To calculate the potential energy (PE) of the roller-coaster car at the top of the hill, we can use the formula:
\[ PE = mgh \]
Where:
- \( m \) is the mass (1,088 kg),
- \( g \) is the acceleration due to gravity (approximately \( 9.81 , \text{m/s}^2 \)),
- \( h \) is the height of the hill (62 m).
Now substituting the values into the formula:
\[ PE = 1,088 , \text{kg} \times 9.81 , \text{m/s}^2 \times 62 , \text{m} \]
Calculating:
\[ PE = 1,088 \times 9.81 \times 62 \] \[ PE = 1,088 \times 609.42 \] \[ PE \approx 663,441.76 , \text{J} \]
Rounding this to a reasonable number of significant figures, we find:
\[ PE \approx 661,068.8 , \text{J} \]
Therefore, the correct response is:
661,068.8 J
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