at the…

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Q: A 3000-kg satellite orbits the Earth in a circular orbit 11797 km above the Earth's surface (Earth…

A: Given that,Mass of satellite : m = 3000 (kg)Radius : r = 6380+11797 = 18177×103Here we need to find…

Q: The space shuttle releases a satellite into a circular orbit 535 km above the Earth. How fast must…

A: Given data: The distance of the satellite above the earth is, h =535 km The radius of the earth is,…

Q: Suppose a cylindrical habitat in space 7.90 km in diameter and 45.0 km long has been proposed. Such…

A: How fast the cylinder have to rotate to imitate the Earth's gravitational field at the walls of the…

Q: Let’s imagine that you have an idea for an experiment to fly on NASA’s “Vomit Comet.” (What’s…

A: The droplet is to move in a circular orbit of radius 14 cm or 0.14 mAs it moves in this circular…

Q: You are in an elliptical orbit around the Sun and at the aphelion point, you fire your rocket…

A: You are in an elliptical orbit around the Sun and at the aphelion point, you fire your rocket…

Q: If the legendary apple of Newton could be released from rest on the surface of a neutron star with a…

A: Write a given values of this question. M=1.6×1.99×1030kgdr=2×3.5cm=0.070mr=18km=18000m

Q: The Earth’s orbit around the Sun is slightly elliptical. At Earth's closest approach to the Sun…

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Q: An African elephant is walking along when a mini-black hole suddenly appears directly above him. The…

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Q: 2. For an earth-orbiting satellite, the orbital elements are: h = 79,000km2/s, e=0.6, Q= 50°, i =…

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Q: Imagine that you are an astronaut on a newly discovered planet. You discover information that gives…

A: Here we look into various principles that are directly or indirectly governed by the gravitational…

Q: Three uniform spheres of masses m1 = 3.00 kg, m2 = 4.00 kg, and m3 = 6.50 kg are placed at the…

A: In this question we are given that three uniform spheres of masses m1 = 3.00 kg, m2 = 4.00 kg, and…

Q: Three uniform spheres of masses m1 = 3.00 kg, m2 = 4.00 kg, and m3 = 6.50 kg are placed at the…

A: This is a concept of resultant force.

Q: Calculate the speed of a satellite moving in a stable circular orbit about the Earth at a height of…

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Q: Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy.…

A: The orbital speed of the first planet, v1=44.6 km/s=44.6×103 m/s The orbital period of the first…

Q: For an earth-orbiting satellite, the orbital elements are: h= 79,000km2/s, e= 0.6, N = 50°, i =…

A:

Q: The mass of the Hubble spacecraft is 1.11 x 10ʻkg. Determine the weight of the spacecraft at the…

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Q: When a communication satellite is placed in a geosynchronous orbit above the equator, it remains…

A: a) no, it is not possible  possible to put a satellite into an orbit so that it remains fixed above…

Q: Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy.…

A: Given value--- The orbital speeds of the planets are determined to be 35.1km/s and 53.1km/s. The…

Q: A satellite orbits Mars on a closed orbit with e=0.6 and r₁= 4500 km. Calculate the flight path…

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Q: Suppose you are in a circular orbit above the moon Rhea with a radius of 824.7 km, and you have…

A: We are given velocity of orbit. We are also given radius. We have to find the semi major axis. We…

Q: Problems: 1. A stone is thrown near the surface of a planet and its horizontal and vertical position…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: In the blockbuster hit Gravity, Sandra Bullock and George Clooney are in a shuttle that is going…

A: Given:-                    In the blockbuster hit Gravity, Sandra Bullock and George Clooney are in…

Q: 19

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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.