Final answer:
To find the intensity of IR radiation at a distance of 3.00 m, we take the radiated power of 1500 W, account for half being reflected by the mirror, and calculate intensity with the formula Power/Area, resulting in 75000 W/m².
Step-by-step explanation:
To calculate the intensity of IR radiation projected by the concave mirror onto a person 3.00 m away in W/m², we use the given data: the heating element radiates 1500 W, the area is 100 cm², and half of the radiated power is reflected and focused by the mirror. The area of the heating element is 100 cm², which is equivalent to 0.01 m² (since 10000 cm² is equal to 1 m²). Since half of the power is reflected, the power that is actually focused by the mirror is 1500 W / 2 = 750 W. To find the intensity, we divide the power focused by the mirror by the area of the heating element. Therefore, the intensity is 750 W / 0.01 m² = 75000 W/m². This intensity is the power per unit area that would be felt by a person standing 3 meters away in the path of the reflected IR radiation from the heater.