## The intensity of sunlight at the Earth’s distance from the Sun is 1370 W/m2. (a) Assume the Earth absorbs all the sunlight incident upon it.

Question

The intensity of sunlight at the Earth’s distance from the Sun is 1370 W/m2. (a) Assume the Earth absorbs all the sunlight incident upon it. Find the total force the Sun exerts on the Earth due to radiation pressure. N (b) Explain how this force compares with the Sun’s gravitational attraction.

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6 months 2021-08-14T05:13:34+00:00 1 Answers 0 views 0

F= 3.56e22N

Explanation:

Using the force of radiation acting on the earth which is

force = radiation pressure x area = (intensity/c)xpi R^2

force = 1370W/m^2 x pi x( 6.37×10^6m)^2/3×10^8m/s

force = 5.82×10^8 N

But the sun’s gravitational attraction means the magnitude of the solar gravitational force on earth: If that’s the case, the answer is approx 10^22 N:

F=GMm/r^2

G=6.67×10^(-11)=6.67e-11

M=mass sun = 2×10^30kg=2e30

m=mass earth = 6×10^24kg

r=earth sun distance = 1.5×10^11m

F=(6.6e-11)(2e30)(6e24)/(1.5e11)^2 =

F= 3.56e22N