Chapter 31: Q. 51 (page 903)

The intensity of sunlight reaching the earth is $1360 W / m^{2}$ . Assuming all the sunlight is absorbed, what is the radiation pressure force on the earth $?$ Give your answer (a) in newtons and (b) as a fraction of the sun's gravitational force on the earth.

Short Answer

Expert verified

a. Pressure force in newton is $45.3 \times 10^{- 6} N / m^{2}$

b. Gravitational force on earth is $3.5 \times 10^{22} N$ .

Step by step solution

Calculation for pressure force (part a)

Given info:

Intensity is $13600 \frac{W}{m^{2}}$ .

Radiation pressure $Pressure \to P_{rad}$ is the force enclosed on an item per unit,

On an object that absorbs all light, the radiation pressure is:

$P_{rad} = \frac{F}{A}$

$= \frac{\frac{P}{A}}{c}$

$= \frac{I}{c}$

$P_{rad} = \frac{13600 \frac{W}{m^{2}}}{3 \times 10^{8} \frac{m}{s}}$

$P_{rad} = 45.3 \times 10^{- 6} N / m^{2}$

Calculation for pressure force (part b)

Gravitation force is,

$F_{g} = \frac{G \times M_{e} \times M_{s}}{d^{2}}$

$F_{g} = \frac{6.67 \times 10^{- 11} \times 5.98 \times 10^{24} \times 1.98 \times 10^{30}}{{(150 \times 10^{9})}^{2} m^{2}}$

$F_{g} = 3.5 \times 10^{22} N$

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The intensity of sunlight reaching the earth is $1360 W / m^{2}$ . Assuming all the sunlight is absorbed, what is the radiation pressure force on the earth $?$ Give your answer (a) in newtons and (b) as a fraction of the sun's gravitational force on the earth.

Short Answer

Step by step solution

Calculation for pressure force (part a)

Calculation for pressure force (part b)

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The intensity of sunlight reaching the earth is 1360W/m2. Assuming all the sunlight is absorbed, what is the radiation pressure force on the earth? Give your answer (a) in newtons and (b) as a fraction of the sun's gravitational force on the earth.

Short Answer

Step by step solution

Calculation for pressure force (part a)

Calculation for pressure force (part b)

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Astrophysics

Radiation

Medical Physics

Space Physics

Physical Quantities And Units

Oscillations

Study anywhere. Anytime. Across all devices.

The intensity of sunlight reaching the earth is $1360 W / m^{2}$ . Assuming all the sunlight is absorbed, what is the radiation pressure force on the earth $?$ Give your answer (a) in newtons and (b) as a fraction of the sun's gravitational force on the earth.