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…

A:

Q: 17. A ball of mass 0.25 kg is thrown vertically upward from the roof of a building 18 m high with a…

A: The mass of the ball, The height of the building, The speed of the ball,

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: Calculate the axial and total angular momentum of the Earth.

A: Given: The distance between the earth and Sun =1.5 x 1011m The impact of an asteroid of mass = 8.9 x…

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?

A:

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

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

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…

A:

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…

A:

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

A:

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

A:

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: 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…

A:

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…

A:

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

A: (a) In particular, we're using the principle of conservation of mechanical energy, which states that…

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

A:

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: The 0.100 kg sphere in (Figure 1) is released from rest at the position shown in the sketch, with…

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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 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: a) Evaluate the gravitational potential energy (in J) between two 9.00 kg spherical steel balls…

A: a. Gravitational potential energy of the given system is U=-Gm1m2r=-6.67×10-11 Nm2/kg29 kg9 kg0.23…

Q: We have a non-rotating space station in the shape of a long thin uniform rod of mass 6.38 x 10^6 kg…

A:

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…

A:

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

A:

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

A: (a)When they are touching the separation between  the  centers is  24cm or 0.28m.Write the…

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: 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=?

Q: Two spherical bodies of masses M and 5M and radii R and 2R are released in free space with initial…

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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…

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.