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: A satellite is in an elliptical orbit with a semi major axis of 8000km and an eccentricity of 0.15.…

A: Given, Semi major axis of elliptical orbit is, a = 8000 km eccentricity of orbit is, e=0.15…

Q: The asteroid 243 Ida has a mass of about 4.0×10¹⁶ kg and an average radius of about 16 km (it's not…

A: Mass , m = 4.0 x 1016 kgRadius , R = 16 km = 16 x 103 mTo find = a) launch speed of rock .…

Q: Ex. 20 : A satellite is moving round a planet in a circular orbit with a velocity of 8 km/s, at a…

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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: If a satellite is moving around a planet of mass M in an elliptical orbit of semi major axis a. The…

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Q: Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon.…

A: The Moon's radius is, R=1.7×106 m The acceleration due to gravity on the Moon is, gm=1.33 m/s2 The…

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: A comet goes around the Sun in an elliptical orbit. At its farthest point, 440 million miles from…

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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: Jupiter's satellite Europa has oceans under its ice and may even host life. It orbits the planet on…

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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: -1 A satellite is in an elliptical orbit with a semi major axis of 8000km and an eccentricity of…

A: We know, The velocity of the satellite at perigee, vp=GM1+ea1-e       Equation 1 where, GM is the…

Q: Once again you are Sergei Korolev, chief Sovict rocket scientist, and just cannot stop developing…

A: Linear velocity,  Earth's radius,  Earth's mass,  Universal gravitational constant,

Q: Whenever two Apollo astronauts were on the surface of the Moon, a third astronaut orbited the Moon.…

A: The radius of the moon, R=1.70×106 m The acceleration due to gravity of the moon, g=1.04 m/s2 The…

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: Two ships of equal mass are 101 m apart. What is the acceleration of either ship due to the…

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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: At what height (in km) above the surface of Earth would the gravitational ?acceleration be 6.6 m/s-

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

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Q: How can a geostationary satellite above the earth operate stably ? Is it when gravity and universal…

A: Geostationary satellites are kept in orbits such that the gravitational force between the satellite…

Q: Satellite S1 is moving around Earth in a circular orbit of radius four times as large as the radius…

A: Orbital velocity of satellite will be, v=GMR

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: 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: You are watching a TV news program when they switch to some scenes taken aboard the space shuttle…

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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: Yes or No? Is it possible to have two satellites are in circular orbit around the Earth at the same…

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Q: Wonder Woman and Superman fly to an altitude of 1630 km,1630 km, carrying between them a chest full…

A: The chest is dropped from a height h=1630 km and since it is dropped the initial velocity u=0. The…

Q: Wonder Woman and Superman fly to an altitude of 1630 km, carrying between them a chest full of…

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

A: Given, Electron deficit on the orbiter droplet: qe=1.5×106  Therefore, the total charge on the…

Q: The latest Space X mission took 4 astronauts to a circular orbit around the Earth. The orbital speed…

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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.