The Evil Physics Monkey has finally crossed the fine line between party tricks a

Question

The Evil Physics Monkey has finally crossed the fine line between party tricks and felonies with the attempted genocide of the pigmy marmoset. You are now determined to make him pay the price. Using your physics knowledge, you fashion a makeshift spherical mirror/laser beam out of a roll of aluminum foil and a stick of bubblegum.

The power radiated from the sun lands on earth with a maximum flux of about 1 kW/m2.

a) The monkey is 10 m away. What radius should you make the mirror to maximize intensity on the monkey?

b) How large should the surface of the mirror be, to deliver than a megawatt per square meter onto a 1 cm2 monkey-butt surface?

After setting up a mirror with a focal length of 40 meters, the monkey runs in to 20 meters.

c) Where does the reflected image of the monkey appear, and how large is it?

Explanation / Answer

a) R = 2*10 = 20 m

c) 1/20 + 1/S' = 1/40

S' = 40 m from the mirror

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