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…

Continue ReadingA 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.

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…

Continue ReadingThe 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?

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…

Continue ReadingShow 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.

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…

Continue ReadingIf 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.