- #1

najatau

- 6

- 0

**Hello! These problems of mine are due in the morning. I'm not sure whether or not I will be able to figure them out in time, but I do need to understand the process in order to prepare for my finals. So any help would be much appreciated! Thank you.**

1. Homework Statement

1. Homework Statement

A comet is in an elliptical orbit around the Sun. Its closest approach to the Sun is a distance of 4.6

speed

## Homework Equations

[/B]

KSun,f + Kcomet,f + Uf = KSun,i + Kcomet,i + Ui

## The Attempt at a Solution

I set KSun to 0 for both sides since the sun isn't moving.

Then I set up this equation:

(1/2)Mv

^{2}

_{comet final}+(6.7X10

^{-11})(1.989x10

^{30}

_{mass of the sun})/(distance)

_{comet final}=(1/2)Mv

^{2}

_{comet initial}+(6.7X10

^{-11})(1.989x10

^{30}

_{mass of the sun})/(distance)

_{comet initial}

And I isolated one of the velocities:

(v

_{final}

^{2}/2)+((6.67x

^{-11})((1.989x10

^{30})/6x10

^{12})=((1/2)(9.1x10

^{4})

^{2})+((6.67x10

^{-11})(1.989x10

^{30})/4.6x10

^{10})

v

_{final}=sqrt(2*((1/2)(9.1x10

^{4})

^{2})+((6.67x10

^{-11})-((6.67x

^{-11})((1.989x10

^{30})(1.989x10

^{30})/4.6x10

^{10}))

And I got 75,656 m/s, which isn't the correct answer. :(