A planet of mass `m` is moving in an elliptical orbit around the sun of mass `M`. The semi major axis of its orbit is a, eccentricity is `e`.
Find speed of planet `V_(2)` at aphelion `A`.

Options

A. `sqrt((GM)/a((1+e))/((1-e)))`
B. `sqrt((GM)/a((1-e))/((1+e)))`
C. `sqrt((GM)/(a^(3))((1+e^(2)))/((1-e^(2))))`
D. `sqrt((GM)/(a^(3))((1-e^(2)))/((1+e^(2))))`

Answer

B

Explanation

From the given information, `E_(x)=10N//kg`
But, no information is provided about `E_(y)` and `E_(z)` So, `E=sqrt(E_(x)^(2)+E_(y)^(2)+E_(z)^(2))=10N//lg` if `E_(y)=E_(z)=0gt10N//kg` if `E_(y)` and `//` or `E_(z)` are non-zero values