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
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]
