Comparing these two values, Fgav is much greater than Fr.
First, calculate the force produced by the radiation pressure:
The radiation pressure produces a force equal to,
Fr=pr(πRe2)
=(I/c) ( πRe2)
Given that
I= Intensity of sun = 1370 W/m²
c = speed of light = 2.998×108m/s
Re = Radius of the earth= 6.37×106m
Ms= mass of sun = 2.0×1030kg
Me= mass of earth = 5.98×1024kg
des2 = distance of earth and sun apart =1.5×1011m
Substituting the given values according to the question
Fr= π (1.37 × 103 kW/m2) (6.37×106m)2/2.998×108m/s
=6.0×108N
(b) The gravitational pull of the Sun on the Earth is,
Fgav= GMsMe/ des2
putting values according to question
Fgav= (6.67×10−11 N⋅m2/kg2) (2.0×1030kg) (5.98×1024kg) / (1.5×1011m)2
=3.6×1022N.
Comparing these two values, it is obvious that Fgav is much greater than Fr.
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