The earth circles the sun once a year. How much work would have to be done on the earth to bring it to rest relative to the sun, (ignore the rotation of earth about - its own axis) Given that mass of the earth is `6 × 10^(24)` kg and distance between the sun and earth is `1.5 × 10^(8)` km-

Options

A. `2.7xx10^(30)J`
B. `2.7xx10^(31)J`
C. `-2xx10^(33)J`
D. `+2.7xx10^(33)J`

Answer

C

Explanation

`omega=(2pi)/(T)`
`=(2pi)/(365xx24xx3600)=1.99xx10^(-7)`rad/s
`W=K_(f)-K_(i)=0-(1)/(2)mv^(2)" "(v=omegaR)`
`=(1)/(2)xx6xx10^(24)xx(1.5xx10^(11)xx1.99xx10^(-7))^(2)`
`=-2.7xx10^(33)J`