Please show all work and formula used im really trying to learn how to do this p

Question

Please show all work and formula used im really trying to learn how to do this problem

A laser emits light at power 5.90 mW and wavelength 633 nm. The laser beam is focused (narrowed) until its diameter matches the 1,410 nm diameter of a sphere placed in its path. The sphere is perfectly absorbing and has density 5.00 x 10^3 kg/m^3. What are : the beam intensity at the sphere's location, the radiation pressure on the sphere, the magnitude of the corresponding force, and the magnitude of the acceleration that force alone would give the sphere? [5]

Explanation / Answer

Radiation pressure is defined as LASER Energy divided by speed of light in vaccum 'c' can be written as -

Pradiation = Ef/c

= [5.90*10-3]/[3*108]

= 1.96*10-11 N/m2

force applied on sphere = P*A

F = 4.89*10-22 N

ma = F

a = 9.78*10-26 m/sec2

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