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This is a model for the effect of distance on the strength of a gravitational field. The thickness of the layer resembles the gravitational force and the distance between the sprayer and the canvas resembles the distance between the two massive objects. a The paint sprayer can spraypaint a 1 mm thick layer on a canvas from a distance (r) of 1 meter. If the distance is doubled, what will the thickness of the layer of paint be?
The diagram shows that for a given solid angle Ω the area enclosed is proportional to R^2 - so doubling R will cause an increase of 4 in the enclosed area
V(volume) = Area * thickness
Example:
For a sphere Ω = 4 pi R^2 / R^2 = 4 pi the total solid angle for a sphere
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