What is the Relationship Between Solar Wind and Kinetic Energy?

[scotshocker]

Homework Statement

At what rate does the solar wind carry kinetic energy away from the sun? Give your result first in watts, then as a fraction of the Sun's luminosity in photons, L=3.8*10^26 W

Homework Equations

KE=(1/2)mv^2
mass loss of sun- M_sunloss=4πr²vρ

The Attempt at a Solution

I think this is one of those problems that seems so simple I am second guessing myself. Is it really as simple as input the mass loss of the sun in for my m in the KE formula and then dividing it by a second to find the wattage and then converting into luminosity?

 

[mfb]

If you know v and ρ: yes.