- #1

daNAV1GATOR

- 45

- 0

**[SOLVED] Help with Energy unit ... Joules... EASY!**

## Homework Statement

The sun burns up 3.6 x 10[tex]^{9}[/tex] kg of matter each second.

Using the formula

*E*=

*mc*[tex]^{2}[/tex], determine how much energy the

sun releases each second. [Speed of light: 3 x 10[tex]^{8}[/tex] m[tex]/[/tex]s]

## Homework Equations

*E*=

*mc*[tex]^{2}[/tex]

## The Attempt at a Solution

*E*=

*mc*[tex]^{2}[/tex]

. .= (3.6 x 10[tex]^{9}[/tex] kg)(3 x 10[tex]^{8}[/tex] m[tex]/[/tex]s)[tex]^{2}[/tex]

. .= (3.6 x 10[tex]^{9}[/tex] kg)(9 x 10[tex]^{16}[/tex] m[tex]^{2}[/tex][tex]/[/tex]s[tex]^{2}[/tex])

. .= 32.4 x 10[tex]^{25}[/tex] [tex]\frac{kg \cdot m^2}{s^2}[/tex]

Now I'm stumped with what to do with the units... I know it should be Joules per second. But how do I show in my solution that Joules will come out? Joules is N[tex]\cdot[/tex]m!

Do I have to change the kg into N? ... My textbook says that the magnitude of c[tex]^{2}[/tex] is 9 x 10[tex]^{16}[/tex] Joules per kilogram.

Please check my calculations also!

**Thank You!**