Udit Gupta is teaching live on Unacademy Plus
MIND PALACE UDIT GUPTA
WELCOME TO THE 2ND MIND PALACE! TODAY WE DISCUSS GRAVITATIONAL FIELD AND POTENTIAL DONT FORGET TO CHECK THE SPECIAL GLASSES &PLUS COURSED Apos Other bookom unacademy Home minus oday Serch Coss Topis&Educa Browse Courses ALL Railway Examinations Class 12 NTA-UGCNET GATE (Civil RPSC CTET MPSc SSC CGL IT JEE Exams CAT UPSC CSE GATE (CS and IT) CDS NDA/ AFCAT IIT JEE Crash Course on Physics through 750 Important Questions O Last date to apply is 29th Orct Soil, Classification and Distribution Exam Oriented Discussion on Numbers and Operation Understanding Fluid Flow through Top Festivais and Fairs of Rajasthan 7,500 21 21 t Udit Gupta
E =-dV /dr Gravitational Field Intensity Potential The gravitational force experienced by a unit mass placed at a point. Uniform spherical shell Solid Sphere Uniform ring Finite Linear mass Infinite Linear mass Uniform Disc The amount of work done by an external agent in bringing a body of unit mass from infinity to that point in the gravitational field. GM v=
Uniform Spherical Shell: For r > a, E = For a point inside the shell, E = 0,r < a GM 2 Solid Sphere: Inside r < a, -- Outside r a, EG GMr r2 EL GM Uniform ring at a distance r on the axis from centre: GMr (a2 + r2)3/2 GM towards the centre of the ring
Due to a linear mass of finite length on its axis: MF n GM Due to infinite uniform linear mass distribution (linear mass density ): Due to a uniform disc of mass M: 2GMx [1 At a distance x on the axis from the centre.
Uniform Spherical Shell: For a, V = For a point inside the shell, V =--, GM GM vl GM/ Uniform thick spherical shell: Inside r <a, v Outside r 20,V- GH Uniform ring at a distance r on the axis from centre: GM (a2 + r2)1/2 GN
Due to uniform solid sphere at point P: Inside r a,V-_ (3a2-2) Outside r a,V =-GM Due to a linear mass of finite length on its GM GM/ axis: In Due to infinite uniform linear mass distribution (linear mass density 2): Potential difference between two points at distance d1 and d2,
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