Question

The Sun radiates about 3.83 × 1026 W of power. What is the force resulting from the solar radiation on Earth? The radius of Earth's orbit is 1.50 × 1011 m and the radius of Earth is 6.37 × 106 m. Assume that all the radiation is absorbed by Earth.

A. 1.8 × 108 N

B. 2.9 × 108 N

C. 5.8 × 108 N

D. 8.8 × 109 N

E. None of these is correct.

Answer 1

The force resulting from solar radiation on Earth is approximately 1.83 × 10⁸ N.

Step-by-step explanation:

The force resulting from solar radiation on Earth can be calculated using the formula F = P/A, where F is the force, P is the power, and A is the area. The power of the Sun's radiation is given as 3.83 × 10²⁶ W. The area can be calculated using the formula A = πr^2, where r is the radius of Earth's orbit. Substituting the given values into the formulas, we get:

F = (3.83 × 10²⁶ W) / (π × (1.50 × 10¹¹ m)²)

Calculating this gives us F ≈ 1.83 × 10⁸ N. Therefore, the force resulting from the solar radiation on Earth is approximately 1.83 × 10⁸ N.

Answer 2

The force resulting from solar radiation on Earth is approximately 1.28 × 10^18 N.

Step-by-step explanation:

The force resulting from solar radiation on Earth can be calculated using the formula:

Force = Power / Speed of light

The power radiated by the Sun is 3.83 × 10^26 W. Since all the radiation is absorbed by Earth, this represents the force exerted on Earth. The speed of light is approximately 3.00 × 10^8 m/s.

Plugging in the values:

Force = 3.83 × 10^26 W / 3.00 × 10^8 m/s = 1.28 × 10^18 N

So, the force resulting from solar radiation on Earth is approximately 1.28 × 10^18 N.