An artificial satellite is moving in a circular orbit of radius 42250

The motion of objects is governed by Newton's laws. The same simple laws that govern the motion of objects on earth also extend to the heavens to govern the motion of planets, moons, and other satellites. The mathematics that describes a satellite's motion is the same mathematics presented for circular motion in Consider a satellite with mass M sat orbiting a central body with a mass of mass M Central. The central body could be a planet, the sun or some other large mass capable of causing sufficient acceleration on a less massive nearby object. If the satellite moves in circular motion, then the F net = ( M sat• v 2 ) / R This net centripetal force is the result of the F grav = ( G • M sat • M Central ) / R 2 Since F grav = F net, the above expressions for centripetal force and gravitational force can be set equal to each other. Thus, (M sat• v 2) / R = (G • M sat • M Central ) / R 2 Observe that the mass of the satellite is present on both sides of the equation; thus it can be canceled by dividing through by M sat. Then both sides of the equation can be multiplied by R, leaving the following equation. v 2 = (G • M Central ) / R Taking the square root of each side, leaves the following equation for the velocity of a satellite moving about a central body in circular motion where G is 6.673 x 10 -11 N•m 2/kg 2, M central is the mass of the central body about which the satellite orbits, and R is the radius of orbit for the satellite. The Acceleration Equation Similar reasonin...

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This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts. See Answer See Answer See Answer done loading Question:5 points An artificial satellite is moving in a circular orbit of radius 42250.0 km. It takes 24 hour to revolve around the earth. What is its speed in m/s2 A. 3700.0 m/s B. 3070.9 m/s W C. 7300.5 m/s OD.730.0 m/s

• Course • NCERT • Class 12 • Class 11 • Class 10 • Class 9 • Class 8 • Class 7 • Class 6 • IIT JEE • Exam • JEE MAINS • JEE ADVANCED • X BOARDS • XII BOARDS • NEET • Neet Previous Year (Year Wise) • Physics Previous Year • Chemistry Previous Year • Biology Previous Year • Neet All Sample Papers • Sample Papers Biology • Sample Papers Physics • Sample Papers Chemistry • Download PDF's • Class 12 • Class 11 • Class 10 • Class 9 • Class 8 • Class 7 • Class 6 • Exam Corner • Online Class • Quiz • Ask Doubt on Whatsapp • Search Doubtnut • English Dictionary • Toppers Talk • Blog • Download • Get App Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, Class 8, Class 9, Class 10, Class 11 and Class 12, IIT JEE prep, NEET preparation and CBSE, UP Board, Bihar Board, Rajasthan Board, MP Board, Telangana Board etc NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year papers, NEET previous year papers, NCERT books for classes 6 to 12, CBSE, Pathfinder Publications, RD Sharma, RS Aggarwal, Manohar Ray, Cengage books for boards and competitive exams. Doubtnut is the perfect NEET and IIT JEE preparation App. Get solutions for NEET and IIT JEE previous years papers, along with chapter wise NEET MCQ solutions. G...

The motion of objects is governed by Newton's laws. The same simple laws that govern the motion of objects on earth also extend to the heavens to govern the motion of planets, moons, and other satellites. The mathematics that describes a satellite's motion is the same mathematics presented for circular motion in Consider a satellite with mass M sat orbiting a central body with a mass of mass M Central. The central body could be a planet, the sun or some other large mass capable of causing sufficient acceleration on a less massive nearby object. If the satellite moves in circular motion, then the F net = ( M sat• v 2 ) / R This net centripetal force is the result of the F grav = ( G • M sat • M Central ) / R 2 Since F grav = F net, the above expressions for centripetal force and gravitational force can be set equal to each other. Thus, (M sat• v 2) / R = (G • M sat • M Central ) / R 2 Observe that the mass of the satellite is present on both sides of the equation; thus it can be canceled by dividing through by M sat. Then both sides of the equation can be multiplied by R, leaving the following equation. v 2 = (G • M Central ) / R Taking the square root of each side, leaves the following equation for the velocity of a satellite moving about a central body in circular motion where G is 6.673 x 10 -11 N•m 2/kg 2, M central is the mass of the central body about which the satellite orbits, and R is the radius of orbit for the satellite. The Acceleration Equation Similar reasonin...