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Q&A: Calculations involving flux of sunlight?

Question by John D: Calculations involving flux of sunlight?
I have a modern physics problem where I need to calculate total energy and momentum of photons provided to a solar sail.

I am given that there’s a spacecraft travelling from Earth to Mars, powered by a solar sail of 600 m^2 with constant flux of sunlight F = 1373 W/m^2 and this takes a time of 5 years.

Then I have to find the spacecraft’s final velocity, and then it’s kinetic energy.

I have looked in our textbook and online, and can’t find equations on how to solve this. Could anybody help me please?

Best answer:

Answer by Magical P
This seems to be a kinematic based problem.

if F = 1373 W/m^2 = ma

where m is the mass of the spaceship and a is the acceleration of the ship.

we know the the area of the sail is 600 m^2, and its receiving the solar power…

remember flux is defined as a flow of something through a specific area.

Lets take F = 1373 and multiply by the area of the sale..we get:

F = 1373 W/m^2 * 600 m^2 = 823800 W = ma

from kinematics we know that:

V = Vo + at

where V is the final velocity, Vo is the initial velocity (this is zero since we started at a speed of zero), and t is in kg over W.

This is where i lose you, since i have no idea what W stands for..

but kinetic energy = .5 * m * v^2

Hope that sorta helped!

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