Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1) We are in space, and we turn on a verysmall, but powerful, spherically-shaped

ID: 1678902 • Letter: 1

Question

1)     We are in space, and we turn on a verysmall, but powerful, spherically-shaped light source. Thelight source delivers 1.00 kW/m2 at 1.00 cmfrom its center. There is a small particle of space dust atrest, 10.0 cm away from the center of the light source. The particle of space dust has a mass of 1.00 m g, adiameter of 1.00 m m, and is perfectlyreflecting. Assume that the piece of space dust behaves likea flat disc at right angles to the light rays.

a.      What is the speed of the dustparticle 1.00 s after the light is turned on?

b.     What is the amplitude of the electricfield that the dust particle sees?

c.      What is the amplitude of themagnetic field that the dust particle sees?


Explanation / Answer

so Energy absorbed = KE of the dust particle so as intensity falls as the square of distance , so at 10 cmwe have intensity = 0.01 KW/m2 so energy absorbed = 0.01* (4/3 r3)=  1/6*10-8 J = 1/2(10-6)v2 so v = (/300)1/2 m/s