Gravitation
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What Is The Time Period Of An Artificial Satellite?
Time period of an artificial satellite: Let us consider an artificial satellite revolves around the earth with a velocity , at a height from the surface of the earth. Mass…
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If A Body Falls Freely In The Earth’s Gravitational Field From Infinity, Show That It Attains The Same Velocity On Reaching The Earth’s Surface As That Attained By A Freefall From A Height Above The Earth Equal To Its Radius (R), Under A Constant Acceleration Due To Gravity (g), Where g Refers To The Value On Earth’s Surface.
The velocity on reaching the earth’s surface of a body which falls freely: Let us consider the mass of the earth is and the radius is . There is a…
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Show That The Gravitational Intensity And Potential At Any Point On The Surface Of The Earth Are ‘g’ &’gR’ Respectively, Assuming The Earth To Be A Uniform Solid Sphere Of Radius R.
Gravitational intensity on the earth’s surface is g: Let us consider the earth as a uniform sphere of radius and mass . We know that the intensity of the gravitational…
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Show That The Gravitational Potential At The Centre Of The Solid Sphere Is 3/2 Times That On Its Surface.
Let us consider a solid sphere of radius and mass . So the gravitational potential at a point on the surface of the sphere is Gravitational potential at a point…
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What Amount Of Work Is Done In Moving An Object From One Point To Another Point On The Surface Of Spherical Shel?
Let us consider a homogeneous spherical shell of radius and mass , then the gravitational potential at a point on the surface of the spherical shell is , where is…
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The Potential Of The Two Homogeneous Spherical Shells Of Same Surface Density At Their Respective Centres Are In The Ratio 3:4. If The Two Shells Coalesce Into A Single One The Surface Density Remains Unchanged. What Is The Potential At An Internal Point Of This Shell?
Let us consider two spherical shells of radii and . These two shells coalesce into one single spherical shell of radius . Let the surface density of the shells is…
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The Potential Of Two Homogeneous Spherical Shells At Internal Points Are In The Ratio Of 3:4, Find The Ratio Of The Radii.
Let us consider two homogeneous shells of radii & respectively and the surface of the material is . Now the potentials are, where is the gravitational constant. therefore, , Now…
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A Sphere Is Described On A Radius Of Another Sphere As Diameter. If The Later Sphere Be A Homogeneous Sphere Of Mass “M” And Radius “a”, Find The Resultant Attraction On The Portion Included In The Smaller Sphere.
Let us consider a sphere of radius “a” with centre at “O” and a smaller sphere is described on the radius of the previous sphere as diameter with centre at…