The maximum and minimum distances of a cornet form Sun are `1.4 xx 10^(12) m and 7 xx 10^(10) m`. If velocity nearest to Sun is `6 xx 10^(4) ms^(-1)`, what is velocity if cornet when it is farthest from the Sun ?

Explanation

Taking cornet as a point mass and assuming path as circular Applying conservation of angular momentum, `I_(1)omega_(1)=I_(2)omega_(2)`
`m_(i)^(2)xx(v_(1))/(r_(1))=mr_(2)^(2)xx(v_(2))/(r_(2)) and v_(1)r_(1)=v_(2)r_(2)`
`rArr v_(2)=(v_(1)r_(1))/(r_(2))=(6xx10^(4)xx7xx10^(10))/(1.4xx10^(12))=3000 "ms"^(-1)`.