A rotating space station consisting of a ring of radius 40m provides the same gravity as earth. What is the kinetic energy of a stationary 10kg object on the space station express answers in joules

Q: Explain why a centripetal force does not do work on a circularly moving object.

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Q: A satellite of mass 20000 Kg orbits the earth along a path of long 3 x 108 m calculate: a) The…

A: Given- Mass of satellite, ms = 20000 kg = 2 ×104 kg Length of path l = 3 x 108 m Gravitational…

Q: Eire is tied to a rope that is tied to the branch of a tree so that the tire swings in a circular…

A: u= initial velocity when child was at platform.

Q: A satellite is in elliptical orbit with a period of 8.00 * 10^4 s about a planet of mass 7.00 * 1024…

A: The radius of the perihelion is,

Q: The International Space Station has a mass of 4.19 ✕ 105 kg and orbits at a radius of 6.79 ✕ 106 m…

A: mass of space station, m = 4.19 x 105 kg  mass of astronaut, m' = 86.4 kg  radius, r = 6.79 x 106 m

Q: If a planet is in a circular orbit of radius, R, determine the potential energy due to gravity, its…

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Q: What is the force of gravity acting on a point of mass of 1 kg released from the height of 1 m from…

A: Given: Mass of earth m1 =6 × 1024 kg Mass of the object m2 = 1 kg Radius of the earth =6.4 × 106 m…

Q: What minimum energy is required to take a stationary 3.5 ×103 kg satellite from the surface of the…

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Q: shape of a long thin uniform rod of mass 9.03 x 10^6 kg and length 1153 meters. Small probes of mass…

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Q: As you have learnt in the text, a geostationary satellite orbits the earth at a height of nearly…

A: The amount of the work done needed to carry a unit mass from infinity to a desired point is called…

Q: A 4m board weighing 60 N extends out over the edge of the table with 40% of the board's length off…

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Q: speed at perigee

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Q: If you wanted to place a satellite in a geosynchronous orbit, at what height above the Earth's…

A: Mass of earth (M) = 5.98×1024 kg G = 6.67×10-11 N-m2kg2Radius of earth (R) = 6×106 m Time period for…

Q: satellite (m=7420 kg) with an elliptical orbit has a speed of 2820 m/s at the apogee and 8450 m/s at…

A: Given data uP=8450 m/suA=2820 m/sm=7420 kg

Q: Problem 4: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a…

A: We can answer only three subparts so we will answer first 3 (a, f, g). Please resubmit the question…

Q: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a constant…

A: Given data: Speed of the satellite, v=1.1×104 m/s Mass of the planet, M=6.04×1024 kg Mass of the…

Q: A “treetop satellite” moves in a circular orbit just above the surface of a planet, assumed to offer…

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Q: The perihelion of the comet La Sagra is 1.37 AU and the aphelion is 7.49 AU. Given that its speed at…

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Q: The perihelion of the comet TOTAS is 1.69 AU and the aphelion is 4.40 AU. Given that its speed at…

A: Given:  distance of perihelion, rp = 1.69 AU  velocity of perihelion, vp = 28 km/s distance of…

Q: A bike (including wheels) and rider have a combined mass of 68.5 kg and the two wheels of the bike…

A: Combined mass of bike and the rider=68.5kgInitial velocity u=3.25m/s∴ Initial kinetic…

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

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Q: In March 1999 the Mars Global Surveyor (GS) entered its final orbit about Mars, sending data back to…

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Q: The orbit of Earth around the Sun is almost circular:The closest and farthest distances are 1.47 *…

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Q: A 19 kg. rock is thrown straight down toward the Earth from a distance of 10 earth radii above the…

A: Given:- rock mass = 19 Kg d= 10 * 6370000 meters initial speed of 5400 m/s  mass of the earth is…

Q: The car's mass is M = 0.6 kg and the radius of the hill is R= 0.4 m. The car's kinetic energy at the…

A: We know that: The mass is M=0.6 kg The radius is R=0.4 m KE=1.3MgR Calculating the speed of the…

Q: A light rod is 88 cm long. Its top end is pivoted on a low-friction horizontal axle. The rod hangs…

A: Given that:- Length of light rod=88cm

Q: Problem 4: A satellite is traveling around a planet in a circular orbit with radius R. It moves in a…

A: (a) Write the expression of kinetic energy of the satellite in terms of m and v.

Q: A satellite of mass  243kg orbits the Earth at a constant speed in a circular orbit. The work done…

A: Given : Mass of a satellite (m) = 243 kg

Q: A child of mass 20 kg swings from a 5.90 m long rope, see the figure below. Her tangential speed at…

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Q: A 1950 kg weather satellite moves in a circular orbit with a gravitational potential energy of 1.69…

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Q: In a futuristic scenario, you are assigned the mission of making an enemy satellite that is in a…

A: Given: The mass of the satellite is 975 kg. The altitude is 259 km. The mass of the Earth is…

Q: A 8570-kg satellite has an elliptical orbit, as in Figure 6.9b. The point on the orbit that is…

A: Given: Mass of the satellite (m)=8570kg The speed at apogee (Va)=2590 m/s The speed at perigee…

Q: Mars moves in an elliptical orbit around the sun, and the mass of Mars is much less than the mass of…

A: here we can use Kepler's orbital law  We know that potential energy between two planets can be found…

Q: A motorcyclist performs uniform circular motion on a globe of death with a radius of 4.00 m. It has…

A: Given, Radius of globe of death ,r = 4.0 m  Speed ,v = 10.9 m/s  Mass = 200 kg  g = 10.0 m/s2

Q: A conical pendulum, as shown in the figure, is 12 meter long. a ball of 56 kg tied to the end of a…

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Q: An Earth satellite has a perigee of 300 km and an apogee of 3,500 km above Earth's surface. How far…

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Q: A 150-kg satellite is in a 310-km altitude stable circular orbit around earth. What is its orbital…

A: Given data The mass of the satellite is m = 150 kg The altitude of the circular orbit is H = 310 km…

Q: spaceship has a rotating compartment which gives its passengers artificial gravity. Suppose this…

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Q: t has been suggested that rotating cylinders about 20.0 mi long and 5.49 mi in diameter be placed in…

A: Radius of the cylinder, r = 20.0 mi = 1609×20 m = 32180 m Centripetal acceleration = Free-fall…

Q: An object on a certain planet has an escape speed of V. If another planet has twice the radius and…

A: The escape velocity of the planet can be expressed as V=2GMr

Q: Explain why a centripetal force doesnot do work on a circularly moving objects?

A: The centripetal force does not do work on a circularly moving object because the force is…

Q: A bead is released at the top of a long ramp, slides down to the bottom and ascends a vertical loop…

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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.