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A 1408.0 kg roller coaster car sits atop a 99.8 m hill. How much potential energy does it have? Round to 1 decimal place, include units.

Answer :

Final answer:

The potential energy of the roller coaster car sitting atop the hill is approximately 1.4 x 10^6 J, when considering gravitational constant to be approximately 9.8 m/s².

Explanation:

The potential energy of an object can be calculated using the formula PE = mgh, where m represents the mass of the object, g is the acceleration due to gravity, and h is the height above the ground. In this case, the object is a roller coaster car, with a mass (m) of 1408.0 kg, the gravitational constant (g) is approximately 9.8 m/s², and the height (h) of the hill is 99.8 m.

Plugging these values into the formula we get PE = (1408.0 kg) * (9.8 m/s²) * (99.8 m) = 1375539.2 J. Therefore, rounding to 1 decimal place, the roller coaster car has a potential energy of 1375539.2 J or approximately 1.4 x 10^6 J. Note that we considered the work done by friction to be negligible in this case.

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