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What is the gravitational potential ener...

What is the gravitational potential energy of the Earth and sun ? The Earth to sun distance is arouund 150 million Km . The mass of the Earth is `5.9 xx 10^(24)`kg and the mass of the sun is `1.9 xx 10^(30)` kg.

Text Solution

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Mass of the Earth `M_(E ) = 5.9 xx10^(24)` kg
Mass of theSun `M_(s) = 1.9 xx10^(30)` kg
Distance between the Sun and Earth
r = 150 million km , r = `150 xx10^(9)` m
Gravitational constant `G = 6.67 xx10^(-11) "Nm"^(2) kg^(-2)`
The Gravitational constant `G = 6.67 xx10^(-11) "Nm"^(2) kg^(-2)`
The gravitational potential energy
`U = - (GM_(E)M_(S))/(r) = (-6.67 xx10^(-11) xx 5.9 xx10^(24) xx1.9 xx10^(30))/(150 xx10^(9))`
` = - (74.7707)/(150 ) xx 10^(34) = - 0.4985 xx10^(34)`
`U = - 4.985 xx10^(33)` joule (or) J
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