NASA scientists suggest using rotating cylindrical craft to recreate gravity while in a weightless environment. Consider such a craft that has a diameter of d = 124 m. What is the speed v, in meters per second, the craft must rotate at its outer edge to recreate the force of gravity on earth g. At what rate, in revolutions per minute, is the station rotating?

Q: An ordinary workshop grindstone has a radius of 6.50 cm and rotates at 7000 rpm. (a) Calculate the…

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Q: Now we have a rod-shaped space station of length 1017 m and mass 5.55 x 10^6 kg, which can change…

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

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Q: Spacecraft could create a type of artificial gravity by spinning fast enough to create a radial…

A: The equation for the magnitude of the radial acceleration is given by,

Q: NASA scientists propose using rotating cylindrical craft to mimic gravity while in a weightless…

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Q: Satellites A and B are flying around the earth. The masses of bothsatellites are 5,000 kg. The…

A: The problem is asking for the gravitational forces acting on two satellites, A and B, orbiting the…

Q: Suppose that the Sun runs out of nuclear fuel and suddenly collapses to form a white dwarf star. The…

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Q: Now we have a rod-shaped space station of length 1488 m and mass 7.87 x 10^6 kg, which can change…

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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.…

Q: NASA scientists propose using rotating cylindrical craft to mimic gravity while in a weightless…

A: Diameter of craft, D= 81 m radius= D/2= 40.5 meter acceleration due to gravity, g= 9.81 m/s2…

Q: Now we have a rod-shaped space station of length 682 m and mass 4.04 x 10^6 kg, which can change its…

A: Initial length of the space station, l1=682 m Mass of the space station, m=4.04×106 kg      (mass of…

Q: Long-term space missions require some form of artificial gravity to prevent astronauts losing bone…

A: Here, FC=Fg2mω2r=mg2r=g2ω2

Q: Future space stations will create artificial gravity by rotating. Consider a cylindrical space…

A: Given : Diameter of cylindrical space station D=730 m

Q: A newly discovered planet has a mass of 7.0 x 1023 kg and radius 1000 km.  What is the free fall…

A: The given values are, m=7.0×1023 kgR=1000 km=1000×103 m

Q: There is a fighter jet that flies at a constant speed in a circular orbit with a radius of 10…

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Q: In the 1968 film 2001: A Space Odyssey, directed by Stanley Kubrick, some spacefarers make the…

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Q: Future space stations will create an artificial gravity by rotating. Consider a cylindrical space…

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Q: Problem 1: NASA scientists suggest using rotating cylindrical craft to mimic gravity while in a…

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Q: Saturns moon Titan has a mass of 1.45*10^23 kg and a radius of 2580 km. What is the free fall…

A: Given,

Q: An astronaut orbiting the Earth is preparing to dock with a Westar VI satellite. The satellite is in…

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Q: A new discovered asteroid were observed by astrophysi It is said to be moving along a circular path…

A: Given data: Diameter of circular path is D=600 km. The angular velocity is ω=3t2 rad/s.

Q: A 10 kg ball tied to a string moves in a circle that has a radius of 1m.If the ball is accelerating…

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Q: A newly discovered planet has a mass of 8.5 x 1023 kg and radius 1000 km.  What is the free fall…

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Q: walking from the center toward the rim of the merry-go-round at velocity 1

A: The Coriolis pseudoforce is a force that is felt by objects moving in a rotating frame of reference.…

Q: Now we have a rod-shaped space station of length 572 m and mass 6.59 x 10^6 kg, which can change its…

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Q: A spaceship travels in a circular orbit around a planet. It applies a sudden thrust and increases…

A: To change a circular orbit to a parabolic one, a spaceship would need to change its velocity from a…

Q: A spaceship orbits earth from a distance of 2.656 × 10^4km with a centripetal acceleration of 7.962…

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Q: At what angular speed should the earth rotate about it axis so that apparent weight of a body on the…

A: To find- Angular length of the day (T)Length of the day (i.e. periodic time T)=?Given…

Q: A cylindrical space station is 531 m in diameter. It rotates in order to create artificial gravity…

A: Diameter of the space station, (d)= 531 m The centripetal acceleration is (ac)=2.5 g Where, g=The…

Q: A satellite will travel indefinitely in a circular orbit around the earth if the normal component of…

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Q: Suppose the surface (radius = r) of a cylindrical space station is rotating at 22.4 m/s to provide…

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Q: A circular space station has a diameter of 386 m.  Determine the frequency (per minute) with which…

A: The diameter of the space station is, D=386 m. The Earth's gravitational field is, g=10 N/kg = 10…

Q: You are the science officer on a visit to a distant solar system. Prior to landing on a planet you…

A: Part (a) The acceleration due to gravity gp for the planet is related to its mass and its radius can…

Q: Radius of Earth, RE: 6,3781366E+06 m Mass of Earth, ME: 5,9721426E+24 kg h=554km A spacecraft…

A: Height above the surface of earth (h) = 554000 m Radius of earth (r) = 6.378×106 m Mass of earth (m)…

Q: The centers of two 25.0 kg spheres are separated by 5.00 m. The magnitude of the gravitational force…

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Q: sees tha diameter and estimated to nave a mass of 4.35 x 10' kg is moving in a straight line and…

A: Asteroid Mass, m=4.35×105 Kg Asteroid Diameter, d=170.0 Km=170×103 m Asteroid radius, r=85 km=85×103…

Q: At what angular speed should the earth rotate about it axis so that apparent weight of a body on the…

A: Apparent weight of the body at the equator should be zero. Radius of the earth, R=6400 km=6.4×106 m…

Q: A mass m rotates at constant speed v at a radius of R from the orational axis. A force F provides…

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Q: Artifical gravity is a must for any space station if humans are to live there for any extended…

A: Given information: Here, FT is the thrust force applied by the alien’s rocket, d1 and d2 are the…

Q: Gliese 180d is an exoplanet that has a mass 8 times that of Earth and the acceleration due to…

A: Given: Let mass of the earth = M The mass of the Gliese 180d = 8M The gravitational acceleration of…

Q: An object is said to be moving along a circular path of diameter 600km. If it is revolving with an…

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Q: It is proposed that future space stations create an artificial gravity by rotating. Suppose a space…

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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.