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Which of the following statements is true about a rollercoaster car travelling down the track?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 decreasing.The store of GPE is increasing and the store of KE is increasing.The store of GPE is decreasing 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 increasing and the store of KE is decreasing.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 increasing.The store of GPE is decreasing and the store of KE is increasing.

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Solution

The correct statement is: "The store of GPE is decreasing and the store of KE is increasing."

Here's why:

  1. GPE stands for Gravitational Potential Energy. This is the energy an object has due to its position relative to other objects, due to gravity. When a rollercoaster car is at the top of a hill, it has a lot of GPE because it's high up and gravity can pull it down. As the car travels down the track, it's getting closer to the ground, so its GPE is decreasing.

  2. KE stands for Kinetic Energy. This is the energy an object has due to its motion. When the rollercoaster car is at the top of the hill, it's not moving very fast, so it doesn't have a lot of KE. But as it starts to move down the hill, it speeds up, so its KE is increasing.

So, as the rollercoaster car travels down the track, its GPE is decreasing (because it's getting closer to the ground) and its KE is increasing (because it's speeding up).

This problem has been solved

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