The chemical potential energy of 0.1kg of gasoline is higher than the carbon dioxide and water which result from burning it by roughly 4,000,000 joules. If you burn 0.1kg of gasoline in a 2000kg automobile and drive up a long hill, what is the absolute maximum increase in vertical distance that you can achieve?
(A) 4,000,000m.
(B) 2500m.
(C) 2000m.
(D) 200m.
The chemical potential energy of 0.1kg of gasoline is higher than the carbon dioxide and water which result from burning it by roughly 4,000,000 joules. If you burn 0.1kg of gasoline in a 2000kg automobile and drive up a long hill, what is the absolute maximum increase in vertical distance that you can achieve?
(A) 4,000,000m. --- No.
P.E. = force times maximum distance.
The chemical potential energy of 0.1kg of gasoline is higher than the carbon dioxide and water which result from burning it by roughly 4,000,000 joules. If you burn 0.1kg of gasoline in a 2000kg automobile and drive up a long hill, what is the absolute maximum increase in vertical distance that you can achieve?
(B) 2500m. --- No.
Calculate something.
The chemical potential energy of 0.1kg of gasoline is higher than the carbon dioxide and water which result from burning it by roughly 4,000,000 joules. If you burn 0.1kg of gasoline in a 2000kg automobile and drive up a long hill, what is the absolute maximum increase in vertical distance that you can achieve?
(C) 2000m. --- No.
Remember that the weight of the auto is
mg = (2000)(10)N = 20,000N.
The chemical potential energy of 0.1kg of gasoline is higher than the carbon dioxide and water which result from burning it by roughly 4,000,000 joules. If you burn 0.1kg of gasoline in a 2000kg automobile and drive up a long hill, what is the absolute maximum increase in vertical distance that you can achieve?
(D) 200m. --- Yes. P.E. = Fd,
F = W = mg = 20,000N, 4,000,000J = (20,000N)d,
so d = (4,000,000J)/(20,000N) = 200m.
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