This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 3.21 x 10^6 kg and length 1116 meters. Small probes of mass 6342 kg are periodically launched in pairs from two points on the rod-shaped part of the station as shown, launching at a speed of 2853 m/s with respect to the launch points, which are each located 370 m from the center of the rod. After 16 pairs of probes have launched, how fast will the station be spinning? a. 2.58 rpm b. 6.14 rpm c. 3.68 rpm d.8.60 rpm

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 4.78…

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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…

A: Given : Rpe = 1.37 AU Rap = 7.49 AU vpe = 33 km/s

Q: Two stars each of one solar mass (= 2×1030 kg) are approaching each other for a head on collision.…

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Q: The figure shows a spherical hollow inside a lead sphere of radius R = 4.3 m; the surface of the…

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Q: how fast will the station be spinning?

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Q: m A r M. /3

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Q: 2.0 x103 kg satellite is in a circular orbit around the earth (m = 5.98 x 1024 kg). The satellite…

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Q: Zero, a hypothetical planet, has a mass of 5.5 x 1023 kg, a radius of 2.8 x 106 m, and no atmosphere…

A: Given:- A hypothetical planet has a mass of M = 5.5 x 1023 kg, a radius of Ri = 2.8 x 106 m, and no…

Q: Three point particles are fixed in place in an xy plane. Particle A has mass mA = 5 g, particle B…

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Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…

A: Assume the mass of the Sun as M=1.989×1030 kg Assume the mass of the comet is denoted by mc. The…

Q: Journey through the Center of the Earth. A 1024-kg blue ball is dropped from an initial z-position…

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Q: satellite revolves around the earth in a circular orbit with a velocity “v”. What is the total…

A: Given: A satellite revolves around the earth in a circular orbit with a velocity “v." “m” is the…

Q: Zero, a hypothetical planet, has a mass of 5.0 * 102^3 kg, a radius of 3.0 * 10^6 m, and no…

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Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 4.07…

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Q: You are on a space station, in a circular orbit h = 475 km above the surface of the Earth. You…

A: Velocity can be described as the variation moved by a body divided by the time taken in a specific…

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 4.23…

A: Given that: The mass of the uniform rod is M=4.23×106 kg The length is L=660 m The mass of prob is…

Q: s time we have a non-rotating space station in the shape of a long thin uniform rod of mass 1.20 x…

A: GivenMass of rod, M=1.2×106 kgLength of rod, L=1428 mFor probesMass of small probe, m=6066 kgSpeed…

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 8.92…

A: The mass of the rod: M=8.92×106 kg The length of the rod: L=867 m The mass of the probe: m=7618 kg…

Q: AU is a unit of distance. If the orbital speed of Earth at aphelion is v, what is the orbital speed…

A: Angular momentum of earth about sun is conserved which means that at any point in the path of earth…

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 9.63…

A: how fast will the station be spinning. Given, mass of rodm shaped station=9.63×106 kgLengthL of…

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 9.92…

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Q: In a shuttle craft of mass m = 4500 kg, Captain Janeway orbits a planet of mass M = 9.70 x 1025 kg,…

A: Given: mass of shuttle craft m = 4500 kg Mass of planet M = 9.70*1025 kg radius of circular orbit r…

Q: A meteor of mass m is approaching earth as shown on the sketch. The distance h on the sketch below…

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Q: A satellite of mass M is in a circular orbit of radius R about the centre of the earth. A meteorite…

A: We are aware that a satellite of mass M is orbiting the earth in a sphere with radius R. The…

Q: (a) Evaluate the gravitational potential energy (in J) between two 4.00 kg spherical steel balls…

A: The data given is as follows: 1. Mass of the two spherical balls, m1=m2=4 kg 2. Center to center…

Q: NOTE: Your answer suggests that you have assumed constant gravitational

A: Explained as, F=-GMMR+y2

Q: An 800 kg satellite orbits around Earth and take one day for one complete orbit. Earth has a radius…

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Q: In the figure, two satellites, A and B, both of mass m = 49.1 kg, move in the same circular orbit of…

A: Given data: The mass of the two satellites are m=49.1 kg The radius is r=7410 km The mass of the…

Q: A space platform is in a circular orbit about the earth at an altitude of 300 km. As the platform…

A: Given data: The altitude of the space platform is hA=300 km. The velocity of the satellite relative…

Q: On a faraway planet, Marvin ascends a launch tower that is 2300 m high. At this height, he fires a…

A: Given Height H = 2300 m Mass m = 4 kg Radius Rplanet = 33736 km = 33736 x 103m Mass of the planet M…

Q: Consider an object that is in an elliptical orbit with semimajor axis a = 7.9×106 m about a planet…

A: Relation b/w the apogee ( furthest ) and perigee (closest) point with Semimajor axis(a) are as:…

Q: We have a non-rotating space station in the shape of a long thin uniform rod of mass 4.51 x 10^6 kg…

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Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…

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Q: A 3500-kg spaceship is in a circular orbit 220 km above the surface of Earth. It needs to be moved…

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Q: A satellite is in a circular orbit of radius r around the Earth. (Use the following as necessary: G,…

A: A satellite of mass M to move in a circular orbit, centripetal force must be acting on the…

Q: A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of…

A: Given: Closest distance of comet from sun, r1 = 4.9×1010 m with speed, v1 = 9.3×104 m/s Farthest…

Q: Three cats will be placed on a see-saw. Cat 1 is three times more massive than cat 2. While cat 3 is…

A: There is a typing error in question as cat 3 must be placed 1 meter left of point and then where…

Q: Zero, a hypothetical planet, has a mass of 4.5 x 1023 kg, a radius of 3.2 x 106 m, and no…

A: The Gravitational Force is a Conservative Force, therefore the total energy E will be conserved. We…

Q: A meteorite initially stands still at a distance of six earth radii from the center of the earth.…

A: Distance of meteorite from earth's center , D = 6R Radius of Earth , R = 6370 km = 6.37 x 106 m Mass…

Q: This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 1.79…

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Q: (a) Evaluate the gravitational potential energy (in J) between two 6.00 kg spherical steel balls…

A: Answer:-  (a)  Mass of a ball(m1) = 6.00 kg  Mass of second ball(m2) = 6.00kg  The initial center to…

Q: Wo satellit Ces are in circular orbits around a 3.0 kg, orbital radius 7 x 10" m, and orbital spe…

A: Given: 7. To find the mass of HD 68988 and express the answer in sun's mass as,

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.