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A budding magician holds a 3.98-mW laser pointer, wondering whether he could use it to keep an object floating in the air with the radiation pressure. This might be an idea for a new trick! Assuming the laser pointer has a circular beam 3.00 mm in diameter and the magician rigs up a totally reflecting sail on which to shine the laser, what is the maximum weight the magician could suspend with this technique

Sagot :

Answer:

F = 2.65 10⁻¹¹ N

Explanation:

The radiation pressure for a fully reflective surface is

          P = 2S / c

where S is the pointiing vector which is the energy per unit area,

          S = I = [tex]\frac{\ P_{prom} }{A}[/tex]

         

the area of ​​a circle is

           A = π r² = π d²/4

           

           S = [tex]\frac{3.98 \ 10^{-3} }{ \frac{\pi \ 0.003^2 }{4} }[/tex]

           S = 0.563 10⁻³ W / m2

let's calculate the pressure

           P = 2 0.563 10⁻³/3 108

           P = 0.3753 10⁻⁵  N / m²

this pressure exerts an upward force, the definition of pressures

           P = F / A

           F = P A

let's calculate

           F = 0.3753 10-5 π / 4 0.003²

           F = 2.65 10⁻¹¹ N

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