A thin rod with mass M = 5.00 kg is bent in a semicircle of radius R=0.650 m  (a) What is its gravitational force (both magnitude and direction on a particle with mass m = 3.0 * 10-3 kg at P, the center of curvature? (b) What would be the force on the particle if the rod were a complete circle?

Q: 27 Problems 1.2. Calculate the altitude at which an artificial satellite orbiting in the equa-…

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Q: It has been suggested to place rotating cylinders about 22 km long and 10 km in diameter in space as…

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Q: A planet orbits a star, in a year of length 2.77 x 107 s, in a nearly circular orbit of radius 3.78…

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Q: Consider an asteroid with a radius of 18 km and a mass of 3.6×1015 kg . Assume the asteroid is…

A: Given:- Radius  R= 18 km =18 X 103 m mass of the asteroid m= 3.6 X 1015  kg  Find:- a) What is the…

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Q: Assuming the earth to be an oblate spheroid, so that the distance from the center to the equator is…

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Q: A weather satellite is to be placed in a circular orbit around the earth at an altitude of 300…

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Q: Page 1 of 2 2. Earth is rotating about the Sun in our solar system. The distance between the Earth…

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Q: Geosynchronous communication satellites remain directly above a single location on the Earth's…

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Q: A proposed space station includes living quarters in a circular ring 63.7 m in diameter. At what…

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Q: A uniform solid sphere of radius R = 0.74 km produces a gravitational acceleration of ag on its…

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Q: .) An Astronaut is in free orbit around the earth while doing a spacewalk. Assuming that he is in a…

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Q: A 500-kg communications satellite is in a circular geosynchronous orbit and completes one revolution…

A: We have Given here, Mass of Satellite = 500 kg, Time to complete one revolution about the earth = 23…

Q: A satellite of mass m = 3.94e + 3 kg is in circular orbit around the Earth, and the radius of this…

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Q: A rack of seven spherical bolwing balls (each 7.30 kg, radius of 9.30 cm) is positioned along a line…

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Q: 7. In the figure, a particle of mass m = 2.31 kg is a distanced= 0.53 m from one end of a…

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Q: What radius must the sphere have so that the acceleration due to gravity at the Earth's new surface…

A: We know acceleration due to gravity at the surface of a plane is  g = (GM/R2 ) 1/2 . where M = mass…

Q: Assuming that the Earth has a uniform density ?=5540.0 kg/m^3, what is the value of the…

A: (given) Uniform density of Earth = 5540 kg/m3 Distance (d) from the center of the Earth = 5900 km =…

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Q: An asteroid can be modeled as a right circular cylinder of radius 150 m and length 500 m with…

A: Given,

Q: Three point masses each of mass m rotate in a circle of radius a with constant angular velocity w…

A: Here Universal Law of attraction shall be followed , as detailed in the workings.

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Q: The proton is traveling at a constant speed of 5.5 × 105 m/s, and the radius of the kissing circle…

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Q: Two identical uniform spheres A and B, with mass M = 1.00 [kg], are placed 0.500 [m] away from…

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Q: A planet orbits a star, in a year of length 3.51 x 107 s, in a nearly circular orbit of radius 3.92…

A: Time period, T = 3.51 x 107 s radius, r = 3.92 x 1011 m

Q: •6 G0 In Fig. 13-32, a square of edge length m 20.0 cm is formed by four spheres of masses m¡ = 5.00…

A: Given: m1=5g=5×10-3kgm2=3g=3×10-3kgm3=1g=1×10-3kgm4=5g=5×10-3kgm5=2.5g=2.50×10-3kg l=20 cm

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Q: An amusement park ride consists of a car moving in a vertical circle on the end of a rigid boom of…

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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.