Question

The intensity of electromagnetic waves from the sun is 1.4 kW/m²

|ust above the earth's atmosphere. Eighty percent of this reaches the How many joules of solar energy fall on your back as you work on your tan for 1.30 hr ? surface at noon on a clear summer day. Suppose Express your answer with the appropriate units. you think of your back as a 25.0 cm×53.0 cm rectangle.

Answer 1

Approximately 623,160 joules of solar energy fall on your back as you work on your tan for 1.30 hours.

Step-by-step explanation:

To calculate the amount of solar energy that falls on your back, we need to first calculate the intensity of the solar energy reaching the Earth's surface. Given that the intensity just above the Earth's atmosphere is 1.4 kW/m² and 80% of this reaches the surface, we can calculate the intensity at the surface:

Intensity at surface = 80% x 1.4 kW/m² = 1.12 kW/m²

Next, we need to calculate the area of your back that is exposed to the sunlight. Assuming your back is a 25.0 cm x 53.0 cm rectangle, the area is:

Area = 25.0 cm x 53.0 cm = 1,325 cm² = 0.1325 m²

Finally, we can calculate the amount of solar energy falling on your back:

Energy = Intensity x Area x Time = 1.12 kW/m² x 0.1325 m² x 1.30 hr

Converting hours to seconds and kilowatts to joules:

Energy = 1.12 kW/m² x 0.1325 m² x 1.30 hr x 3,600 s/hr x 1,000 J/kJ = 623,160 J

So, approximately 623,160 joules of solar energy fall on your back as you work on your tan for 1.30 hours.