This time we have a non-rotating space station in the shape of a long thin uniform rod of mass 4.23 x 10^6 kg and length 660 meters. Small probes of mass 9078 kg are periodically launched in pairs from two points on the rod-shaped part of the station as shown, launching at a speed of 3658 m/s with respect to the launch points, which are each located 235 m from the center of the rod. After 12 pairs of probes have launched, how fast will the station be spinning?

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: We have a non-rotating space station in the shape of a long thin uniform rod of mass 2.60 x 10^6 kg…

A: Since the system has no external torque, the angular momentum of the system will be conserved.…

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: 1. The Soyuz are a Russian spacecraft used to take astronauts to the International Space Station…

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Q: how fast will the station be spinning?

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

A: Acceleration in the core of the planet decreases as we move inside.  Given : mass m= 1024 kg…

Q: A 1024-kg blue ball is dropped from an initial z-position of 2.6 x 106 m through the center of a…

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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: 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: A planet is in an elliptical orbit around a distant star. At periastron (the point of closest…

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Q: In the figure, two satellites, A and B, both of mass m = 36.8 kg, move in the same circular orbit of…

A: using conservation of momentum and  orbital velocity concept.

Q: To test the speed of a bullet, you create a pendulum by attaching a 3.20 kg wooden block to the…

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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: 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: The radius of Saturn (from the center to just above the atmosphere) is 60300 km (60300 × 10³ m), and…

A: Given  Radius of Saturn R= 60300× 103 m = 6.03×107m Mass of Saturn M = 5.7 × 1026 kg

Q: A 1024-kg blue ball is dropped from an initial z-position of 2.3 x 106 m through the center of a…

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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: A 1024-kg blue ball is dropped from an initial z-position of 2 x 106 m through the center of a…

A: Concept used: The planet provides gravitational acceleration to the ball. Equation of motion is…

Q: A 1024-kg blue ball is dropped from an initial z-position of 3.7 x 106 m through the center of a…

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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…

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

A: Explained as, F=-GMMR+y2

Q: Three collinear masses are separated by the distances shown. How much work does it take to pull…

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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: 6. The satellite of mass m- 500kg, is launched vertically upwards from the surface of the planet (RE…

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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 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: 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 meteoroid is moving towards a planet. It has mass m = 0.22×109 kg and speed v1 = 3.5×107 m/s at…

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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.