10.) The stored chemical energy in a 120 g frozen beef and bean burrito is about 350 Cal = 350 kcal. If all of that energy was converted to gravitational potential energy, how high would you have to lift the frozen burrito?
a. 298 m
b. 857 m
c. 1250 m
d. 2.98 x 105 m
e. 1.25 x 106 m
a. 298 m
b. 857 m
c. 1250 m
d. 2.98 x 105 m
e. 1.25 x 106 m
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Let the chemical energy be "CE" then by conservation of energy:
E tot = E 'tot
CE = PE g
CE = mgh
h = [CE] / [mg]
Now note that you need to convert calories to Joules and grams to kg:
350000 cal = 1464000 J
120 g = 0.120 kg
h = [1464000 J] / [(0.120 kg)(9.81 m/s^2)]
h= 1240000 m
h = 1.24 x 10^6 m
Thus E is the correct answer.
Done!
E tot = E 'tot
CE = PE g
CE = mgh
h = [CE] / [mg]
Now note that you need to convert calories to Joules and grams to kg:
350000 cal = 1464000 J
120 g = 0.120 kg
h = [1464000 J] / [(0.120 kg)(9.81 m/s^2)]
h= 1240000 m
h = 1.24 x 10^6 m
Thus E is the correct answer.
Done!