If you ate a SNICKERSTM bar that has 220 Calories, and you can burn off 1.84 horsepower when running stairs, how long in minutes would you have to run to burn off that indulgent snack?
(Hints: 1 Calorie (food) = 1,000 calories (heat); 1 calorie = 4.18 Joules; 1 horsepower (hp) = 746 Watts).
+33666 Energy required = 220*1000*4.18 J
$${\mathtt{Energyrequired}} = {\mathtt{220}}{\mathtt{\,\times\,}}{\mathtt{1\,000}}{\mathtt{\,\times\,}}{\mathtt{4.18}} = {\mathtt{Energyrequired}} = {\mathtt{919\,600}}$$ Joules
Power available = 1.84*746 J/s
$${\mathtt{Poweravailable}} = {\mathtt{1.84}}{\mathtt{\,\times\,}}{\mathtt{746}} = {\mathtt{Poweravailable}} = {\mathtt{1\,372.64}}$$ Joules/second
Time = Energy required/(60*Power available) minutes
$${\mathtt{Time}} = {\frac{{\mathtt{919\,600}}}{\left({\mathtt{60}}{\mathtt{\,\times\,}}{\mathtt{1\,372.64}}\right)}} = {\mathtt{Time}} = {\mathtt{11.165\: \!831\: \!293\: \!468\: \!547\: \!2}}$$minutes
+33666 Energy required = 220*1000*4.18 J
$${\mathtt{Energyrequired}} = {\mathtt{220}}{\mathtt{\,\times\,}}{\mathtt{1\,000}}{\mathtt{\,\times\,}}{\mathtt{4.18}} = {\mathtt{Energyrequired}} = {\mathtt{919\,600}}$$ Joules
Power available = 1.84*746 J/s
$${\mathtt{Poweravailable}} = {\mathtt{1.84}}{\mathtt{\,\times\,}}{\mathtt{746}} = {\mathtt{Poweravailable}} = {\mathtt{1\,372.64}}$$ Joules/second
Time = Energy required/(60*Power available) minutes
$${\mathtt{Time}} = {\frac{{\mathtt{919\,600}}}{\left({\mathtt{60}}{\mathtt{\,\times\,}}{\mathtt{1\,372.64}}\right)}} = {\mathtt{Time}} = {\mathtt{11.165\: \!831\: \!293\: \!468\: \!547\: \!2}}$$minutes
