MRT
22nd December 2009, 02:25 AM
Increase of mass in the gravitational field
As you know, force multiplied by distance equals energy:
E=F.d
E represents energy; F represents force and considers d as distance. Also the gravitational force between two masses is calculated by the following equation:
http://www.ki2100.com/images/physics/delta_m/1.gif
Where G equals to the global constant of gravity and M is the first mass and m represents the second mass of a material and r is the radius between two centers. So gravitational potential energy obtain by following ways:
http://www.ki2100.com/images/physics/delta_m/2.gif
U represents gravitational potential energy that equals and equivalent to the corresponding mass and it will increase to the mass. Now we calculate the mass amount:
http://www.ki2100.com/images/physics/delta_m/3.gif
m0 is the initial mass of a material, c is the speed of light, Δm is increase in mass of a material in gravitational field and m is the final mass of a material in the gravitational field. Hence, we calculate 1kg mass of a material in the sun surface:
http://www.ki2100.com/images/physics/delta_m/4.gif
http://www.ki2100.com/english/images/MS-Word.gif (http://www.ki2100.com/english/MS-word/physics/Increase%20of%20mass%20in%20the%20gravitational%20 field.doc)
http://www.ki2100.com/english/images/Adobe-Reader.gif (http://www.ki2100.com/english/PDF/physics/Increase%20of%20mass%20in%20the%20gravitational%20 field.pdf)
Author: Mohammadreza Tabatabaei
Dec 22, 2009
As you know, force multiplied by distance equals energy:
E=F.d
E represents energy; F represents force and considers d as distance. Also the gravitational force between two masses is calculated by the following equation:
http://www.ki2100.com/images/physics/delta_m/1.gif
Where G equals to the global constant of gravity and M is the first mass and m represents the second mass of a material and r is the radius between two centers. So gravitational potential energy obtain by following ways:
http://www.ki2100.com/images/physics/delta_m/2.gif
U represents gravitational potential energy that equals and equivalent to the corresponding mass and it will increase to the mass. Now we calculate the mass amount:
http://www.ki2100.com/images/physics/delta_m/3.gif
m0 is the initial mass of a material, c is the speed of light, Δm is increase in mass of a material in gravitational field and m is the final mass of a material in the gravitational field. Hence, we calculate 1kg mass of a material in the sun surface:
http://www.ki2100.com/images/physics/delta_m/4.gif
http://www.ki2100.com/english/images/MS-Word.gif (http://www.ki2100.com/english/MS-word/physics/Increase%20of%20mass%20in%20the%20gravitational%20 field.doc)
http://www.ki2100.com/english/images/Adobe-Reader.gif (http://www.ki2100.com/english/PDF/physics/Increase%20of%20mass%20in%20the%20gravitational%20 field.pdf)
Author: Mohammadreza Tabatabaei
Dec 22, 2009