The intensity of sunlight reaching the earth is 1360W/m2 . Assuming all the sunl

Question

The intensity of sunlight reaching the earth is 1360W/m2 .

Assuming all the sunlight is absorbed, what is the radiationpressure force on the earth? Give your answer in newtons

Express your answer with the appropriate units.

Frad =

I KNOW Frad 5.78E

Assuming all the sunlight is absorbed, what is the radiationpressure force on the earth? Give your answer as a fraction of the sun's gravitational force on the earth.

Express your answer using three significant figures.

THESE ANSWERS ARE INCORRECT!!!! SOME MAY BE CORRECT FOR PART A BUT THEY ARE ALL INCORRECT FOR PART B

I am presuming that 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=6.67x10^(-11)=6.67e-11
M=mass sun = 2x10^30kg=2e30
m=mass earth = 6x10^24kg
r=earth sun distance = 1.5x10^11m

F=(6.6e-11)(2e30)(6e24)/(1.5e11)^2 = 3.56e22N   THIS IS INCORRECT!!!!!!!!!!!

Fgrav = Gm1m2/R^2

Fgrav = 6.67*10^-11* 1.99*10^30 * 5.97*10^24/1.5^2*10^22

Fgrav = 3.52*10^22

so Frad/Fgrav = 1.28*10^18/3.52 *10^22 =3.636 *10^-5     THIS IS ALSO INCORRECT!!!!!!

Frad =

I KNOW Frad 5.78E

Assuming all the sunlight is absorbed, what is the radiationpressure force on the earth? Give your answer as a fraction of the sun's gravitational force on the earth.

Express your answer using three significant figures.

THESE ANSWERS ARE INCORRECT!!!! SOME MAY BE CORRECT FOR PART A BUT THEY ARE ALL INCORRECT FOR PART B

Explanation / Answer

Radiation Pressure = Intensity / Speed of Light.

Radiation Pressure = 1360 / (3 x 10^5) N/m^2

Radiation Pressure = 453.33 x 10^(-5) N/m^2

Force = Pressure x Area

Here, Area is the area of earth facing sun..so, half of area of earth..

Force = Pressure x (2 x pi x r^2)

Force = 453.33 x 10^(-5) x 2 x 3.14 x (6378.1 x 10^3)^2

Force = 453.33 x 10^(-5) x 2 x 3.14 x 6378.1 x 6378.1 x 10^6

Force = 115812850827.69 x 10 N

Force = 1158128508276.9 Newtons

Related Questions

Navigate

• Browse (All)
• Browse T
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.