A “mosquito push-up” is the work done by a mosquito when it lifts its body (m ≈ 1 milligram) through a distance of 1 mm (the approximate length of a mosquito’s “arms”). This amount of mechanical energy is very small. 

(a) How many mosquito pushups does it take to equal the energy in a baseball (m = 0.14 kg) moving at 45 m/s (about 100 mi/h)? 

(b) How many photons of yellow light (λ = 580 nm) does it take to equal one mosquito push-up?