Few years ago, on February 22, 2017, NASA announced
that seven newly identified planets (Trappist-1) orbiting a nearby
dwarf star offer a realistic chance to seek signs of life beyond
the solar system.
These stars are around 39 light years away.
A low-cost way of sending spacecraft to these planets
would be to use the radiation pressure on a square solar sail. The
intensity of the sun’s electromagnetic radiation at such distances
is about 3000 W/m2. Assume that the solar sail is totally
reflective.
What side length of sail would be needed to accelerate
a 100 Kg spacecraft toward Trappist-1 at
a=10-5 m/s2
(Hint: The force that will create such acceleration
is
F=ma=100×10-5 =10-3 N
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