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NewtonianAlch
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Homework Statement
NASA is considering solar sailing: using the momentum of light and of massive particles emitted from the sun to help push a spacecraft equipped with large, diaphanous sails. Assume that the density of the material from which the sails are made is about 1000kg.m[itex]^{-3}[/itex].
a) What is the minimum thickness of a sail such that the use of the momentum from the sun's light is enough to balance the gravitational attraction (of the sail alone) towards the sun? At the Earth's orbit (150 million km), the "solar constant" or intensity of solar radiation is: 1.4kW.m[itex]^{-2}[/itex].
m[itex]_{sun}[/itex] = 1.99E30, G = 6.67E-11
b) How does the answer depend on distance from the sun?
Homework Equations
Force = Gmm/r^2
Volume = Area x Thickness
Density = Mass/Volume
The Attempt at a Solution
I'm not entirely sure how to start this. I guess I would need to find out the Area somehow, as well as the mass of the sail, that could help determine the gravitational attraction.