Earth revolves around the sun at 30 km`s^(-1)` calculated the kinetic energy of the Earth.What is the total energy of the Earth in that case? Is the total energy positive?Give reasons.(Potential energy of earth = `-49.84xx10^32)`

Explanation

Given: V = 30 km/s
`{:("Potential"),("energy"):}}=-49.84xx10^(32)J`
`{:("Mass of"),("the earth"):}}=5.9xx10^(24)`
To find: Kinetic energy = ??
Total energy = ??
Formula:
`{:("Kinetic"),("energy(K.E)"):}}=(1)/(2)mv^(2)`
`=(1)/(2)xx5.9xx10^(24)xx30xx30xx10^(3)xx10^(3)`
`=(1)/(2)xx5.9xx3xx3xx10^(32)`
`K.E=26.55xx10^(32)J`
`thereforeT.E=K.E+P.E`
`T.E=26.55xx10^(32)-49.84xx10^(32)`
`T.E=-23.29xx10^(32)J`
Total energy is negative. It implies Earth is bounded with Sun.