Given what we know about the calculations for gravitational potential energy, we can confirm that the roller coaster with the higher gravitational potential energy at the start of the ride is the "Twister" roller coaster.
Gravitational potential energy is a measurement that arises from the calculation of the:
- Mass
- Height
- Gravitational field
of an object, and the relationship between these factors.
The relationship between these factors is one of a directionally proportional correlation. What this means is that since there is no division to be had between them, only multiplication, any increase in one of these factors will increase the overall gravitational potential energy of the object.
That being said, since the question states that both of the rides in question have the same height and are at the same amusement park (meaning we can assume they have the same gravitational field), then the only factor remaining is the mass. The question tells us that twister has twice the mass of the runaway train, therefore, twister has higher gravitational potential energy.
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