Which of the following statements is true about a rollercoaster car travelling down the track?The store of GPE is decreasing and the store of KE is decreasing.The store of GPE is increasing and the store of KE is decreasing.The store of GPE is decreasing and the store of KE is increasing.The store of GPE is increasing and the store of KE is increasing.
Question
Which of the following statements is true about a rollercoaster car travelling down the track?The store of GPE is decreasing and the store of KE is decreasing.The store of GPE is increasing and the store of KE is decreasing.The store of GPE is decreasing and the store of KE is increasing.The store of GPE is increasing and the store of KE is increasing.
Solution
The correct statement is: "The store of GPE (Gravitational Potential Energy) is decreasing and the store of KE (Kinetic Energy) is increasing."
Here's why:
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As the rollercoaster car travels down the track, it is moving from a higher point to a lower point. This means it is losing height, and therefore its Gravitational Potential Energy (GPE) is decreasing. GPE is directly related to the height of an object; the higher the object, the greater its GPE.
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At the same time, as the car is moving downwards, it is gaining speed. This means its Kinetic Energy (KE), which is the energy of motion, is increasing. The faster an object moves, the greater its KE.
So, as the rollercoaster car travels down the track, it is converting its stored GPE into KE. This is an example of the conservation of energy, where the total energy in a closed system (in this case, the rollercoaster car and the Earth) remains constant.
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