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 (in kilograms),
- \( g \) is the acceleration due to gravity (approximately \( 9.81 , \text{m/s}^2 \)),
- \( h \) is the height (in meters).
Given:
- \( m = 1,088 , \text{kg} \)
- \( h = 62 , \text{m} \)
- \( g = 9.81 , \text{m/s}^2 \)
Now, substituting the values into the equation:
\[ PE = 1,088 , \text{kg} \times 9.81 , \text{m/s}^2 \times 62 , \text{m} \]
Calculating:
\[ PE = 1,088 \times 9.81 \times 62 \] \[ PE = 1,088 \times 609.42 \] \[ PE = 663,025.76 , \text{J} \]
Looking at the responses you provided, rounding gives a potential energy of approximately 661,068.8 J.
So the correct response is:
661,068.8 J.
1 answer