For a science project, you would like to horizontally suspend an8.5 by 11 inch sheet of black paper in a vertical beam of light whose dimensions exactly match the paper. If the mass of the sheet is 1.0g, what light intensity will you need?

Short Answer

Expert verified

Needed light intensity is4.9×107W/m2.

Step by step solution

01

Calculation for Area and force

Area is,

A=8.5inch×11inch

A=0.215m×0.279m

A=0.059m2

Force is,

F=m×g

localid="1650002776253" F=1×10-3Kg×9.8

F=9.8×10-3N

02

Calculation for power

If an item absorbs energy over a time intervalt, the momentum will vary as follows:

ΔP=energy absorbedc

F=ΔPΔt=energyΔtc

F=Pc

P=F×c

P=9.8×10-3N×3×108m/s

P=29.4×105W

03

Calculation for intensity

Intensity is,

Iavg=PA

Iavg=29.4×105W0.059m2

Iavg=4.9×107W/m2

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