(1) You're outside mowing some grass. The roar from the lawnmower's engine has an intensity I_m = 2.18 mW/m2 (milliwatts per square meter) at a distance of 1.18 m. Calculate the sound powerP_m of the lawnmower, assuming that it radiates sound uniformly in all directions. (2) A nearby tornado siren goes off, the sound reaching you with an intensity Is 0.283 W/m2 (no prefix!). The siren's sound power isP_s = 589 W. Calculate your distance from the siren. (3) Calculate the intensity levels_m and_s of the sound from the mower and of the siren at your position. (4) Calculate how far you'd have to be from the siren for its sound intensity level (in dB) to be exactly the same as the lawnmower's, as calculated in #3. Hint: If the sound intensity level is the same, what else must be the same? The distance you calculate here will be larger than the distances used so far, in fact larger than it would be inreal life, because you're not taking into account the fact that air gradually muffles sound waves as they travelthrough it. But you shouldn't get a distance of tens or hundreds of kilometers. (5) That night, you dream you're surrounded by N lawn mowers (if the current hour is even) or N tornado sirens (odd hour). N is 5 x the total number of letters in your first and last names. The intensity due to each mower or siren is the same as chosen in #1 or #2. Calculate the total sound intensity level (in dB) you hear in your dream, assuming dream physics works just like real physics.