Respuesta :
Answer:
 [tex]F = P_r (\frac{a}{4r})^2[/tex]
Explanation:
The radiation pressure for a total absorption of the incident light is
     P = S / c
Where S is the pointing vector, which is defined as the energy flux per unit area
     S = I = P_r / A
where P_r  powre irradiate by star, A is the area over which the energy emitted by the star is distributed, which is the surface of a sphere
     A = 4π r²
substituting
     S =[tex]\frac{P_r}{4 \pi r^2 }[/tex]
Pressure is defined by
     P = F / A₂
Where A₂ is the area over which the force is applied, in this case the area of ​​the microbe
     A₂ = π a²
     P = F / π a²
Â
we substitute
   [tex]\frac{F}{\pi a^2} = \frac{P_r}{ 4 \pi r^2}[/tex]
    [tex]F = P_r (\frac{a}{4r})^2[/tex]
