In the 25 ft Space Simulator facility at NASA's Jet Propulsion Laboratory, a bank of overhead arc lamps can produce light of intensity 2500 W/m2 at the floor of the facility. A) Find the average radiation pressure (in pascals) on a totally absorbing section of the floor. B) Find the average radiation pressure (in atmospheres) on a totally absorbing section of the floor. C) Find the average radiation pressure (in pascals) on a totally reflecting section of the floor. D) Find the average radiation pressure (in atmospheres) on a totally reflecting section of the floor.

a) 8.33 x 10^-6 Pa

b) 8.23 x 10^-11 atm

c) 1.67 x 10^-5 Pa

d) 1.65 x 10^-10 atm

Explanation:

Intensity of the light = 2500 W/m^2

speed of light = 3 x 10^8 m/s

a) we know that the pressure for for a totally absorbing surface is given as

= = 2500/(3 x 10^8) = 8.33 x 10^-6 Pa

b) 1 atm = 101325 Pa

= (8.33 x 10^-6)/101325 = 8.23 x 10^-11 atm

c) for a totally reflecting surface

= = twice the value for totally absorbing

 = 2 x 8.33 x 10^-6 = 1.67 x 10^-5 Pa

d)  1 atm = 101325 Pa

= 2 x 8.23 x 10^-11  = 1.65 x 10^-10 atm

we have been given a quadratic function and we need to restrict the domain such that it becomes a one to one function.

we know that vertex of this quadratic function occurs at (5,2).

further, we know that range of this function is .

if we restrict the domain of this function to either or , it will become one to one function.

let us know find its inverse.

upon interchanging x and y, we get:

let us now solve this function for y.

hence, the inverse function would be if we restrict the domain of original function to and the inverse function would be if we restrict the domain to .