Gravity is an example of a central force that acts along the line connecting two spherical masses.HINT(a) As a planet orbits its sun, how much torque does the sun's gravitational force exert on the planet?Gm.O T=planet'sun2GmOT=planet"sunOr= 0Gm planet" sunOT=2rGm planet"sunO T=(b) As a planet orbits its sun, what is the change in the planet's orbital angular momentum?GmAL =planetmsun AtGmAL =planet'sun AtAL = 0Gmplanet"sunAL =2rAtO AL =Gmplanet'sunrAt

Torque = it is the cross product of position vector and force. Angular momentum:- It is the cross…

(a) As a planet orbits its sun, how much torque does the sun's gravitational force exert on the planet? Gm planet"sun OT= 2Gm m OT= planet"sun Or=0 Gm planet"sun OT= 2r Gmplanet" sun T3= (b) As a planet orbits its sun, what is the change in the planet's orbital angular momentum? Gm AL = 'planetm sun At Gm AL = 'planet"'sun At AL = 0 Gm AL = planet" sun 2rAt O AL = Gm planet"'sun rAt

(a) As a planet orbits its sun, how much torque does the sun's gravitational force exert on the planet? Gm planet"sun OT= 2Gm m OT= planet"sun Or=0 Gm planet"sun OT= 2r Gmplanet" sun T3= (b) As a planet orbits its sun, what is the change in the planet's orbital angular momentum? Gm AL = 'planetm sun At Gm AL = 'planet"'sun At AL = 0 Gm AL = planet" sun 2rAt O AL = Gm planet"'sun rAt

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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A rotating space station is said to create "artificial gravity"—a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 210 m in diameter, what angular velocity would produce an "artificial gravity" of 9.80 m/s2 at the rim? ________ rpm
Known values Mass of Sun: 1.99×1030 kg; Mass of Earth: 5.98×10²4 kg; Mass of Moon: 7.36×10²² kg; Earth-Sun distance = 1.50×10" m; Mars-Sun distance = 2.48×10'' m; Earth-Moon distance = 3.82×10® m; Radius of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = -MR²; Damped harmonic motion b -t/2r cos(w't + p); t = m function: x(t) = xoe = wo 1 – –)²; wo = 2mwo' т b. An object with a mass of 0.2 kg attached to a spring exhibits simple harmonic motion according to the equation x = 0.06 cos ( 30t +“). Find the frequency and the period of the oscillation. Find the velocity of the particle, its acceleration and the acting force, as well as the amplitudes of the respective quantities. min Figure 1: Question 2(b) A spring mass system
A rotating space station is said to create “artificial gravity”—a loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 200 m in diameter, what angular velocity would produce an “artificial gravity” of 9.80 m/s2 at the rim?
Known values Mass of Sun: 1.99×1030 kg; Mass of Earth: 5.98×10²4 kg; Mass of Moon: 7.36× 10²² kg; Earth-Sun distance = 1.50×10'" m; Mars-Sun distance = 2.48 × 10" m; Earth-Moon distance = 3.82 ×10° m; Radius of Earth: 6380 km; Moment of inertia: solid sphere rotating about diameter- I = - MR²; Damped harmonic motion b )2; wo =. 2mwo' m function: x(t) = x,e-t/2r cos(w't + ø); =! = Wo 1 – %3D m Question 2 In designing different structures like buildings, bridges etc., how should the natural frequencies of oscillation of a structure associated to seismic frequencies? For safety, should the structure have a large or small amount of damping? Please explain reasonably. а.
A rotating space station is said to create “artificial gravity”: A loosely-defined term used for an acceleration that would be crudely similar to gravity. The outer wall of the rotating space station would become a floor for the astronauts, and centripetal acceleration supplied by the floor would allow astronauts to exercise and maintain muscle and bone strength more naturally than in non-rotating space environments. If the space station is 180 meters in diameter, what angular velocity would produce an “artificial gravity” of 9.80 meters per second squared at the rim in radians per second?
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Physics MCQ
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40. A body of mass 4 kg moves with constant angular Speed 37 rad s'' around a horizontal circle of radius 2 m. The magnitude of the force acting towards the centre of the circle is A 127? N B 72n2 N C 367? N m D 2472 N