SOLAR SYSTEM

Detailed explanation-1: -Gravitational potential at any point is equal to gravitational potential energy of a body of unit mass. Statement II. The gravitational potential of a body of mass m is U=−GMmr, where symbols have their usual meanings.

Detailed explanation-2: -The change in potential energy is Ug = mgh. A potential energy function is a function of the position of an object. It can be defined only for conservative forces. A force is conservative if the work it does on an object depends only on the initial and final position of the object and not on the path.

Detailed explanation-3: -Multiply the mass of the object ( m ) and the height above the reference level ( h ) by the acceleration g to find the potential energy: E = m · g · h .

Detailed explanation-4: -Therefore if the radius of the Earth (r) is increased, the force of gravity (and hence your weight) will decrease. Similarly, if the radius of the Earth is shrunk (r smaller) then your weight would increase.

Detailed explanation-5: -The total energy E of a system is simply the sum of its internal, kinetic, an potential energies: E=me=m(u+ke+pe)=U+KE+PE.

Detailed explanation-6: -The minimum speed required to escape from a planet’s gravitational pull is known as the escape speed. There is a negative potential energy associated with an object of mass m being at a planet’s surface. For a planet of mass M and radius R, that potential energy is: U =-GmM/R.