Calc Energy to Take 1,112kg Car 1.2km Up Mtn: 3SF

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To calculate the energy required to elevate a 1,112 kg car 1.2 km up a mountain, the potential energy formula PE = mgh is used. Substituting the values, the calculation yields PE = (1112 kg)(9.81 m/s²)(1200 m), resulting in 13,090,464 Joules. This value should be rounded to three significant figures, giving the final answer as 1.31E7 Joules. The discussion emphasizes the importance of using precise values for gravitational acceleration to ensure accuracy in large number calculations. The correct energy required is thus confirmed as 1.31E7 Joules.
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Homework Statement


What is the energy needed to take a 1,112 kg car to 1.2 km up a mountain? Write your answer to 3 significant figures.


Homework Equations


PE = KE
PE = mgh
KE = ½mv2
mgh = ½mv2
1 km = 1000 m

The Attempt at a Solution


h = 1.2 km = 1200 m
PE = mgh = (1112)(9.8)(1200) = 13077120
PE = KE
Energy = 13077120 Joules

I don't think my answer is correct because it says to write my answer to 3 significant figures.
Where did I go wrong?
 
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dont forget...when dealing with large numbers its best to include as many sig figs in your calculations as possible, use 9.81 instead of 9.8 and you will get something that you can round to 1.31E7 J
 
SSJ2 said:
dont forget...when dealing with large numbers its best to include as many sig figs in your calculations as possible, use 9.81 instead of 9.8 and you will get something that you can round to 1.31E7 J

(1112)(9.81)(1200) = 13090464
13090464 = 1.31E7

Energy = 1.31E7 Joules

So, is that the answer?
 
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