This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 7.51 x 10^6 kg and length 915 meters. Small probes of mass 8165 kg are periodically launched in pairs from two points on the rod-shaped part of the station as shown, launching at a speed of 4776 m/s with respect to the launch points, which are each located 332 m from the center of the rod. After 10 pairs of probes have launched, how fast will the station be spinning?     1.32 rpm     4.72 rpm     1.89 rpm     7.55 rpm

Q: meteoroid is moving towards a planet. It has mass m = 0.18×109 kg and speed v1 = 4.7×107 m/s at…

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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 4.78…

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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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A: Mass of blue ball (m) = 1024 kg Initial z position (x) above surface = 4×106 m Radius of planet (R)=…

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Q: At apoapsis (furthest point from the star), the

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Q: Problem 6: A meteoroid is moving towards a planet. It has mass m = 0.86x10° kg and speed v = 1.1x107…

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Q: Gm,m2 F, 2GM 2nr GM r2 , dc = V 3= T R2 , Vesc = R Gm,m2 Gm,m2 КЕ — E = KE +U, , Ecircular G = 6.674…

A: Given data: The orbital distance between the Earth and the Sun is, rE=1.5×1011 m. The orbital…

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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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A: Distance of the solar system isR=25,000 ly speed at which the solar system is orbiting is v=230 km/s

Q: speed vpi in the opposite direction. See the diagram below: Although the satellite never touches…

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Q: A shuttle is being launched off a planet that has no air. The planet has a radius of 3.46×106 m and…

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Q: The perihelion of Halley’s comet is 0.586 AU and the aphelion is 17.8 AU. Given that its speed at…

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Q: (a) Imagine that a space probe could be fired as a projectile from the Earth's surface with an…

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

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A: Consider the mass of the Earth be M, the rocket’s mass be m, the distance of the rocket, that is the…

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

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Q: what will be its velocity when it reaches 5.2x10^6m from the center of the new planet?

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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 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,…

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Q: Two 0.52-kg basketballs, each with a radius of 12 cm , are just touching. How much energy is…

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Q: Stars and black holes in a binary system orbit each other in circular orbits of radius r1 and r2…

A: mass of an orbital m= 1.98x1030 kg v1 =5.36 times faster than our Sun T=30 hours r1=?,r2=?m2=?

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Q: A 5.00 kg satellite is launched from the north pole into a circular orbit 800 km above the surface…

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Q: A disk with velocity v= 10m/s, mass m=4 kg, and radius r=.3 m. Find the total kinetic energy.

A: The total kinetic energy is the sum of the translation kinetic energy and rotational kinetic energy.…

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Q: A spaceship with m = 1.00 ✕ 104 kg is in a circular orbit around the Earth, h = 800 km above its…

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

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Q: A planet has a radius of 4.00 x 10^6 m, and rotates so rapidly that an object on the equator feels…

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

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

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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.