The sun is 150,000,000 km from earth; its diameter is 1,400,000 km. For a science project on solar power, a student uses a 24-cm-diameter converging mirror with a focal length of 45 cm to focus sunlight onto an object. This casts an image of the sun on the object. For the most intense heat, the image of the sun should be in focus.

a. Where should the object be placed?

b. What is the diameter of the image?

c. The intensity of the incoming sunlight is 1050 W/m2 . What is the total power of the light captured by the mirror?

d. What is the intensity of sunlight in the projected image? Assume that all of the light captured by the mirror is focused into the image