Question

xercise 15.29: At a distance of 6.00×1012 m from a star, the intensity of the radiation from the star is 14.7 W/m2. Assuming that the star radiates uniformly in all directions, what is the total power output of the star?

Answer 1

`6.65*10^(27)W`

Step-by-step explanation:

The relationship of intensity:

`I=(P)/(4\pi r^(2) )`

Intensity:
`I=14W/m^(2)`

radius:
`r=6.00*10^(12) m`

Power is unknown

Now we can apply the formula

`I=(P)/(4\pi r^(2) )\\P=I(4\pi r^(2))\\P=14.7(4*\pi *(6.00*10^(12) )^(2) )\\P=6.65*10^(27) W`